diff --git a/requirements.txt b/requirements.txt
index cb1a66eaf..35d99498d 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -13,3 +13,5 @@ termcolor >= 1.1.0
trimesh >= 2.37.22
# Required by trimesh.
networkx
+# required for pytests of project/point_convolutions
+sklearn
diff --git a/tensorflow_graphics/projects/point_convolutions/.flake8 b/tensorflow_graphics/projects/point_convolutions/.flake8
new file mode 100644
index 000000000..f4e3292ee
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/.flake8
@@ -0,0 +1,32 @@
+[flake8]
+inline-quotes = double
+max-line-length = 79
+max-complexity = 10
+exclude = .git,
+ .tox,
+ .pytest_cache,
+ __pycache__,
+ tensorflow_graphics/projects/*
+ tensorflow_graphics/submodules/*
+ignore = C901,
+ E101,
+ E111,
+ E114,
+ E121,
+ E125,
+ E126,
+ E129,
+ E221,
+ E265,
+ E271,
+ E305,
+ E306,
+ #E501,
+ E502,
+ E731,
+ E741,
+ F401,
+ F812,
+ W191,
+ W503,
+ W504,
\ No newline at end of file
diff --git a/tensorflow_graphics/projects/point_convolutions/LICENSE b/tensorflow_graphics/projects/point_convolutions/LICENSE
new file mode 100644
index 000000000..d64569567
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/LICENSE
@@ -0,0 +1,202 @@
+
+ Apache License
+ Version 2.0, January 2004
+ http://www.apache.org/licenses/
+
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diff --git a/tensorflow_graphics/projects/point_convolutions/README.md b/tensorflow_graphics/projects/point_convolutions/README.md
new file mode 100644
index 000000000..83db3fe66
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/README.md
@@ -0,0 +1,70 @@
+# TensorFlow Graphics Point Cloud Convolutions
+
+This module contains a python TensorFlow module `pylib` and a custom ops package in `tfg_custom_ops`.
+While it is possible to run without the custom ops package, it is strongly advised to install it for performance and memory efficiency.
+
+## Content
+
+This code contains all necessary operations to perform point cloud convolutions
+
+1. Datastructure
+ - Point cloud class for batches of arbitrary sized point clouds.
+ - Memory efficient regular grid data structure
+2. Point cloud operations
+ - Neighborhood computation
+ - Point density estimation
+ - Spatial sampling
+ - Poisson Disk sampling
+ - Cell average sampling
+3. Convolution kernels
+ - Kernel Point Convolutions
+ - linear interpolation
+ - gaussian interpolation
+ - deformable points with regularization loss as in [KPConv](https://arxiv.org/abs/1904.08889)
+ - MLP
+ - multiple MLPs as in [MCConv](https://arxiv.org/abs/1806.01759)
+ - single MLP as in [PointConv](https://arxiv.org/abs/1811.07246)
+4. Feature aggregation inside receptive fields
+ - Monte-Carlo integration with pdf
+ - Constant summation
+5. Easy to use classes for building models
+ - `PointCloud` class
+ - `PointHierarchy` for sequential downsampling of point clouds
+ - layer classes
+ - `MCConv`
+ - `PointConv`
+ - `KPConv`
+ - `Conv1x1`
+
+## Installation
+
+Precompiled versions of the custom ops package are provided in `custom_ops/pkg_builds/tf_*` for the latest TensorFlow versions.
+For compilation instructions see the [README](custom_ops/README.md) in the `custom_ops` folder.
+
+To install it run the following command (replace `VERSION` with your installed TensorFlow version, e.g. `2.3.0`)
+```bash
+ pip install custom_ops/tf_VERSION/*.whl
+```
+
+## Tutorials
+
+Check out the Colab notebooks for an introduction to the code
+
+- [Introduction](pylib/notebooks/Introduction.ipynb)
+- [Classification on ModelNet40](pylib/notebooks/ModelNet40.ipynb)
+
+## Unit tests
+
+Unit tests can be evaluated using
+
+```bash
+ pip install -r pytest_requirements.txt
+ pytest pylib/
+```
+
+These include tests of the custom ops if they are installed.
+
+## Additional Information
+
+You may use this software under the
+[Apache 2.0 License](https://github.com/schellmi42/tensorflow_graphics_point_clouds/blob/master/LICENSE).
\ No newline at end of file
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/__init__.py b/tensorflow_graphics/projects/point_convolutions/pylib/__init__.py
new file mode 100755
index 000000000..73eba35d2
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/__init__.py
@@ -0,0 +1,15 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific
+
+from pylib import pc
+# from pylib import io
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/io/__init__.py b/tensorflow_graphics/projects/point_convolutions/pylib/io/__init__.py
new file mode 100644
index 000000000..357760470
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/io/__init__.py
@@ -0,0 +1,18 @@
+# Copyright 2020 Google LLC
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+from .points import load_points_from_file_to_numpy
+from .points import load_points_from_file_to_tensor
+from .points import load_batch_of_points
+from .points import load_batch_of_meshes
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/io/points.py b/tensorflow_graphics/projects/point_convolutions/pylib/io/points.py
new file mode 100644
index 000000000..1cee23f4d
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/io/points.py
@@ -0,0 +1,222 @@
+# Copyright 2020 Google LLC
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+# Lint as: python3
+"""Small functions to load point clouds"""
+
+import os
+import tensorflow as tf
+import numpy as np
+from tensorflow_graphics.io.triangle_mesh import load as load_mesh
+
+
+def load_points_from_file_to_tensor(filename,
+ delimiter=',',
+ dimension=3,
+ dtype=tf.float32):
+ """ Loads point clouds with features from ASCII files using tf.io.gfile.GFile()
+
+ Args:
+ filename: A `string` path to the file.
+ delimiter: A `string` delimiter that separates the points in the file.
+ dimension: An `int` `D1` , the first `D1` elements in each line are
+ treated as point coordinates, the rest as features.
+ dtype: A `tf.dtype` of the output tensors
+
+ Returns:
+ points: A `Tensor` of shape `[N, D1]` and type dtype
+ features: A `Tensor` of shape `[N, D2]` and type dtype
+
+ Raises:
+ TypeError: if filename is not of type 'string'
+ FileNotFoundError: if filename does not exist
+
+ """
+
+ points = []
+ features = []
+ if isinstance(filename, str):
+ if tf.io.gfile.exists(filename):
+ with tf.io.gfile.GFile(filename, 'r') as in_file:
+ for line in in_file:
+ line_elements = line[:-1].split(delimiter)
+ points.append(line_elements[0:dimension])
+ if len(line_elements) > 3:
+ features.append(line_elements[dimension:])
+
+ points = tf.convert_to_tensor(value=points)
+ features = tf.convert_to_tensor(value=features)
+ points = tf.strings.to_number(input=points, out_type=dtype)
+ features = tf.strings.to_number(input=features, out_type=dtype)
+ return points, features
+ else:
+ raise FileNotFoundError(f"No such file: {filename}")
+ else:
+ raise TypeError("'filename' must be of type 'string'")
+
+
+def load_points_from_file_to_numpy(filename,
+ delimiter=',',
+ dimension=3,
+ max_num_points=None,
+ dtype=np.float32):
+ """ Loads point clouds with features from ASCII files using tf.io.gfile.GFile()
+
+ Args:
+ filename: `string` path to the file
+ delimiter: `string` delimiter that separates the points in the file
+ dimension: `int` D1 , the first D1 elements in each line are treated as
+ point coordinates, the rest as features
+ max_num_points: An `int` the maximum number of lines to read.
+ dtype: `np.dtype` of the output array
+
+ Returns:
+ points: A numpy array of shape [N,D1] and type dtype
+ features: A numpy array of shape [N,D2] and type dtype
+
+ Raises:
+ TypeError: if filename is not of type 'string'
+ FileNotFoundError: if filename does not exist
+
+ """
+
+ points = []
+ features = []
+ if isinstance(filename, str):
+ if tf.io.gfile.exists(filename):
+ with tf.io.gfile.GFile(filename, 'r') as in_file:
+ i = 0
+ for line in in_file:
+ if max_num_points is None or i < max_num_points:
+ line_elements = line[:-1].split(delimiter)
+ points.append(line_elements[0:dimension])
+ if len(line_elements) > 3:
+ features.append(line_elements[dimension:])
+ else:
+ break
+ i += 1
+
+ points = np.array(points, dtype=dtype)
+ features = np.array(features, dtype=dtype)
+ return points, features
+ else:
+ raise FileNotFoundError(f"No such file: {filename}")
+ else:
+ raise TypeError("'filename' must be of type 'string'")
+
+
+def load_batch_of_points(filenames,
+ batch_shape=[-1],
+ delimiter=',',
+ point_dimension=3,
+ dtype=tf.float32):
+ """ Loads a batch of point clouds form the given ASCII files and creates
+ zero padded `Tensor` for the point coordinates and the features and a `sizes`
+ tensor with the number of points per point cloud.
+
+ Args:
+ filenames: `list` of `string`, the paths to the files.
+ batch_shape: A 1D `int` `Tensor`, `[A1, ..., An]`.
+ delimiter: A `string` delimiter that separates the points in the file.
+ point_dimension: An `int` `D1` , the first `D1` elements in each line are
+ treated as point coordinates, the rest as features.
+ dtype: A `tf.dtype` of the output.
+
+ Returns:
+ points: A `Tensor`of shape `[A1, ..., An, V, D1]` and type `dtype`.
+ features: A `Tensor`of shape `[A1, ..., An, V, D2]` and type `dtype`.
+ sizes: An `int` `Tensor` of shape `[A1, ... , An]`.
+ """
+
+ batch_size = len(filenames)
+ if batch_shape != [-1] and tf.reduce_prod(batch_shape) != batch_size:
+ raise ValueError(
+ f'Invalid batch shape {batch_shape} for batch size {batch_size}')
+ points = []
+ features = []
+ max_num_points = 0
+ sizes = []
+ for filename in filenames:
+ curr_points, curr_features = load_points_from_file_to_tensor(
+ filename=filename, delimiter=delimiter, dtype=dtype)
+ points.append(curr_points)
+ features.append(curr_features)
+ sizes.append(len(curr_points))
+
+ sizes = tf.convert_to_tensor(value=sizes)
+ max_num_points = tf.reduce_max(sizes)
+
+ feature_dimension = features[0].shape[1]
+ for i in range(batch_size):
+ pad_size = max_num_points - sizes[i]
+ points[i] = tf.concat(
+ (points[i], tf.zeros(shape=[pad_size, point_dimension], dtype=dtype)),
+ axis=0)
+ features[i] = tf.concat(
+ (features[i], tf.zeros(shape=[pad_size, feature_dimension],
+ dtype=dtype)), axis=0)
+
+ points = tf.stack(values=points, axis=0)
+ features = tf.stack(values=features, axis=0)
+
+ points = tf.reshape(
+ tensor=points, shape=batch_shape + [max_num_points, point_dimension])
+ features = tf.reshape(
+ tensor=features, shape=batch_shape + [max_num_points, feature_dimension])
+ sizes = tf.reshape(tensor=sizes, shape=batch_shape)
+
+ return points, features, sizes
+
+
+def load_batch_of_meshes(filenames,
+ batch_shape=[-1],
+ file_type=None,
+ dtype=tf.float32,
+ **kwargs):
+ """ Loads a batch of point clouds from the given mesh files and creates a
+ zero padded `Tensor` for the point coordinates and a `sizes` tensor with the
+ number of points per point cloud.
+
+ Args:
+ filenames: A `list` of `strings`, the paths to the files.
+ batch_shape: A 1D `int` `Tensor` `[A1, ..., An]`
+ filename: A `string`, the path to the file.
+ file_type: A `string` specifying the type of the file (e.g. 'obj', 'stl').
+ If not specified the file_type will be inferred from the file name.
+ **kwargs: Additional arguments that should be passed to trimesh.load().
+ dtype: A `tf.dtype` of the output tensors
+
+ Returns:
+ points: A `Tensor`of shape `[A1, ..., An, V, 3]` and type `dtype`.
+ sizes: A int `Tensor`of shape `[A1, ..., An]`.
+ """
+ batch_size = len(filenames)
+ points = []
+ sizes = []
+ for filename in filenames:
+ mesh = load_mesh(filename, file_type=file_type, **kwargs)
+ curr_points = tf.convert_to_tensor(value=mesh.vertices, dtype=dtype)
+ points.append(curr_points)
+ sizes.append(len(curr_points))
+ tf.convert_to_tensor(sizes)
+ max_num_points = tf.reduce_max(sizes)
+
+ for i in range(batch_size):
+ pad_size = max_num_points - sizes[i]
+ points[i] = tf.concat(
+ (points[i], tf.zeros(shape=[pad_size, 3], dtype=dtype)), axis=0)
+ points = tf.stack(values=points, axis=0)
+ points = tf.reshape(tensor=points, shape=batch_shape + [max_num_points, 3])
+ sizes = tf.reshape(tensor=sizes, shape=batch_shape)
+
+ return points, sizes
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/io/tests/__init__.py b/tensorflow_graphics/projects/point_convolutions/pylib/io/tests/__init__.py
new file mode 100644
index 000000000..e69de29bb
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/io/tests/io_test.py b/tensorflow_graphics/projects/point_convolutions/pylib/io/tests/io_test.py
new file mode 100644
index 000000000..398739798
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/io/tests/io_test.py
@@ -0,0 +1,57 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+"""Class to test bounding box"""
+
+import os
+from os.path import dirname, abspath
+import sys
+import numpy as np
+import tensorflow as tf
+from absl.testing import parameterized
+from tensorflow_graphics.util import test_case
+
+from pylib.io import load_points_from_file_to_numpy
+from pylib.io import load_points_from_file_to_tensor
+from pylib.io import load_batch_of_points
+from pylib.io import load_batch_of_meshes
+
+
+class IO_test(test_case.TestCase):
+
+ def test_load_points(self):
+ data_path = dirname(dirname(dirname(dirname(abspath(__file__))))) + \
+ '/test_point_clouds' + '/modelnet40/'
+ points_np, features_np = load_points_from_file_to_numpy(
+ data_path + 'airplane_0001.txt')
+ points_tf, features_tf = load_points_from_file_to_tensor(
+ data_path + 'airplane_0001.txt')
+ self.assertAllClose(points_np, points_tf)
+ self.assertAllClose(features_np, features_tf)
+
+ points_np, features, sizes = load_batch_of_points(
+ [data_path + 'airplane_0001.txt'])
+ self.assertTrue(points_np.shape == [1, 10000, 3])
+ self.assertTrue(sizes.shape == [1])
+
+ def test_load_mesh(self):
+ data_path = dirname(dirname(dirname(dirname(abspath(__file__))))) + \
+ '/test_point_clouds' + '/meshes/'
+ points_np, sizes = load_batch_of_meshes(
+ [data_path + '69405.obj'])
+ self.assertTrue(points_np.shape == [1, 3960, 3])
+ self.assertTrue(sizes.shape == [1])
+
+
+if __name__ == '__main__':
+ test_case.main()
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/notebooks/Introduction.ipynb b/tensorflow_graphics/projects/point_convolutions/pylib/notebooks/Introduction.ipynb
new file mode 100644
index 000000000..0c12e9d63
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/notebooks/Introduction.ipynb
@@ -0,0 +1,937 @@
+{
+ "nbformat": 4,
+ "nbformat_minor": 0,
+ "metadata": {
+ "colab": {
+ "name": "TFG_point_clouds_test.ipynb",
+ "provenance": [],
+ "collapsed_sections": [],
+ "toc_visible": true
+ },
+ "kernelspec": {
+ "name": "python3",
+ "display_name": "Python 3"
+ },
+ "accelerator": "GPU"
+ },
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "-2xKG5Pgu_SX",
+ "colab_type": "text"
+ },
+ "source": [
+ "##### Copyright 2020 Google LLC."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "-RkUBOZbu3iz",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "#@title Licensed under the Apache License, Version 2.0 (the \"License\");\n",
+ "# you may not use this file except in compliance with the License.\n",
+ "# You may obtain a copy of the License at\n",
+ "#\n",
+ "# https://www.apache.org/licenses/LICENSE-2.0\n",
+ "#\n",
+ "# Unless required by applicable law or agreed to in writing, software\n",
+ "# distributed under the License is distributed on an \"AS IS\" BASIS,\n",
+ "# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
+ "# See the License for the specific language governing permissions and\n",
+ "# limitations under the License."
+ ],
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "colab_type": "text",
+ "id": "31faWJ7pCNGR"
+ },
+ "source": [
+ "# Point Clouds for tensorflow_graphics\n",
+ "
"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "Wo1bELqqRAKF",
+ "colab_type": "text"
+ },
+ "source": [
+ "## Initialization"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "YqSeyzzZQUDV",
+ "colab_type": "text"
+ },
+ "source": [
+ "\n",
+ "### Clone repositories, and install requirements and custom_op package"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "_vtvcRP3QtTl",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "# Clone repositories\n",
+ "!rm -r graphics\n",
+ "!git clone https://github.com/schellmi42/graphics\n",
+ "\n",
+ "# install requirements and load tfg module \n",
+ "!pip install -r graphics/requirements.txt\n",
+ "\n",
+ "# install custom ops\n",
+ "!pip install graphics/tensorflow_graphics/projects/point_convolutions/custom_ops/pkg_builds/tf_2.2.0/*.whl\n"
+ ],
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "9D-q8bUu7TcJ",
+ "colab_type": "text"
+ },
+ "source": [
+ "### Load modules"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "5lTxNysx7Lfz",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "import sys\n",
+ "# (this is equivalent to export PYTHONPATH='$HOME/graphics:/content/graphics:$PYTHONPATH', but adds path to running session)\n",
+ "sys.path.append(\"/content/graphics\")\n",
+ "\n",
+ "# load point cloud module \n",
+ "# (this is equivalent to export PYTHONPATH='/content/graphics/tensorflow_graphics/projects/point_convolutions:$PYTHONPATH', but adds path to running session)\n",
+ "sys.path.append(\"/content/graphics/tensorflow_graphics/projects/point_convolutions\")"
+ ],
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "-gUTDsKERxWh",
+ "colab_type": "text"
+ },
+ "source": [
+ "Check if it loads without errors"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "Z_49mMLOSOX6",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "import tensorflow as tf\n",
+ "import tensorflow_graphics as tfg\n",
+ "import pylib.pc as pc\n",
+ "import numpy as np\n",
+ "\n",
+ "print('TensorFlow version: %s'%tf.__version__)\n",
+ "print('TensorFlow-Graphics version: %s'%tfg.__version__)\n",
+ "print('Point Cloud Module: ', pc)"
+ ],
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "hH4ryCVBRH4C",
+ "colab_type": "text"
+ },
+ "source": [
+ "## Example Code\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "z0hxQN7g-UH0",
+ "colab_type": "text"
+ },
+ "source": [
+ "### 2D square point clouds using segmentation IDs\n",
+ "Here we create a batch of point clouds with variable number of points per cloud from unordered points with an additional id tensor.\n",
+ "\n",
+ "The `batch_ids` are the segmentation ids, which indicate which point belongs to which point cloud in the batch. For more information on segmentation IDs see: [tf.math#segmentation](https://www.tensorflow.org/api_docs/python/tf/math#Segmentation)\n",
+ "\n",
+ "If the points are ordered by batch id, it is also possible to pass a `sizes` tensor, which has the size of each point cloud in it."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "GWEkWPeJLoe0",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "import numpy as np\n",
+ "\n",
+ "\n",
+ "def square(num_samples, size=1):\n",
+ " # 2D square in 3D for easier visualization\n",
+ " points = np.random.rand(num_samples, 2)*2-1\n",
+ " return points*size\n",
+ "\n",
+ "num_samples=1000\n",
+ "batch_size = 10\n",
+ "\n",
+ "# create numpy input data consisting of points and segmentation identifiers\n",
+ "points = square(num_samples)\n",
+ "batch_ids = np.random.randint(0, batch_size, num_samples)\n",
+ "\n",
+ "# create tensorflow point cloud\n",
+ "point_cloud = pc.PointCloud(points, batch_ids, batch_size)\n",
+ "\n",
+ "# print information\n",
+ "sizes = point_cloud.get_sizes()\n",
+ "print('%s point clouds of sizes:'%point_cloud._batch_size)\n",
+ "print(sizes.numpy())"
+ ],
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "qStvELcmgd7R",
+ "colab_type": "text"
+ },
+ "source": [
+ "Create a batch of point hierarchies using sequential poisson disk sampling with pooling radii 0.1, 0.4, 2."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "E6A9YdQ8IAIN",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "# numpy input parameters\n",
+ "sampling_radii = np.array([[0.1], [0.4], [2]])\n",
+ "\n",
+ "# create tensorflow point hierarchy\n",
+ "point_hierarchy = pc.PointHierarchy(point_cloud,\n",
+ " sampling_radii,\n",
+ " 'poisson_disk')"
+ ],
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "NRMSzdQaInJC",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "# print information\n",
+ "num_levels = len(sampling_radii) + 1\n",
+ "print('%s point clouds of sizes:'%point_cloud._batch_size)\n",
+ "sizes = point_hierarchy.get_sizes()\n",
+ "for i in range(num_levels):\n",
+ " print('level: ' + str(i))\n",
+ " print(sizes[i].numpy())"
+ ],
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "jYnDmsPWiEqR",
+ "colab_type": "text"
+ },
+ "source": [
+ "assign a shape to the batch and look at the sizes again"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "uDNRdJayiKfv",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "point_hierarchy.set_batch_shape([2, 5])\n",
+ "print('%s point clouds of sizes:'%point_cloud._batch_size)\n",
+ "sizes = point_hierarchy.get_sizes()\n",
+ "for i in range(num_levels):\n",
+ " print('level: ' + str(i))\n",
+ " print(sizes[i].numpy())"
+ ],
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "hWlLEYXmwtmn",
+ "colab_type": "text"
+ },
+ "source": [
+ "Visualize the levels of one example from the batch."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "xq103KhWbHYE",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "import matplotlib.pyplot as plt\n",
+ "%matplotlib inline\n",
+ "\n",
+ "# which example from the batch to choose, can be 'int' or relative in [A1,...,An]\n",
+ "batch_id = [0,1]\n",
+ "\n",
+ "curr_points = point_hierarchy.get_points(batch_id)\n",
+ "\n",
+ "# plotting\n",
+ "plt.figure(figsize=[num_levels*5,5])\n",
+ "for i in range(num_levels):\n",
+ " plt.subplot(1,num_levels,i+1)\n",
+ " plt.plot(curr_points[i][:, 0],curr_points[i][:, 1],'bo')\n",
+ " plt.axis([-1, 1, -1, 1])\n",
+ " if i==0:\n",
+ " plt.title('input point cloud')\n",
+ " else:\n",
+ " plt.title('poisson sampled points with radius %s'%sampling_radii[i - 1, 0])\n",
+ " \n"
+ ],
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "naZnSGv7cnbc",
+ "colab_type": "text"
+ },
+ "source": [
+ "### 3D point clouds from input files using arbitrary batch sizes with padding\n",
+ "\n",
+ "Here we create point clouds from input files using a zero padded representation of shape `[A1, .., An, V, D]`.\n",
+ "Internally this is converted to a segmented representation.\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "88Sd7egJlsbQ",
+ "colab_type": "text"
+ },
+ "source": [
+ " #### Loading from ASCII .txt files"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "0wK7aZNVcwwf",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "import pylib.io as io\n",
+ "\n",
+ "# SHREC15\n",
+ "\n",
+ "#### get files ####\n",
+ "input_dir = 'graphics/tensorflow_graphics/projects/point_convolutions/test_point_clouds/SHREC15/'\n",
+ "filenames = tf.io.gfile.listdir(input_dir)\n",
+ "batch_size = len(filenames)\n",
+ "print('### batch size ###'); print(batch_size)\n",
+ "\n",
+ "for i in range(batch_size):\n",
+ " filenames[i] = input_dir + filenames[i]\n",
+ "\n",
+ "#### load points #####\n",
+ "batch_shape = [5,2]\n",
+ "print('### batch shape###'); print(batch_shape)\n",
+ "points, normals, sizes = io.load_batch_of_points(filenames, batch_shape = batch_shape)\n",
+ "\n",
+ "print('### data shape ###'); print(points.shape)\n",
+ "print('### points per point cloud ###');print(sizes.numpy())\n",
+ "\n",
+ "#### build point hierarchy #####\n",
+ "point_cloud = pc.PointCloud(points, sizes=sizes)\n",
+ "\n",
+ "point_hierarchy = pc.PointHierarchy(point_cloud,\n",
+ " [[0.05], [0.1]],\n",
+ " 'poisson_disk')\n",
+ "\n",
+ "sizes = point_hierarchy.get_sizes()\n",
+ "\n",
+ "print('### point per point cloud in hierarchy ###')\n",
+ "for level in range(len(sizes)):\n",
+ " print('level %s'%level)\n",
+ " print(sizes[level].numpy())\n",
+ "\n",
+ "### extract points from last level in original batch shape ###\n",
+ "hierarchical_points = point_hierarchy.get_points()\n",
+ "out_points = hierarchical_points[-1]\n",
+ "print('### shape of points in last level ###'); print(out_points.shape)"
+ ],
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "3pjPEofkgvC6",
+ "colab_type": "text"
+ },
+ "source": [
+ "#### Loading vertices from mesh files \n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "umdcLRWhgzjR",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "# Thingi10k meshes\n",
+ "\n",
+ "#### get files ####\n",
+ "input_dir = 'graphics/tensorflow_graphics/projects/point_convolutions/test_point_clouds/meshes/'\n",
+ "filenames = tf.io.gfile.listdir(input_dir)\n",
+ "batch_size = len(filenames)\n",
+ "print('### batch size ###'); print(batch_size)\n",
+ "\n",
+ "for i in range(batch_size):\n",
+ " filenames[i] = input_dir+filenames[i]\n",
+ "\n",
+ "#### load points ####\n",
+ "points, sizes = io.load_batch_of_meshes(filenames)\n",
+ "\n",
+ "print('### data shape ###'); print(points.shape)\n",
+ "print('### points per point cloud ###');print(sizes.numpy())\n",
+ "\n",
+ "#### build a point cloud object ####\n",
+ "point_cloud = pc.PointCloud(points, sizes=sizes)\n",
+ "\n",
+ "print('### internal shape conversion ###')\n",
+ "print('Input (padded): %s elements'%len(tf.reshape(points, [-1, 3])))\n",
+ "print('Internal (segmented): %s elements'%len(point_cloud._points))\n",
+ "\n",
+ "point_hierarchy = pc.PointHierarchy(point_cloud,\n",
+ " [[0.05], [0.1]],\n",
+ " 'poisson_disk')\n",
+ "\n",
+ "sizes = point_hierarchy.get_sizes()\n",
+ "\n",
+ "print('### point per point cloud in hierarchy ###')\n",
+ "for level in range(len(sizes)):\n",
+ " print('level %s'%level)\n",
+ " print(sizes[level].numpy())"
+ ],
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "AMwvIHLhnt6m",
+ "colab_type": "text"
+ },
+ "source": [
+ "### Monte-Carlo Convolutions\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "oRDxnD1in0jH",
+ "colab_type": "text"
+ },
+ "source": [
+ "Create convolutions for a point hierarchy with MLPs as kernel \n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "KuSf3jxwjVox",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "import numpy as np\n",
+ "### create random input data\n",
+ "num_pts = 1000\n",
+ "point_dim = 3\n",
+ "feature_dim = 3\n",
+ "batch_size = 10\n",
+ "\n",
+ "# create random points\n",
+ "points = np.random.rand(num_pts,point_dim)\n",
+ "batch_ids = np.random.randint(0,batch_size,num_pts)\n",
+ "batch_ids[:batch_size] = np.arange(0,batch_size) # ensure non-empty point clouds\n",
+ "# create random features\n",
+ "features = np.random.rand(num_pts,feature_dim)\n",
+ "\n",
+ "# build initial point cloud\n",
+ "point_cloud = pc.PointCloud(points, batch_ids, batch_size)\n",
+ "\n",
+ "# build point hierarchy\n",
+ "sample_radii = np.array([[0.1],[0.2],[2]])\n",
+ "point_hierarchy = pc.PointHierarchy(point_cloud,sample_radii)\n",
+ "\n",
+ "### build model\n",
+ "\n",
+ "# layer parameters\n",
+ "conv_radii = 2*sample_radii\n",
+ "feature_sizes = [8,16,32]\n",
+ "kernel_hidden_size = 8 # number of neurons in the hidden layer of the kernel MLP\n",
+ "\n",
+ "### initialize layers\n",
+ "Conv1 = pc.layers.MCConv(feature_dim, feature_sizes[0], point_dim,kernel_hidden_size)\n",
+ "Conv2 = pc.layers.MCConv(feature_sizes[0],feature_sizes[1],point_dim,kernel_hidden_size)\n",
+ "Conv3 = pc.layers.MCConv(feature_sizes[1],feature_sizes[2],point_dim,kernel_hidden_size)\n",
+ "\n",
+ "### call layers\n",
+ "conv1_result = Conv1(features,point_hierarchy[0], point_hierarchy[1],conv_radii[0])\n",
+ "conv2_result = Conv2(conv1_result,point_hierarchy[1], point_hierarchy[2],conv_radii[1])\n",
+ "conv3_result = Conv3(conv2_result,point_hierarchy[2], point_hierarchy[3],conv_radii[2], return_sorted=True)\n",
+ "\n",
+ "### printing \n",
+ "print('### point cloud sizes ###')\n",
+ "sizes = point_hierarchy.get_sizes()\n",
+ "for s in sizes:\n",
+ " print(s.numpy())\n",
+ "\n",
+ "print('\\n### features dimensions flat ###')\n",
+ "print('Input: ');print(features.shape)\n",
+ "print('Conv1: ');print(conv1_result.shape)\n",
+ "print('Conv2: ');print(conv2_result.shape)\n",
+ "print('Conv3: ');print(conv3_result.shape)\n",
+ "\n",
+ "# again in padded format\n",
+ "point_hierarchy.set_batch_shape([5,2])\n",
+ "\n",
+ "unflatten = point_hierarchy[0].get_unflatten()\n",
+ "features_padded = unflatten(features)\n",
+ "### call layers\n",
+ "conv1_result_padded = Conv1(features_padded, point_hierarchy[0], point_hierarchy[1],conv_radii[0], return_padded=True)\n",
+ "conv2_result_padded = Conv2(conv1_result_padded, point_hierarchy[1], point_hierarchy[2],conv_radii[1], return_padded=True)\n",
+ "conv3_result_padded = Conv3(conv2_result_padded, point_hierarchy[2], point_hierarchy[3],conv_radii[2], return_padded=True)\n",
+ "print('\\n### feature dimensions padded ###')\n",
+ "print('Input: ');print(features_padded.shape)\n",
+ "print('Conv1: ');print(conv1_result_padded.shape)\n",
+ "print('Conv2: ');print(conv2_result_padded.shape)\n",
+ "print('Conv3: ');print(conv3_result_padded.shape)"
+ ],
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "nUu8QpmNmosR",
+ "colab_type": "text"
+ },
+ "source": [
+ "### ResNet blocks and pooling layers"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "GPQ_skO6kGyk",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "\n",
+ "### create random input data\n",
+ "num_pts = 1000\n",
+ "point_dim = 3\n",
+ "feature_dim = 3\n",
+ "batch_size = 10\n",
+ "batch_shape = [5, 2]\n",
+ "\n",
+ "# create random points\n",
+ "points = np.random.rand(num_pts, point_dim)\n",
+ "batch_ids = np.random.randint(0, batch_size,num_pts)\n",
+ "batch_ids[:batch_size] = np.arange(0, batch_size) # ensure non-empty point clouds\n",
+ "# create random features\n",
+ "features = np.random.rand(num_pts,feature_dim)\n",
+ "\n",
+ "# build initial point cloud\n",
+ "point_cloud = pc.PointCloud(points, batch_ids, batch_size)\n",
+ "\n",
+ "# build point hierarchy\n",
+ "sample_radii = np.array([[0.1]])\n",
+ "point_hierarchy = pc.PointHierarchy(point_cloud,sample_radii)\n",
+ "\n",
+ "### build model\n",
+ "\n",
+ "# layer parameters\n",
+ "conv_radii = np.array([0.2, 0.5])\n",
+ "feature_sizes = [8]\n",
+ "num_resnet_blocks =4 # number of ResNet blocks, each block has 2 layers\n",
+ "layer_type = 'MCConv'\n",
+ "\n",
+ "### initialize layers\n",
+ "Conv = pc.layers.MCConv(feature_dim, feature_sizes[0], point_dim, kernel_hidden_size)\n",
+ "ResNet = pc.layers.PointResNet(feature_sizes[0], num_resnet_blocks, point_dim, layer_type)\n",
+ "Pool = pc.layers.GlobalMaxPooling()\n",
+ "\n",
+ "### call layers\n",
+ "conv_result = Conv(features, point_hierarchy[0], point_hierarchy[1], conv_radii[0])\n",
+ "resnet_result = ResNet(conv_result, point_hierarchy[1], conv_radii[1], training=True)\n",
+ "pool_result = Pool(resnet_result, point_hierarchy[1])\n",
+ "\n",
+ "### printing \n",
+ "print('### point cloud sizes ###')\n",
+ "sizes = point_hierarchy.get_sizes()\n",
+ "for s in sizes:\n",
+ " print(s.numpy())\n",
+ "\n",
+ "print('\\n### feature dimensions flat ###')\n",
+ "print('Input: ');print(features.shape)\n",
+ "print('Conv: ');print(conv_result.shape)\n",
+ "print('ResNet: ');print(resnet_result.shape)\n",
+ "print('GlobalPool: ');print(pool_result.shape)\n",
+ "\n",
+ "# again in padded format\n",
+ "\n",
+ "point_hierarchy.set_batch_shape(batch_shape)\n",
+ "unflatten = point_hierarchy[0].get_unflatten()\n",
+ "features_padded = unflatten(features)\n",
+ "### call layers\n",
+ "conv_result_padded = Conv1(features_padded,point_hierarchy[0], point_hierarchy[1],conv_radii[0], return_padded=True)\n",
+ "resnet_result_padded = ResNet(conv_result_padded, point_hierarchy[1], conv_radii[1], training=True, return_padded=True)\n",
+ "pool_result_padded = Pool(resnet_result_padded, point_hierarchy[1], return_padded=True)\n",
+ "print('\\n### feature dimensions padded ###')\n",
+ "print('Input: ');print(features_padded.shape)\n",
+ "print('Conv: ');print(conv_result_padded.shape)\n",
+ "print('ResNet: ');print(resnet_result_padded.shape)\n",
+ "print('GlobalPool: ');print(pool_result_padded.shape)"
+ ],
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "jtVT9mRhrBTH",
+ "colab_type": "text"
+ },
+ "source": [
+ "### Optimizations"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "fM7o2JtO4WGz",
+ "colab_type": "text"
+ },
+ "source": [
+ "#### Reuse precomputed data structure"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "SrLIU7Md67wm",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "import tensorflow as tf \n",
+ "import pylib.pc as pc\n",
+ "import numpy as np\n",
+ "# method to create a random point cloud\n",
+ "from pylib.pc.tests.utils import _create_random_point_cloud_segmented\n",
+ "\n",
+ "# module for timing\n",
+ "import time\n",
+ "\n",
+ "\n",
+ "class conv_model():\n",
+ " \"\"\" A Monte-Carlo convolutional neural network (MCCNN) without downsampling,\n",
+ " just repeated convolutions\n",
+ " \"\"\"\n",
+ " def __init__(self, num_features, depth):\n",
+ " \"\"\" Constructor.\n",
+ "\n",
+ " Args:\n",
+ " num_features: `int`, the dimensionality of the features.\n",
+ " depth: `int` the number of layers.\n",
+ " \"\"\"\n",
+ " self.depth = depth\n",
+ " self.layers = [pc.layers.PointConv(num_features_in=num_features,\n",
+ " num_features_out=num_features,\n",
+ " num_dims=3,\n",
+ " size_hidden=8)\n",
+ " for i in range(depth)]\n",
+ " \n",
+ " def __call__(self, point_cloud, features, radius, neighborhood=None):\n",
+ " \"\"\" Evaluates the network.\n",
+ "\n",
+ " Args:\n",
+ " point_cloud: A `PointCloud` instance, with N points.\n",
+ " features: A `float` tensor of shape [N,C], where C is `num_features`\n",
+ " from constructor.\n",
+ " radius: An `float`, the radius of the convolution.\n",
+ " neighborhood: A `Neighborhood` instance for `point_cloud` with cell_size radius, \n",
+ " if `None` a neighborhood is computed internally.\n",
+ "\n",
+ " Returns:\n",
+ " A tensor of shape [N,C], the result of the convolutions.\n",
+ "\n",
+ " \"\"\"\n",
+ " for layer in self.layers:\n",
+ " features = layer(features, point_cloud, point_cloud, radius=radius, neighborhood=neighborhood)\n",
+ " return features\n",
+ "\n",
+ "\n",
+ "\n",
+ "def time_networks(num_points, radius):\n",
+ " if num_points >= 1e6:\n",
+ " print('\\n### number of points %sM ###'%(num_points//1000000))\n",
+ " else:\n",
+ " print('\\n### number of points %sk ###'%(num_points//1000))\n",
+ " \n",
+ " # hyper parameters\n",
+ " batch_size = 32\n",
+ " num_features = 8\n",
+ " depth = 10\n",
+ "\n",
+ " # initialize the network \n",
+ " conv = conv_model(num_features, depth)\n",
+ "\n",
+ " # create random input\n",
+ " points, batch_ids = _create_random_point_cloud_segmented(batch_size, num_points, dimension=3)\n",
+ " features = np.random.rand(num_points, num_features)\n",
+ " point_cloud = pc.PointCloud(points, batch_ids)\n",
+ "\n",
+ " #### execute without precomupted neighborhood\n",
+ " t1 = time.time()\n",
+ " conv_result_1 = MCCNN(point_cloud, features, radius)\n",
+ " t2 = time.time()\n",
+ "\n",
+ " print('recompute neighbors: %.3fs'%(t2-t1))\n",
+ "\n",
+ " # precompute neighborhood\n",
+ " cell_sizes = [radius, radius, radius]\n",
+ " grid = pc.Grid(point_cloud, cell_sizes)\n",
+ " neighborhood = pc.Neighborhood(grid, cell_sizes)\n",
+ "\n",
+ " # execute with precomputed neighborhood\n",
+ " t1 = time.time()\n",
+ " conv_result_2 = conv(point_cloud, features, radius, neighborhood)\n",
+ " t2 = time.time()\n",
+ " print('reuse neighbors: %.3fs'%(t2-t1))\n",
+ "\n",
+ "time_networks(10000, 0.1)\n",
+ "time_networks(100000, 0.1)\n",
+ "time_networks(1000000, 0.01)\n",
+ "\n",
+ "\n"
+ ],
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "wmCB8SPdOIs3",
+ "colab_type": "text"
+ },
+ "source": [
+ "#### Transpose Neighborhoods"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "7FMdV4oH66gh",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "from pylib.pc.tests.utils import _create_random_point_cloud_segmented\n",
+ "from pylib.pc import PointCloud, Grid, Neighborhood\n",
+ "import numpy as np\n",
+ "import time\n",
+ "\n",
+ "def time_transpose_neighborhood(num_points, batch_size=8, num_reps=10):\n",
+ " if num_points >= 1e6:\n",
+ " print('\\n### number of points %sM ###'%(num_points//1000000))\n",
+ " else:\n",
+ " print('\\n### number of points %sk ###'%(num_points//1000))\n",
+ " num_poins = num_points\n",
+ " num_centers = max(num_points // 100, batch_size)\n",
+ " radius = 0.1\n",
+ " \n",
+ " nbs = []\n",
+ " point_clouds = []\n",
+ " point_clouds_centers = []\n",
+ " for i in range(num_reps):\n",
+ " points, batch_ids = _create_random_point_cloud_segmented(batch_size, num_points)\n",
+ " point_cloud = PointCloud(points, batch_ids)\n",
+ " points_centers, batch_ids_centers = _create_random_point_cloud_segmented(batch_size, num_centers)\n",
+ " point_cloud_centers = PointCloud(points_centers, batch_ids_centers)\n",
+ " grid = Grid(point_cloud, radius)\n",
+ "\n",
+ " point_clouds.append(point_cloud)\n",
+ " point_clouds_centers.append(point_cloud_centers)\n",
+ " nbs.append(Neighborhood(grid, radius, point_cloud_centers))\n",
+ "\n",
+ " t1 = time.time()\n",
+ " for i in range(num_reps):\n",
+ " grid_centers = Grid(point_clouds_centers[i], radius)\n",
+ " nb_t1 = Neighborhood(grid_centers, radius, point_clouds[i])\n",
+ " t2 = time.time()\n",
+ " t = 1000*(t2-t1)/num_reps\n",
+ " print('compute new neighborhood: %.1fms'%(t))\n",
+ "\n",
+ " t3 = time.time()\n",
+ " for i in range(num_reps):\n",
+ " nb_t2 = nbs[i].transpose()\n",
+ " t4 = time.time()\n",
+ " t = 1000*(t4-t3)/num_reps\n",
+ " print('transpose existing neighborhood: %.1fms'%(t))\n",
+ "\n",
+ "time_transpose_neighborhood(1000, num_reps=100)\n",
+ "time_transpose_neighborhood(10000, num_reps=100)\n",
+ "time_transpose_neighborhood(100000, num_reps=10)\n",
+ "time_transpose_neighborhood(1000000, num_reps=10)"
+ ],
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "vbsy9koKT8NS",
+ "colab_type": "text"
+ },
+ "source": [
+ "#### 1x1 Convolutions"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "Wi2jKASzkhkd",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "import tensorflow as tf\n",
+ "import plib.pc as pc\n",
+ "import numpy as np\n",
+ "# timing utilities\n",
+ "import time\n",
+ "# function to create a random point cloud\n",
+ "from plib.pc.tests.utils import _create_random_point_cloud_segmented\n",
+ "# custom gpu and tensorflow implementation of compute_pdf\n",
+ "from pylib.pc.layers import Conv1x1, MCConv\n",
+ "\n",
+ "\n",
+ "def time_1x1_conv(num_points,\n",
+ " batch_size,\n",
+ " num_feat,\n",
+ " radius,\n",
+ " hidden_size,\n",
+ " dimension):\n",
+ " # create random point cloud\n",
+ " points, batch_ids = _create_random_point_cloud_segmented(\n",
+ " batch_size, num_points, dimension=dimension)\n",
+ " point_cloud = pc.PointCloud(points, batch_ids)\n",
+ " features = np.random.rand(num_points, num_feat[0])\n",
+ " # build conv_layers\n",
+ " conv1x1 = Conv1x1(num_feat[0], num_feat[1])\n",
+ " mcconv = MCConv(num_feat[0], num_feat[1], dimension, hidden_size)\n",
+ " # build 1x1 neighborhood\n",
+ " cell_sizes = np.float32(np.repeat(radius, dimension))\n",
+ " grid = pc.Grid(point_cloud, cell_sizes)\n",
+ " neighborhood = pc.Neighborhood(grid, radius)\n",
+ " # is1x1 = neighborhood._neighbors.shape[0] == num_points\n",
+ " # print('\\nMCConv is 1x1: ', is1x1)\n",
+ " \n",
+ " # compute conv\n",
+ " t1 = time.time()\n",
+ " neighbors = tf.stack((tf.range(0, num_points), tf.range(0, num_points)), axis=1)\n",
+ " _ = mcconv(features, point_cloud, point_cloud, radius, neighborhood)\n",
+ " t2 = time.time()\n",
+ " _ = conv1x1(features, point_cloud)\n",
+ " t3 = time.time()\n",
+ "\n",
+ " # printing\n",
+ " if num_points >= 1e6: \n",
+ " print('num points: %sM, feature dim: %s -> %s'%(num_points//int(1e6), num_feat[0], num_feat[1]))\n",
+ " elif num_points >= 1e3:\n",
+ " print('num points: %sk, feature dim: %s -> %s'%(num_points//int(1e3), num_feat[0], num_feat[1]))\n",
+ " else:\n",
+ " print('\\nnum points: %s'%num_points)\n",
+ " \n",
+ " num_p_mc = (1 + num_feat[0]) * hidden_size + hidden_size * num_feat[0] * num_feat[1]\n",
+ " num_p_1x1 = num_feat[0] * num_feat[1]\n",
+ " print('num params: %10d, time MCCNN: %.4fs'%(num_p_mc, t2-t1))\n",
+ " print('num params: %10d, time Conv1x1: %.4fs\\n'%(num_p_1x1, t3-t2))\n",
+ "\n",
+ "\n",
+ "\n",
+ "time_1x1_conv(10000, 32, [1, 1], 1e-3, 8, 3)\n",
+ "time_1x1_conv(10000, 32, [64, 64], 1e-3, 8, 3)\n",
+ "time_1x1_conv(10000, 32, [1, 2048], 1e-3, 8, 3)\n",
+ "time_1x1_conv(10000, 32, [2048, 1], 1e-3, 8, 3)\n",
+ "time_1x1_conv(10000, 32, [2048, 2048], 1e-3, 8, 3)"
+ ],
+ "execution_count": null,
+ "outputs": []
+ }
+ ]
+}
\ No newline at end of file
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/notebooks/ModelNet40.ipynb b/tensorflow_graphics/projects/point_convolutions/pylib/notebooks/ModelNet40.ipynb
new file mode 100644
index 000000000..55ff365f6
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/notebooks/ModelNet40.ipynb
@@ -0,0 +1,763 @@
+{
+ "nbformat": 4,
+ "nbformat_minor": 0,
+ "metadata": {
+ "colab": {
+ "name": "ModelNet40_v1.ipynb",
+ "provenance": [],
+ "collapsed_sections": [],
+ "toc_visible": true
+ },
+ "kernelspec": {
+ "name": "python3",
+ "display_name": "Python 3"
+ },
+ "accelerator": "GPU"
+ },
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "-2xKG5Pgu_SX",
+ "colab_type": "text"
+ },
+ "source": [
+ "##### Copyright 2020 Google LLC."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "-RkUBOZbu3iz",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "#@title Licensed under the Apache License, Version 2.0 (the \"License\");\n",
+ "# you may not use this file except in compliance with the License.\n",
+ "# You may obtain a copy of the License at\n",
+ "#\n",
+ "# https://www.apache.org/licenses/LICENSE-2.0\n",
+ "#\n",
+ "# Unless required by applicable law or agreed to in writing, software\n",
+ "# distributed under the License is distributed on an \"AS IS\" BASIS,\n",
+ "# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
+ "# See the License for the specific language governing permissions and\n",
+ "# limitations under the License."
+ ],
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "colab_type": "text",
+ "id": "31faWJ7pCNGR"
+ },
+ "source": [
+ "# Point Clouds for tensorflow_graphics\n",
+ ""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "Wo1bELqqRAKF",
+ "colab_type": "text"
+ },
+ "source": [
+ "## Initialization"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "YqSeyzzZQUDV",
+ "colab_type": "text"
+ },
+ "source": [
+ "\n",
+ "### Clone repositories, install requirements and custom_op package"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "_vtvcRP3QtTl",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "# Clone repositories\n",
+ "!rm -r graphics\n",
+ "!git clone https://github.com/schellmi42/graphics\n",
+ "\n",
+ "# install requirements and load tfg module \n",
+ "!pip install -r graphics/requirements.txt\n",
+ "\n",
+ "# install custom ops\n",
+ "!pip install graphics/tensorflow_graphics/projects/point_convolutions/custom_ops/pkg_builds/tf_2.2.0/*.whl\n"
+ ],
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "9D-q8bUu7TcJ",
+ "colab_type": "text"
+ },
+ "source": [
+ "### Load modules"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "5lTxNysx7Lfz",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "import sys\n",
+ "# (this is equivalent to export PYTHONPATH='$HOME/graphics:/content/graphics:$PYTHONPATH', but adds path to running session)\n",
+ "sys.path.append(\"/content/graphics\")\n",
+ "\n",
+ "# load point cloud module \n",
+ "# (this is equivalent to export PYTHONPATH='/content/graphics/tensorflow_graphics/projects/point_convolutions:$PYTHONPATH', but adds path to running session)\n",
+ "sys.path.append(\"/content/graphics/tensorflow_graphics/projects/point_convolutions\")"
+ ],
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "-gUTDsKERxWh",
+ "colab_type": "text"
+ },
+ "source": [
+ "Check if it loads without errors"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "Z_49mMLOSOX6",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "import tensorflow as tf\n",
+ "import tensorflow_graphics as tfg\n",
+ "import pylib.pc as pc\n",
+ "import numpy as np\n",
+ "\n",
+ "print('TensorFlow version: %s'%tf.__version__)\n",
+ "print('TensorFlow-Graphics version: %s'%tfg.__version__)\n",
+ "print('Point Cloud Module: ', pc)"
+ ],
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "1_XXAVBau-gg",
+ "colab_type": "text"
+ },
+ "source": [
+ "## Classification on ModelNet40"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "dVQV3Ykr16m8",
+ "colab_type": "text"
+ },
+ "source": [
+ "### Data preparation"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "WIXyqlmBv5q1",
+ "colab_type": "text"
+ },
+ "source": [
+ "First we load the data consisting of 10k points per model."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "GW4GZdArv-3g",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "!wget --no-check-certificate https://shapenet.cs.stanford.edu/media/modelnet40_normal_resampled.zip \n",
+ "!echo '---unzipping---'\n",
+ "!unzip -q modelnet40_normal_resampled.zip \n",
+ "!echo '[done]'"
+ ],
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "qd2ElOdHwBnW",
+ "colab_type": "text"
+ },
+ "source": [
+ "Next we load the data, using the input function in the `io` module.\n",
+ "\n",
+ "To speed up this tutorial, we only load a subset of the points per model.\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "Bnt1Byd4sWHi",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "import tensorflow as tf \n",
+ "import pylib.pc as pc\n",
+ "import pylib.io as io\n",
+ "import numpy as np\n",
+ "import tensorflow_graphics\n",
+ "import os, time\n",
+ "\n",
+ "\n",
+ "quick_test = False # only load 100 models\n",
+ "\n",
+ "# -- loading data ---\n",
+ "\n",
+ "data_dir = 'modelnet40_normal_resampled/'\n",
+ "num_classes = 40 # modelnet 10 or 40\n",
+ "points_per_file = 5000 # number of points loaded per model\n",
+ "\n",
+ "# load category names\n",
+ "category_names = []\n",
+ "with open(data_dir + f'modelnet{num_classes}_shape_names.txt') as inFile:\n",
+ " for line in inFile:\n",
+ " category_names.append(line.replace('\\n', ''))\n",
+ "\n",
+ "# load names of training files\n",
+ "train_set = []\n",
+ "train_labels = []\n",
+ "with open(data_dir + f'modelnet{num_classes}_train.txt') as inFile:\n",
+ " for line in inFile:\n",
+ " line = line.replace('\\n', '')\n",
+ " category = line[:-5]\n",
+ " train_set.append(data_dir + category + '/' + line + '.txt')\n",
+ " if category not in category_names:\n",
+ " raise ValueError('Unknown category ' + category)\n",
+ " train_labels.append(category_names.index(category))\n",
+ "\n",
+ "# load names of test files\n",
+ "test_set = []\n",
+ "test_labels = []\n",
+ "with open(data_dir + f'modelnet{num_classes}_test.txt') as inFile:\n",
+ " for line in inFile:\n",
+ " line = line.replace('\\n', '')\n",
+ " category = line[:-5]\n",
+ " test_set.append(data_dir + category + '/' + line + '.txt')\n",
+ " if category not in category_names:\n",
+ " raise ValueError('Unknown category ' + category)\n",
+ " test_labels.append(category_names.index(category))\n",
+ "\n",
+ "# load training data\n",
+ "train_data_points = np.empty([len(train_set), points_per_file, 3])\n",
+ "\n",
+ "print(f'### loading modelnet{num_classes} train ###')\n",
+ "for i, filename in enumerate(train_set):\n",
+ " points, _ = \\\n",
+ " io.load_points_from_file_to_numpy(filename,\n",
+ " max_num_points=points_per_file)\n",
+ " train_data_points[i] = points\n",
+ " if i % 500 == 0:\n",
+ " print(f'{i}/{len(train_set)}')\n",
+ " if quick_test and i > 100:\n",
+ " break\n",
+ "\n",
+ "# load test data\n",
+ "test_data_points = np.empty([len(test_set), points_per_file, 3])\n",
+ "\n",
+ "print(f'### loading modelnet{num_classes} test ###')\n",
+ "for i, filename in enumerate(test_set):\n",
+ " points, _ = \\\n",
+ " io.load_points_from_file_to_numpy(filename,\n",
+ " max_num_points=points_per_file)\n",
+ " test_data_points[i] = points\n",
+ " if i % 500 == 0:\n",
+ " print(f'{i}/{len(test_set)}')\n",
+ " if quick_test and i > 100:\n",
+ " break"
+ ],
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "W7a1wLiPxCb3",
+ "colab_type": "text"
+ },
+ "source": [
+ "Now let's define a small data loader.\n",
+ "\n",
+ "To make the network evaluation faster, we randomly samples the point clouds to reduce the input size.\n",
+ "\n",
+ "As we don't want to provide any additional features other than the point location to the network, we will use a constant `1` as input feature.\n",
+ "\n",
+ "\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "NPJ9chpWxHNH",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "class modelnet_data_generator(tf.keras.utils.Sequence):\n",
+ " ''' Small generator of batched data.\n",
+ " '''\n",
+ " def __init__(self,\n",
+ " points,\n",
+ " labels,\n",
+ " batch_size):\n",
+ " self.points = points\n",
+ " self.labels = np.array(labels, dtype=int)\n",
+ " self.batch_size = batch_size\n",
+ " self.epoch_size = len(self.points)\n",
+ "\n",
+ " self.ids = np.arange(0, points_per_file)\n",
+ " # shuffle data before training\n",
+ " self.on_epoch_end()\n",
+ "\n",
+ " def __len__(self):\n",
+ " # number of batches per epoch\n",
+ " return(int(np.floor(self.epoch_size / self.batch_size)))\n",
+ "\n",
+ " def __call__(self):\n",
+ " ''' Loads batch and increases batch index.\n",
+ " '''\n",
+ " data = self.__getitem__(self.index)\n",
+ " self.index += 1\n",
+ " return data\n",
+ "\n",
+ " def __getitem__(self, index, samples_per_model=1024):\n",
+ " ''' Loads data of current batch and samples random subset of the points.\n",
+ " '''\n",
+ " labels = \\\n",
+ " self.labels[index * self.batch_size:(index + 1) * self.batch_size]\n",
+ " points = \\\n",
+ " self.points[index * self.batch_size:(index + 1) * self.batch_size]\n",
+ " # constant input feature\n",
+ " features = tf.ones([self.batch_size, samples_per_model, 1])\n",
+ "\n",
+ " # sample points\n",
+ " sampled_points = np.empty([self.batch_size, samples_per_model, 3])\n",
+ " for batch in range(self.batch_size):\n",
+ " selection = np.random.choice(self.ids, samples_per_model)\n",
+ " sampled_points[batch] = points[batch][selection]\n",
+ "\n",
+ " return sampled_points, features, labels\n",
+ "\n",
+ " def on_epoch_end(self):\n",
+ " ''' Shuffles data and resets batch index.\n",
+ " '''\n",
+ " shuffle = np.random.permutation(np.arange(0, len(self.points)))\n",
+ " self.points = self.points[shuffle]\n",
+ " self.labels = self.labels[shuffle]\n",
+ " self.index = 0"
+ ],
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "txT-ddp_wTd0",
+ "colab_type": "text"
+ },
+ "source": [
+ "### Network architecture\n",
+ "\n",
+ "Let's build a simple classification network, which uses point convolutions for encoding the shape, and two dense layers for predicting the class.\n",
+ "\n",
+ "The following model contains example calls for the three different available point convolutions in the `layer` module:\n",
+ "\n",
+ "\n",
+ "* [Monte-Carlo convolutions](https://www.uni-ulm.de/fileadmin/website_uni_ulm/iui.inst.100/institut/Papers/viscom/2018/hermosilla2018montecarlo.pdf), which uses MLPs for representing the convolutional kernel, and aggregates the features inside the convolution radius using [Monte-Carlo integration](https://en.wikipedia.org/wiki/Monte_Carlo_integration), where each feature is weighted by a point density estimation.\n",
+ "* [Kernel Point convolutions](https://arxiv.org/pdf/1904.08889.pdf), where the convolutional kernel is represented by a set of weights on kernel points, which are interpolated. \n",
+ "(Note: We use rigid kernel points in the example below but deformable kernel points are also supported)\n",
+ "\n",
+ "* [PointConv convolutions](https://openaccess.thecvf.com/content_CVPR_2019/papers/Wu_PointConv_Deep_Convolutional_Networks_on_3D_Point_Clouds_CVPR_2019_paper.pdf)\n",
+ ", which uses a single MLP for representing the convolutional kernel, and aggregates the features using an integration, where each feature is weighted by a learned inverse density estimation.\n",
+ "\n",
+ "\n",
+ "Note that different to an image convolution layer, a point convolution layer needs additional input about the spatial location of the features, i.e. point coordinates.\n",
+ "In case of a 'strided' point convolution, where the output features are defined on different points than the input, we have to provide two point clouds.\n",
+ "\n",
+ "For sampling the point clouds to lower densities, we use the `PointHierarchy` class.\n",
+ "\n",
+ "At the end of the encoder we use a `GlobalAveragePooling` layer to aggregate the features from all points into one latent vector. "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "sGC3q1drt60i",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "from pylib.pc import layers\n",
+ "\n",
+ "class mymodel(tf.keras.Model):\n",
+ " ''' Model architecture with `L` convolutional layers followed by \n",
+ " two dense layers.\n",
+ "\n",
+ " Args:\n",
+ " features_sizes: A `list` of `ints`, the feature dimensions. Shape `[L+3]`.\n",
+ " sample_radii: A `list` of `floats, the radii used for sampling\n",
+ " of the point clouds. Shape `[L]`.\n",
+ " conv_radii: A `list` of `floats`, the radii used by the convolution\n",
+ " layers. Shape `[L]`.\n",
+ " layer_type: A `string`, the type of convolution used,\n",
+ " can be 'MCConv', 'KPConv', 'PointConv'.\n",
+ " sampling_method: 'poisson disk' or 'cell average'.\n",
+ " '''\n",
+ "\n",
+ " def __init__(self,\n",
+ " feature_sizes,\n",
+ " sample_radii,\n",
+ " conv_radii,\n",
+ " layer_type='MCConv',\n",
+ " sampling_method='poisson disk'):\n",
+ " super(mymodel, self).__init__()\n",
+ " self.num_layers = len(sample_radii)\n",
+ " self.sample_radii = sample_radii.reshape(-1,1)\n",
+ " self.conv_radii = conv_radii\n",
+ " self.sampling_method = sampling_method\n",
+ " self.conv_layers = []\n",
+ " self.batch_layers = []\n",
+ " self.dense_layers = []\n",
+ " self.activations = []\n",
+ " # encoder\n",
+ " for i in range(self.num_layers):\n",
+ " # convolutional downsampling layers\n",
+ " if layer_type == 'MCConv':\n",
+ " self.conv_layers.append(layers.MCConv(\n",
+ " num_features_in=feature_sizes[i],\n",
+ " num_features_out=feature_sizes[i + 1],\n",
+ " num_dims=3,\n",
+ " num_mlps=4,\n",
+ " mlp_size=[8]))\n",
+ " elif layer_type == 'PointConv':\n",
+ " self.conv_layers.append(layers.PointConv(\n",
+ " num_features_in=feature_sizes[i],\n",
+ " num_features_out=feature_sizes[i + 1],\n",
+ " num_dims=3,\n",
+ " size_hidden=32))\n",
+ " elif layer_type == 'KPConv':\n",
+ " self.conv_layers.append(layers.KPConv(\n",
+ " num_features_in=feature_sizes[i],\n",
+ " num_features_out=feature_sizes[i + 1],\n",
+ " num_dims=3,\n",
+ " num_kernel_points=15))\n",
+ " else:\n",
+ " raise ValueError(\"Unknown layer type!\")\n",
+ " if i < self.num_layers-1:\n",
+ " # batch normalization and activation function\n",
+ " self.batch_layers.append(tf.keras.layers.BatchNormalization())\n",
+ " self.activations.append(tf.keras.layers.LeakyReLU())\n",
+ " # global pooling\n",
+ " self.global_pooling = layers.GlobalAveragePooling()\n",
+ " self.batch_layers.append(tf.keras.layers.BatchNormalization())\n",
+ " self.activations.append(tf.keras.layers.LeakyReLU())\n",
+ " # MLP\n",
+ " self.dense_layers.append(tf.keras.layers.Dense(feature_sizes[-2]))\n",
+ " self.batch_layers.append(tf.keras.layers.BatchNormalization())\n",
+ " self.activations.append(tf.keras.layers.LeakyReLU())\n",
+ " self.dense_layers.append(tf.keras.layers.Dense(feature_sizes[-1]))\n",
+ "\n",
+ " def __call__(self,\n",
+ " points,\n",
+ " features,\n",
+ " training):\n",
+ " ''' Evaluates network.\n",
+ "\n",
+ " Args:\n",
+ " points: The point coordinates. Shape `[B, N, 3]`.\n",
+ " features: Input features. Shape `[B, N, C]`.\n",
+ " training: A `bool`, passed to the batch norm layers.\n",
+ "\n",
+ " Returns:\n",
+ " The logits per class.\n",
+ " '''\n",
+ " sample_radii = self.sample_radii\n",
+ " conv_radii = self.conv_radii\n",
+ " sampling_method = self.sampling_method\n",
+ " # input point cloud\n",
+ " # Note: Here all point clouds have the same number of points, so no `sizes`\n",
+ " # or `batch_ids` are passed.\n",
+ " point_cloud = pc.PointCloud(points)\n",
+ " # spatial downsampling\n",
+ " point_hierarchy = pc.PointHierarchy(point_cloud,\n",
+ " sample_radii,\n",
+ " sampling_method)\n",
+ " # network evaluation\n",
+ " for i in range(self.num_layers):\n",
+ " features = self.conv_layers[i](features,\n",
+ " point_hierarchy[i], \n",
+ " point_hierarchy[i+1],\n",
+ " conv_radii[i])\n",
+ " if i < self.num_layers-1:\n",
+ " features = self.batch_layers[i](features, training=training)\n",
+ " features = self.activations[i](features)\n",
+ " # classification head\n",
+ " features = self.global_pooling(features, point_hierarchy[-1])\n",
+ " features = self.batch_layers[-2](features, training)\n",
+ " features = self.activations[-2](features)\n",
+ " features = self.dense_layers[-2](features)\n",
+ " features = self.batch_layers[-1](features, training)\n",
+ " features = self.activations[-1](features)\n",
+ " return self.dense_layers[-1](features)\n"
+ ],
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "WureY8ZixvlG",
+ "colab_type": "text"
+ },
+ "source": [
+ "### Model parameters"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "U0pnDkbZxpxP",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "batch_size = 16\n",
+ "\n",
+ "feature_sizes = [1, 128, 256, 512, 128, num_classes]\n",
+ "sample_radii = np.array([0.1, 0.2, 0.4])\n",
+ "conv_radii = sample_radii * 1.5\n",
+ "\n",
+ "# initialize data generators\n",
+ "gen_train = modelnet_data_generator(train_data_points, train_labels, batch_size)\n",
+ "gen_test = modelnet_data_generator(test_data_points, test_labels, batch_size)\n",
+ "\n",
+ "# loss function and optimizer\n",
+ "loss_function = tf.keras.losses.SparseCategoricalCrossentropy()\n",
+ "\n",
+ "lr_decay=tf.keras.optimizers.schedules.ExponentialDecay(initial_learning_rate=0.01,\n",
+ " decay_steps=len(gen_train),\n",
+ " decay_rate=0.95)\n",
+ "optimizer = tf.keras.optimizers.Adam(learning_rate=lr_decay)"
+ ],
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "AJjR2m9Fx68-",
+ "colab_type": "text"
+ },
+ "source": [
+ "### Training Loop"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "AzolzewtyDcU",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "def training(model,\n",
+ " optimizer,\n",
+ " loss_function,\n",
+ " num_epochs = 10,\n",
+ " epochs_print=1):\n",
+ " train_loss_results = []\n",
+ " train_accuracy_results = []\n",
+ " test_loss_results = []\n",
+ " test_accuracy_results = []\n",
+ "\n",
+ " for epoch in range(num_epochs):\n",
+ " time_epoch_start = time.time()\n",
+ "\n",
+ " # --- Training ---\n",
+ " epoch_loss_avg = tf.keras.metrics.Mean()\n",
+ " epoch_accuracy = tf.keras.metrics.SparseCategoricalAccuracy()\n",
+ "\n",
+ " for points, features, labels in gen_train:\n",
+ " # evaluate model; forward pass\n",
+ " with tf.GradientTape() as tape:\n",
+ " logits = model(points, features, training=True)\n",
+ " pred = tf.nn.softmax(logits, axis=-1)\n",
+ " loss = loss_function(y_true=labels, y_pred=pred)\n",
+ " # backpropagation\n",
+ " grads = tape.gradient(loss, model.trainable_variables)\n",
+ " optimizer.apply_gradients(zip(grads, model.trainable_variables))\n",
+ "\n",
+ " epoch_loss_avg.update_state(loss)\n",
+ " epoch_accuracy.update_state(labels, pred)\n",
+ "\n",
+ " train_loss_results.append(epoch_loss_avg.result())\n",
+ " train_accuracy_results.append(epoch_accuracy.result())\n",
+ "\n",
+ " # --- Validation ---\n",
+ " epoch_loss_avg = tf.keras.metrics.Mean()\n",
+ " epoch_accuracy = tf.keras.metrics.SparseCategoricalAccuracy()\n",
+ "\n",
+ " for points, features, labels in gen_test:\n",
+ " # evaluate model; forward pass\n",
+ " logits = model(points, features, training=False)\n",
+ " pred = tf.nn.softmax(logits, axis=-1)\n",
+ " loss = loss_function(y_true=labels, y_pred=pred)\n",
+ "\n",
+ " epoch_loss_avg.update_state(loss)\n",
+ " epoch_accuracy.update_state(labels, pred)\n",
+ "\n",
+ " test_loss_results.append(epoch_loss_avg.result())\n",
+ " test_accuracy_results.append(epoch_accuracy.result())\n",
+ "\n",
+ " time_epoch_end = time.time()\n",
+ "\n",
+ " if epoch % epochs_print == 0:\n",
+ " # End epoch\n",
+ " print('Epoch {:03d} Time: {:.3f}s'.format(\n",
+ " epoch,\n",
+ " time_epoch_end - time_epoch_start))\n",
+ " print('Training: Loss: {:.3f}, Accuracy: {:.3%}'.format(\n",
+ " train_loss_results[-1],\n",
+ " train_accuracy_results[-1]))\n",
+ " print('Validation: Loss: {:.3f}, Accuracy: {:.3%}'.format(\n",
+ " test_loss_results[-1],\n",
+ " test_accuracy_results[-1]))"
+ ],
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "CIALtH8TzagI",
+ "colab_type": "text"
+ },
+ "source": [
+ "#### Train with [Monte-Carlo convolutions](https://www.uni-ulm.de/fileadmin/website_uni_ulm/iui.inst.100/institut/Papers/viscom/2018/hermosilla2018montecarlo.pdf)."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "colab_type": "code",
+ "id": "e-jbnyGaCrfE",
+ "colab": {}
+ },
+ "source": [
+ "model_MC = mymodel(feature_sizes, sample_radii, conv_radii,\n",
+ " layer_type='MCConv')\n",
+ "training(model_MC, optimizer, loss_function)"
+ ],
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "zY-6sJnRzXvl",
+ "colab_type": "text"
+ },
+ "source": [
+ "#### Train with [Kernel Point convolutions](https://arxiv.org/pdf/1904.08889.pdf).\n",
+ "\n",
+ "To use the cell average sampling used in the paper, we can simply change the sampling method, which is passed to the point hierarchy constructor."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "n03SZUTgzYoc",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "model_KP = mymodel(feature_sizes, sample_radii, conv_radii,\n",
+ " layer_type='KPConv', sampling_method='cell average')\n",
+ "training(model_KP, optimizer, loss_function)"
+ ],
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "ak7hMQeWzZZq",
+ "colab_type": "text"
+ },
+ "source": [
+ "#### Train with [PointConv convolutions](https://openaccess.thecvf.com/content_CVPR_2019/papers/Wu_PointConv_Deep_Convolutional_Networks_on_3D_Point_Clouds_CVPR_2019_paper.pdf)."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "wj9T-UaCzZ4z",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "model_PC = mymodel(feature_sizes, sample_radii, conv_radii,\n",
+ " layer_type='PointConv')\n",
+ "training(model_PC, optimizer, loss_function)"
+ ],
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "njP1uIRCjXJT",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ ""
+ ],
+ "execution_count": null,
+ "outputs": []
+ }
+ ]
+}
\ No newline at end of file
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/Grid.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/Grid.py
new file mode 100755
index 000000000..5fc8565f6
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/Grid.py
@@ -0,0 +1,84 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+import tensorflow as tf
+
+from pylib.pc.custom_ops import compute_keys, build_grid_ds
+from pylib.pc import PointCloud, AABB
+
+
+class Grid:
+ """ 2D regular grid of a point cloud.
+
+ Args:
+ point_cloud : A `PointCloud` instance to distribute in the grid.
+ cell_sizes A `float` `Tensor` of shape `[D]`, the sizes of the grid
+ cells in each dimension.
+ aabb: An `AABB` instance, the bounding box of the grid, if `None`
+ the bounding box of `point_cloud` is used. (optional)
+
+ """
+
+ def __init__(self, point_cloud: PointCloud, cell_sizes, aabb=None,
+ name=None):
+ cell_sizes = tf.cast(tf.convert_to_tensor(value=cell_sizes),
+ tf.float32)
+ if cell_sizes.shape == [] or cell_sizes.shape[0] == 1:
+ cell_sizes = tf.repeat(cell_sizes, point_cloud._dimension)
+ #Save the attributes.
+ self._batch_size = point_cloud._batch_size_numpy
+ self._cell_sizes = cell_sizes
+ self._point_cloud = point_cloud
+ self._aabb = point_cloud.get_AABB()
+ #Compute the number of cells in the grid.
+ aabb_sizes = self._aabb._aabb_max - self._aabb._aabb_min
+ batch_num_cells = tf.cast(
+ tf.math.ceil(aabb_sizes / self._cell_sizes), tf.int32)
+ self._num_cells = tf.maximum(
+ tf.reduce_max(batch_num_cells, axis=0), 1)
+
+ #Compute the key for each point.
+ self._cur_keys = compute_keys(
+ self._point_cloud, self._num_cells,
+ self._cell_sizes)
+
+ #Sort the keys.
+ self._sorted_indices = tf.argsort(
+ self._cur_keys, direction='DESCENDING')
+ self._sorted_keys = tf.gather(self._cur_keys, self._sorted_indices)
+
+ #Get the sorted points and batch ids.
+ self._sorted_points = tf.gather(
+ self._point_cloud._points, self._sorted_indices)
+ self._sorted_batch_ids = tf.gather(
+ self._point_cloud._batch_ids, self._sorted_indices)
+
+ self._fast_DS = None
+
+ def get_DS(self):
+ """ Method to get the 2D-Grid datastructure.
+
+ Note: By default the data structure is not build on initialization,
+ but with this method
+
+ Returns:
+ A `int` `Tensor` of shape `[num_cells[0], num_cells[1], 2]`, where
+ `[i,j,0]:[i,j,1]` is the range of points in cell `i,j`.
+ The indices are with respect to the sorted points of the grid.
+
+ """
+ if self._fast_DS is None:
+ #Build the fast access data structure.
+ self._fast_DS = build_grid_ds(
+ self._sorted_keys, self._num_cells, self._batch_size)
+ return self._fast_DS
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/Neighborhood.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/Neighborhood.py
new file mode 100755
index 000000000..75276ce63
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/Neighborhood.py
@@ -0,0 +1,177 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+"""Class to represent a neighborhood of points.
+
+Note:
+ In the following `D` is the spatial dimensionality of the points,
+ `N` is the number of (samples) points, and `M` is the total number of
+ adjacencies.
+
+Attributes:
+ _point_cloud_sampled: 'PointCloud', samples point cloud.
+ _grid : 'Grid', regular grid data structure.
+ _radii: `float` `Tensor` of shape [D], radius used to select the neighbors.
+ _samples_neigh_ranges: `int` `Tensor` of shape `[N]`, end of the ranges per
+ sample.
+ _neighbors: `int` `Tensor` of shape `[M,2]`, indices of the neighbor point,
+ with respect to the sorted point in the grid, and the sample for each
+ neighbor.
+ _original_neigh_ids: `int` `Tensor` of shape `[M,2]`, indices of the
+ neighbor point, with respect to the points in the input point cloud,
+ and the sample for each neighbor.
+ _pdf: `float` `Tensor` of shape `[M]`, PDF value for each neighbor.
+"""
+
+import enum
+import tensorflow as tf
+
+from pylib.pc import PointCloud
+from pylib.pc import Grid
+from pylib.pc.custom_ops import find_neighbors, compute_pdf
+from pylib.pc.utils import cast_to_num_dims
+
+
+class KDEMode(enum.Enum):
+ """ Parameters for kernel density estimation (KDE) """
+ constant = 0
+ num_points = 1
+ no_pdf = 2
+
+
+class Neighborhood:
+ """ Neighborhood of a point cloud.
+
+ Args:
+ grid: A 'Grid' instance, the regular grid data structure.
+ radius: A `float` `Tensor` of shape `[D]`, the radius used to select the
+ neighbors.
+ point_cloud_sample: A 'PointCloud' instance. Samples point cloud.
+ If None, the sorted points from the grid will be used.
+ max_neighbors: An `int`, maximum number of neighbors per sample,
+ if `0` all neighbors are selected.
+
+ """
+
+ def __init__(self,
+ grid: Grid,
+ radius,
+ point_cloud_sample=None,
+ max_neighbors=0,
+ name=None):
+ radii = tf.reshape(tf.cast(tf.convert_to_tensor(value=radius),
+ tf.float32), [-1])
+ if radii.shape[0] == 1:
+ radii = tf.repeat(radius, grid._point_cloud._dimension)
+ #Save the attributes.
+ if point_cloud_sample is None:
+ self._equal_samples = True
+ self._point_cloud_sampled = PointCloud(
+ grid._sorted_points, grid._sorted_batch_ids,
+ grid._batch_size)
+ else:
+ self._equal_samples = False
+ self._point_cloud_sampled = point_cloud_sample
+ self._grid = grid
+ self._radii = radii
+ self.max_neighbors = max_neighbors
+
+ #Find the neighbors.
+ self._samples_neigh_ranges, self._neighbors = find_neighbors(
+ self._grid, self._point_cloud_sampled, self._radii, max_neighbors)
+
+ #Original neighIds.
+ aux_original_neigh_ids = tf.gather(
+ self._grid._sorted_indices, self._neighbors[:, 0])
+ self._original_neigh_ids = tf.concat([
+ tf.reshape(aux_original_neigh_ids, [-1, 1]),
+ tf.reshape(self._neighbors[:, 1], [-1, 1])], axis=-1)
+
+ #Initialize the pdf
+ self._pdf = None
+
+ self._transposed = None
+
+ def compute_pdf(self,
+ bandwidth=0.2,
+ mode=KDEMode.constant,
+ normalize=False,
+ name=None):
+ """Method to compute the probability density function of the neighborhoods.
+
+ Note: By default the returned densitity is not normalized.
+
+ Args:
+ bandwidth: A `float` `Tensor` of shape `[D]`, bandwidth used to compute
+ the pdf. (optional)
+ mode: 'KDEMode', mode used to determine the bandwidth. (optional)
+ normalize: A `bool`, if `True` each value is divided by be size of the
+ respective neighborhood. (optional)
+
+ """
+ bandwidth = cast_to_num_dims(
+ bandwidth, self._point_cloud_sampled._dimension)
+
+ if mode == KDEMode.no_pdf:
+ self._pdf = tf.ones_like(
+ self._neighbors[:, 0], dtype=tf.float32)
+ else:
+ if self._equal_samples:
+ pdf_neighbors = self
+ else:
+ pdf_neighbors = Neighborhood(self._grid, self._radii, None)
+ _pdf = compute_pdf(
+ pdf_neighbors, bandwidth, mode.value)
+ self._pdf = tf.gather(_pdf, self._neighbors[:, 0])
+ if normalize:
+ norm_factors = tf.math.unsorted_segment_sum(
+ tf.ones_like(self._pdf),
+ self._neighbors[:, 1],
+ self._point_cloud_sampled._points.shape[0])
+ self._pdf = self._pdf / tf.gather(norm_factors, self._neighbors[:, 1])
+
+ def get_pdf(self, **kwargs):
+ """ Method which returns the pdfs of the neighborhoods.
+
+ If no pdf was computed before, it will compute one using the provided
+ arguments.
+
+ Args:
+ **kwargs: if no pdf is available, these arguments will be passed to
+ `compute_pdf`.(optional)
+
+ Returns:
+ A `float` `Tensor` of shape `[M]`, the estimated densities.
+
+ """
+ if self._pdf is None:
+ self.compute_pdf(**kwargs)
+ return self._pdf
+
+ def get_grid(self):
+ """ Returns the grid used for neighborhood computation.
+ """
+ return self._grid
+
+ def transpose(self):
+ """ Returns the transposed neighborhood where center and neighbor points
+ are switched. (faster than recomputing)
+ """
+ if self._transposed is None:
+ if self._equal_samples:
+ self._transposed = self
+ else:
+ grid = Grid(self._point_cloud_sampled, self._radii)
+ self._transposed = Neighborhood(
+ grid, self._radii, self._grid._point_cloud)
+ return self._transposed
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/PointCloud.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/PointCloud.py
new file mode 100755
index 000000000..e08cf279a
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/PointCloud.py
@@ -0,0 +1,281 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+"""Class to represent a point cloud."""
+
+import tensorflow as tf
+from tensorflow_graphics.geometry.convolution.utils import \
+ flatten_batch_to_2d, unflatten_2d_to_batch
+
+from pylib.pc.utils import check_valid_point_cloud_input
+
+
+class _AABB:
+ """Axis aligned bounding box of a point cloud.
+
+ Args:
+ Pointcloud: A 'PointCloud' instance from which to compute the
+ axis aligned bounding box.
+
+ """
+
+ def __init__(self, point_cloud, name=None):
+
+ self._batch_size = point_cloud._batch_size
+ self._batch_shape = point_cloud._batch_shape
+ self.point_cloud_ = point_cloud
+
+ self._aabb_min = tf.math.unsorted_segment_min(
+ data=point_cloud._points, segment_ids=point_cloud._batch_ids,
+ num_segments=self._batch_size) - 1e-9
+ self._aabb_max = tf.math.unsorted_segment_max(
+ data=point_cloud._points, segment_ids=point_cloud._batch_ids,
+ num_segments=self._batch_size) + 1e-9
+
+ def get_diameter(self, ord='euclidean', name=None):
+ """ Returns the diameter of the bounding box.
+
+ Note:
+ In the following, A1 to An are optional batch dimensions.
+
+ Args:
+ ord: Order of the norm. Supported values are `'euclidean'`,
+ `1`, `2`, `np.inf` and any positive real number yielding the
+ corresponding p-norm. Default is `'euclidean'`. (optional)
+ Return:
+ diam: A `float` 'Tensor' of shape `[A1, ..., An]`, diameters of the
+ bounding boxes
+
+ """
+
+ diam = tf.linalg.norm(self._aabb_max - self._aabb_min, ord=ord, axis=-1)
+ if self._batch_shape is None:
+ return diam
+ else:
+ return tf.reshape(diam, self._batch_shape)
+
+
+class PointCloud:
+ """ Class to represent point clouds.
+
+ Note:
+ In the following, A1 to An are optional batch dimensions.
+
+ Args:
+ points: A float `Tensor` either of shape `[N, D]` or of shape
+ `[A1, .., An, V, D]`, possibly padded as indicated by `sizes`.
+ Represents the point coordinates.
+ batch_ids: An `int` `Tensor` of shape `[N]` associated with the points.
+ Is required if `points` is of shape `[N, D]`.
+ sizes: An `int` `Tensor` of shape `[A1, ..., An]` indicating the
+ true input sizes in case of padding (`sizes=None` indicates no padding)
+ Note that `sizes[A1, ..., An] <= V` or `sum(sizes) == N`.
+ batch_size: An `int`, the size of the batch.
+ """
+
+ def __init__(self,
+ points,
+ batch_ids=None,
+ batch_size=None,
+ sizes=None,
+ name=None):
+ points = tf.convert_to_tensor(value=points, dtype=tf.float32)
+ if sizes is not None:
+ sizes = tf.convert_to_tensor(value=sizes, dtype=tf.int32)
+ if batch_ids is not None:
+ batch_ids = tf.convert_to_tensor(value=batch_ids, dtype=tf.int32)
+ if batch_size is not None:
+ self._batch_size = tf.convert_to_tensor(value=batch_size, dtype=tf.int32)
+ else:
+ self._batch_size = None
+
+ check_valid_point_cloud_input(points, sizes, batch_ids)
+
+ self._sizes = sizes
+ # compatibility batch size as CPU int for graph mode
+ self._batch_size_numpy = batch_size
+ self._batch_ids = batch_ids
+ self._dimension = tf.gather(tf.shape(points), tf.rank(points) - 1)
+ self._batch_shape = None
+ self._unflatten = None
+ self._aabb = None
+
+ if points.shape.ndims > 2:
+ self._init_from_padded(points)
+ else:
+ self._init_from_segmented(points)
+
+ if self._batch_size_numpy is None:
+ self._batch_size_numpy = self._batch_size
+
+ #Sort the points based on the batch ids in incremental order.
+ self._sorted_indices_batch = tf.argsort(self._batch_ids)
+
+ def _init_from_padded(self, points):
+ """converting padded `Tensor` of shape `[A1, ..., An, V, D]` into a 2D
+ `Tensor` of shape `[N,D]` with segmentation ids.
+ """
+ self._batch_shape = tf.shape(points)[:-2]
+ if self._batch_size is None:
+ self._batch_size = tf.reduce_prod(self._batch_shape)
+ if self._sizes is None:
+ self._sizes = tf.constant(
+ value=tf.shape(points)[-2], shape=self._batch_shape)
+ self._get_segment_id = tf.reshape(
+ tf.range(0, self._batch_size), self._batch_shape)
+ self._points, self._unflatten = flatten_batch_to_2d(points, self._sizes)
+ self._batch_ids = tf.repeat(
+ tf.range(0, self._batch_size),
+ repeats=tf.reshape(self._sizes, [-1]))
+
+ def _init_from_segmented(self, points):
+ """if input is already 2D `Tensor` with segmentation ids or given sizes.
+ """
+ if self._batch_ids is None:
+ if self._batch_size is None:
+ self._batch_size = tf.reduce_prod(self._sizes.shape)
+ self._batch_ids = tf.repeat(tf.range(0, self._batch_size), self._sizes)
+ if self._batch_size is None:
+ self._batch_size = tf.reduce_max(self._batch_ids) + 1
+ self._points = points
+
+ def get_points(self, id=None, max_num_points=None, name=None):
+ """ Returns the points.
+
+ Note:
+ In the following, A1 to An are optional batch dimensions.
+
+ If called withoud specifying 'id' returns the points in padded format
+ `[A1, ..., An, V, D]`
+
+ Args:
+ id: An `int`, index of point cloud in the batch, if `None` returns all
+ max_num_points: An `int`, specifies the 'V' dimension the method returns,
+ by default uses maximum of 'sizes'. `max_rows >= max(sizes)`
+
+ Return:
+ A `float` `Tensor`
+ of shape `[Ni, D]`, if 'id' was given
+ or
+ of shape `[A1, ..., An, V, D]`, zero padded, if no `id` was given.
+
+ """
+ if id is not None:
+ if not isinstance(id, int):
+ slice = self._get_segment_id
+ for slice_id in id:
+ slice = slice[slice_id]
+ id = slice
+ if id > self._batch_size:
+ raise IndexError('batch index out of range')
+ return self._points[self._batch_ids == id]
+ else:
+ return self.get_unflatten(max_num_points=max_num_points)(self._points)
+
+ def get_sizes(self, name=None):
+ """ Returns the sizes of the point clouds in the batch.
+
+ Note:
+ In the following, A1 to An are optional batch dimensions.
+ Use this instead of accessing 'self._sizes',
+ if the class was constructed using segmented input the '_sizes' is
+ created in this method.
+
+ Returns:
+ `Tensor` of shape `[A1, .., An]`.
+
+ """
+ if self._sizes is None:
+ _ids, _, self._sizes = tf.unique_with_counts(
+ self._batch_ids)
+ _ids_sorted = tf.argsort(_ids)
+ self._sizes = tf.gather(self._sizes, _ids_sorted)
+ if self._batch_shape is not None:
+ self._sizes = tf.reshape(self._sizes, self._batch_shape)
+ return self._sizes
+
+ def get_unflatten(self, max_num_points=None, name=None):
+ """ Returns the method to unflatten the segmented points.
+
+ Use this instead of accessing 'self._unflatten',
+ if the class was constructed using segmented input the '_unflatten' method
+ is created in this method.
+
+ Note:
+ In the following, A1 to An are optional batch dimensions.
+
+ Args:
+ max_num_points: An `int`, specifies the 'V' dimension the method returns,
+ by default uses maximum of 'sizes'. `max_rows >= max(sizes)`
+ Returns:
+ A method to unflatten the segmented points, which returns a `Tensor` of
+ shape `[A1,...,An,V,D]`, zero padded.
+
+ Raises:
+ ValueError: When trying to unflatten unsorted points.
+
+ """
+ if self._unflatten is None:
+ self._unflatten = lambda data: unflatten_2d_to_batch(
+ data=tf.gather(data, self._sorted_indices_batch),
+ sizes=self.get_sizes(),
+ max_rows=max_num_points)
+ return self._unflatten
+
+ def get_AABB(self) -> _AABB:
+ """ Returns the axis aligned bounding box of the point cloud.
+
+ Use this instead of accessing `self._aabb`, as the bounding box
+ is initialized with tthe first call of his method.
+
+ Returns:
+ A `AABB` instance
+
+ """
+ if self._aabb is None:
+ self._aabb = _AABB(point_cloud=self)
+ return self._aabb
+
+ def set_batch_shape(self, batch_shape, name=None):
+ """ Function to change the batch shape
+
+ Use this to set a batch shape instead of using 'self._batch_shape' to
+ also change dependent variables.
+
+ Note:
+ In the following, A1 to An are optional batch dimensions.
+
+ Args:
+ batch_shape: A 1D `int` `Tensor` `[A1,...,An]`.
+
+ Raises:
+ ValueError: if shape does not sum up to batch size.
+
+ """
+ if batch_shape is not None:
+ batch_shape = tf.convert_to_tensor(value=batch_shape, dtype=tf.int32)
+ tf.assert_equal(
+ tf.reduce_prod(batch_shape), self._batch_size,
+ f'Incompatible batch size. Must be {self._batch_size} \
+ but is {tf.reduce_prod(batch_shape)}')
+ # if tf.reduce_prod(batch_shape) != self._batch_size:
+ # raise ValueError(
+ # f'Incompatible batch size. Must be {self._batch_size} \
+ # but is {tf.reduce_prod(batch_shape)}')
+ self._batch_shape = batch_shape
+ self._get_segment_id = tf.reshape(
+ tf.range(0, self._batch_size), self._batch_shape)
+ if self._sizes is not None:
+ self._sizes = tf.reshape(self._sizes, self._batch_shape)
+ else:
+ self._batch_shape = None
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/PointHierarchy.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/PointHierarchy.py
new file mode 100755
index 000000000..0e1d90631
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/PointHierarchy.py
@@ -0,0 +1,187 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+"""Class to represent a point cloud hierarchy."""
+
+import numpy as np
+import tensorflow as tf
+
+
+from pylib.pc import PointCloud
+from pylib.pc import Grid
+from pylib.pc import Neighborhood
+from pylib.pc import sample
+from pylib.pc.utils import cast_to_num_dims
+
+
+class PointHierarchy:
+ """ A hierarchy of sampled point clouds.
+
+ Args:
+ point_cloud: A `PointCloud` instance..
+ cell_sizes: A list of `floats` or `float` `Tensors` of shape `[D]`,
+ the cell sizes for the sampling. The length of the list defines
+ the number of samplings.
+ sample_mode: A `string`, either `'poisson'`or `'cell average'`.
+
+ """
+
+ def __init__(self,
+ point_cloud: PointCloud,
+ cell_sizes,
+ sample_mode='poisson',
+ name=None):
+ #Initialize the attributes.
+ self._aabb = point_cloud.get_AABB()
+ self._point_clouds = [point_cloud]
+ self._cell_sizes = []
+ self._neighborhoods = []
+
+ self._dimension = point_cloud._dimension
+ self._batch_shape = point_cloud._batch_shape
+
+ #Create the different sampling operations.
+ cur_point_cloud = point_cloud
+ for sample_iter, cur_cell_sizes in enumerate(cell_sizes):
+ cur_cell_sizes = tf.convert_to_tensor(
+ value=cur_cell_sizes, dtype=tf.float32)
+
+ # Check if the cell size is defined for all the dimensions.
+ # If not, the last cell size value is tiled until all the dimensions
+ # have a value.
+ cur_num_dims = tf.gather(cur_cell_sizes.shape, 0)
+ cur_cell_sizes = tf.cond(
+ cur_num_dims < self._dimension,
+ lambda: tf.concat((cur_cell_sizes,
+ tf.tile(tf.gather(cur_cell_sizes,
+ [tf.rank(cur_cell_sizes) - 1]),
+ [self._dimension - cur_num_dims])),
+ axis=0),
+ lambda: cur_cell_sizes)
+ tf.assert_greater(
+ self._dimension + 1,
+ cur_num_dims,
+ f'Too many dimensions in cell sizes {cur_num_dims} ' + \
+ f'instead of max. {self._dimension}')
+ # old version, does not run in graph mode
+ # if cur_num_dims < self._dimension:
+ # cur_cell_sizes = tf.concat((cur_cell_sizes,
+ # tf.tile(tf.gather(cur_cell_sizes,
+ # [tf.rank(cur_cell_sizes) - 1]),
+ # [self._dimension - cur_num_dims])),
+ # axis=0)
+ # if cur_num_dims > self._dimension:
+ # raise ValueError(
+ # f'Too many dimensions in cell sizes {cur_num_dims} ' + \
+ # f'instead of max. {self._dimension}')
+
+ self._cell_sizes.append(cur_cell_sizes)
+
+ #Create the sampling operation.
+ cur_grid = Grid(cur_point_cloud, cur_cell_sizes, self._aabb)
+ cur_neighborhood = Neighborhood(cur_grid, cur_cell_sizes)
+ cur_point_cloud, _ = sample(cur_neighborhood, sample_mode)
+
+ self._neighborhoods.append(cur_neighborhood)
+ cur_point_cloud.set_batch_shape(self._batch_shape)
+ self._point_clouds.append(cur_point_cloud)
+
+ def get_points(self, batch_id=None, max_num_points=None, name=None):
+ """ Returns the points.
+
+ Note:
+ In the following, A1 to An are optional batch dimensions.
+
+ If called withoud specifying 'id' returns the points in padded format
+ `[A1, ..., An, V, D]`.
+
+ Args:
+ batch_id: An `int`, identifier of point cloud in the batch, if `None`
+ returns all points.
+
+ Return:
+ A list of `float` `Tensors` of shape
+ `[N_i, D]`, if 'batch_id' was given
+ or
+ `[A1, ..., An, V_i, D]`, if no 'batch_id' was given.
+ """
+ points = []
+ for point_cloud in self._point_clouds:
+ points.append(point_cloud.get_points(batch_id))
+ return points
+
+ def get_sizes(self, name=None):
+ """ Returns the sizes of the point clouds in the point hierarchy.
+
+ Note:
+ In the following, A1 to An are optional batch dimensions.
+
+ Returns:
+ A `list` of `Tensors` of shape '`[A1, .., An]`'
+
+ """
+
+ sizes = []
+ for point_cloud in self._point_clouds:
+ sizes.append(point_cloud.get_sizes())
+ return sizes
+
+ def set_batch_shape(self, batch_shape, name=None):
+ """ Function to change the batch shape.
+
+ Use this to set a batch shape instead of using 'self._batch_shape'
+ to also change dependent variables.
+
+ Note:
+ In the following, A1 to An are optional batch dimensions.
+
+ Args:
+ batch_shape: An 1D `int` `Tensor` `[A1, ..., An]`.
+
+ Raises:
+ ValueError: if shape does not sum up to batch size.
+
+ """
+ for point_cloud in self._point_clouds:
+ point_cloud.set_batch_shape(batch_shape)
+
+ def get_neighborhood(self, i=None, transposed=False):
+ """ Returns the neighborhood between level `i` and `i+1` of the hierarchy.
+ If called without argument returns a list of all neighborhoods.
+
+ Args:
+ i: An `int`, can be negative but must be in range
+ `[-num_levels, num_levels-1]`.
+ transposed: A `bool`, if `True` returns the neighborhood between
+ level `i+1` and `i`.
+
+ Returs:
+ A `Neighborhood` instance or a `list` of `Neighborhood` instances.
+
+ """
+ if i is None:
+ if transposed:
+ return [nb.transposed() for nb in self._neighborhoods]
+ else:
+ return self._neighborhoods
+ else:
+ if transposed:
+ return self._neighborhoods[i].transpose()
+ else:
+ return self._neighborhoods[i]
+
+ def __getitem__(self, index):
+ return self._point_clouds[index]
+
+ def __len__(self):
+ return len(self._point_clouds)
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/__init__.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/__init__.py
new file mode 100755
index 000000000..c499758e3
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/__init__.py
@@ -0,0 +1,28 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+"""Point cloud module."""
+
+from .PointCloud import _AABB as AABB
+from .PointCloud import PointCloud
+from .Grid import Grid
+from .Neighborhood import Neighborhood
+from .Neighborhood import KDEMode
+from .sampling import poisson_disk_sampling, cell_average_sampling
+from .sampling import sample
+
+from .PointHierarchy import PointHierarchy
+
+from pylib.pc import layers
+
+from pylib.pc import custom_ops
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/custom_ops/__init__.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/custom_ops/__init__.py
new file mode 100644
index 000000000..cd2aee431
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/custom_ops/__init__.py
@@ -0,0 +1,39 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+"""Loads custom ops if installed, else loads tensorflow implementations"""
+
+from __future__ import absolute_import
+from __future__ import division
+from __future__ import print_function
+
+try:
+ import tfg_custom_ops
+ CUSTOM = 1
+except ImportError:
+ CUSTOM = 0
+
+if CUSTOM:
+ from .custom_ops_wrapper import basis_proj
+ from .custom_ops_wrapper import build_grid_ds
+ from .custom_ops_wrapper import compute_keys
+ from .custom_ops_wrapper import compute_pdf
+ from .custom_ops_wrapper import find_neighbors
+ from .custom_ops_wrapper import sampling
+else:
+ from .custom_ops_tf import basis_proj_tf as basis_proj
+ from .custom_ops_tf import build_grid_ds_tf as build_grid_ds
+ from .custom_ops_tf import compute_keys_tf as compute_keys
+ from .custom_ops_tf import compute_pdf_tf as compute_pdf
+ from .custom_ops_tf import find_neighbors_tf as find_neighbors
+ from .custom_ops_tf import sampling_tf as sampling
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/custom_ops/custom_ops_tf.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/custom_ops/custom_ops_tf.py
new file mode 100644
index 000000000..e7032fedf
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/custom_ops/custom_ops_tf.py
@@ -0,0 +1,390 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+""" tensorflow implemetations of the custom ops """
+
+import tensorflow as tf
+import numpy as np
+from pylib.pc import PointCloud, Grid
+
+
+def compute_keys_tf(point_cloud: PointCloud, num_cells, cell_size, name=None):
+ """ Computes the regular grid cell keys of a point cloud.
+
+ For a point in cell `c` the key is computed as
+ \\(key = batch_id * prod_{d=0}^{D} num_cells_{d} + \\)
+ \\(sum_{d=0}^{D}( c_{d} prod_{d'=d+1}^{D} num_cells_{d'} ) \\).
+ Args:
+ point_cloud: A `PointCloud` instance.
+ num_cells: An `int` `Tensor` of shape `[D]`, the total number of cells
+ per dimension.
+ cell_size: An `int` `Tensor` of shape `[D]`, the cell sizes per
+ dimension.
+
+ Returns:
+ An `int` `Tensor` of shape `[N]`, the keys per point.
+
+ """
+ aabb = point_cloud.get_AABB()
+ abb_min_per_batch = aabb._aabb_min
+ aabb_min_per_point = tf.gather(abb_min_per_batch, point_cloud._batch_ids)
+ cell_ind = tf.math.floor(
+ (point_cloud._points - aabb_min_per_point) / cell_size)
+ cell_ind = tf.cast(cell_ind, tf.int32)
+ cell_ind = tf.minimum(
+ tf.maximum(cell_ind, tf.zeros_like(cell_ind)),
+ num_cells - 1)
+ cell_multiplier = tf.math.cumprod(num_cells, reverse=True)
+ cell_multiplier = tf.concat((cell_multiplier, [1]), axis=0)
+ keys = point_cloud._batch_ids * cell_multiplier[0] + \
+ tf.math.reduce_sum(cell_ind * tf.reshape(cell_multiplier[1:], [1, -1]),
+ axis=1)
+ return tf.cast(keys, tf.int64)
+tf.no_gradient('ComputeKeysTF')
+
+
+def build_grid_ds_tf(sorted_keys, num_cells, batch_size, name=None):
+ """ Method to build a fast access data structure for point clouds.
+
+ Creates a 2D regular grid in the first two dimension, saving the first and
+ last index belonging to that cell array.
+
+ Args:
+ sorted_keys: An `int` `Tensor` of shape `[N]`, the sorted keys.
+ num_cells: An `int` `Tensor` of shape `[D]`, the total number of cells
+ per dimension.
+ batch_size: An `int`.
+
+ Returns:
+ An `int` `Tensor` of shape `[batch_size, num_cells[0], num_cells[1], 2]`.
+
+ """
+ sorted_keys = tf.cast(tf.convert_to_tensor(value=sorted_keys), tf.int32)
+ num_cells = tf.cast(tf.convert_to_tensor(value=num_cells), tf.int32)
+
+ num_keys = tf.shape(sorted_keys)[0]
+ num_cells_2D = batch_size * num_cells[0] * num_cells[1]
+ tf.assert_greater(
+ tf.shape(num_cells)[0], 1,
+ 'Points must have dimensionality >1.')
+ cells_per_2D_cell = tf.cond(
+ tf.shape(num_cells)[0] > 2,
+ lambda: tf.reduce_prod(num_cells[2:]),
+ lambda: 1
+ )
+ # condition without graph mode
+ # if tf.shape(num_cells)[0] > 2:
+ # cells_per_2D_cell = tf.reduce_prod(num_cells[2:])
+ # elif tf.shape(num_cells)[0] == 2:
+ # cells_per_2D_cell = 1
+
+ ds_indices = tf.cast(tf.floor(sorted_keys / cells_per_2D_cell),
+ dtype=tf.int32)
+ indices = tf.range(0, num_keys, dtype=tf.int32)
+ first_per_cell = tf.math.unsorted_segment_min(
+ indices, ds_indices, num_cells_2D)
+ last_per_cell = tf.math.unsorted_segment_max(
+ indices + 1, ds_indices, num_cells_2D)
+
+ empty_cells = first_per_cell < 0
+ first_per_cell = tf.where(
+ empty_cells, tf.zeros_like(first_per_cell), first_per_cell)
+ last_per_cell = tf.where(
+ empty_cells, tf.zeros_like(last_per_cell), last_per_cell)
+ empty_cells = first_per_cell > num_keys
+ first_per_cell = tf.where(
+ empty_cells, tf.zeros_like(first_per_cell), first_per_cell)
+ last_per_cell = tf.where(
+ empty_cells, tf.zeros_like(last_per_cell), last_per_cell)
+
+ return tf.stack([tf.reshape(first_per_cell,
+ [batch_size, num_cells[0], num_cells[1]]),
+ tf.reshape(last_per_cell,
+ [batch_size, num_cells[0], num_cells[1]])],
+ axis=3)
+tf.no_gradient('BuildGridDsTF')
+
+
+def find_neighbors_tf(grid,
+ point_cloud_centers,
+ radii,
+ max_neighbors=0,
+ name=None):
+ """ Method to find the neighbors of a center point cloud in another
+ point cloud.
+
+ Args:
+ grid: A `Grid` instance, from which the neighbors are chosen.
+ point_cloud_centers: A `PointCloud` instance, containing the center points.
+ radii: A `float`, the radii to select neighbors from.
+ max_neighbors: An `int`, if `0` all neighbors are selected.
+
+ Returns:
+ center_neigh_ranges: An `int` `Tensor` of shape `[N]`, end of the ranges per
+ center point. You can get the neighbor ids of point `i` (i>0) with
+ `neighbors[center_neigh_ranges[i-1]:center_neigh_ranges[i]]`.
+ neighbors: An `int` `Tensor` of shape `[M, 2]`, indices of the neighbor
+ point and the center for each neighbor. Follows the order of
+ `grid._sorted_points`.
+
+ """
+ radii = tf.convert_to_tensor(value=radii)
+ radii = tf.cond(
+ tf.logical_or(tf.shape(radii)[0] == [], tf.shape(radii)[0] == 1),
+ lambda: tf.repeat(radii, grid._point_cloud._dimension),
+ lambda: radii)
+ # condition without graph mode
+ # if tf.shape(radii)[0] == [] or tf.shape(radii)[0] == 1:
+ # radii = tf.repeat(radii, grid._point_cloud._dimension)
+ # compute keys of center points in neighbors 2D grid
+ center_points = point_cloud_centers._points
+ center_batch_ids = point_cloud_centers._batch_ids
+ aabb = grid._aabb
+ abb_min_per_batch_2D = aabb._aabb_min[:, :2]
+ aabb_min_per_center_point_2D = tf.gather(
+ abb_min_per_batch_2D, center_batch_ids)
+ center_cell_ind_2D = tf.math.floor(
+ (center_points[:, :2] - aabb_min_per_center_point_2D) / radii[:2])
+ center_cell_ind_2D = tf.cast(center_cell_ind_2D, tf.int32)
+ center_cell_ind_2D = tf.minimum(
+ tf.maximum(center_cell_ind_2D, tf.zeros_like(center_cell_ind_2D)),
+ grid._num_cells[:2])
+ # find neighbors using fast 2D grid datastructure
+ neighbor_points = grid._sorted_points
+ neighbor_batch_ids = grid._sorted_batch_ids
+ data_structure = grid.get_DS()
+
+ neighbors = []
+ center_neigh_ranges = []
+ cur_neigh_range = 0
+ for i in range(tf.shape(center_points)[0]):
+ cur_point = center_points[i]
+ cur_batch_id = center_batch_ids[i]
+ # get cell_ids of adjacent 2D cells (9 in total)
+ cur_cell_id_2D = center_cell_ind_2D[i]
+ adj_cell_ids_2D = tf.stack(
+ (cur_cell_id_2D + [-1, -1],
+ cur_cell_id_2D + [-1, 0],
+ cur_cell_id_2D + [-1, 1],
+ cur_cell_id_2D + [0, 1],
+ cur_cell_id_2D,
+ cur_cell_id_2D + [0, -1],
+ cur_cell_id_2D + [1, -1],
+ cur_cell_id_2D + [1, 0],
+ cur_cell_id_2D + [1, 1]), axis=0)
+ # clip to range between 0 and max num cells
+ adj_cell_ids_2D = tf.minimum(
+ tf.maximum(adj_cell_ids_2D, tf.zeros_like(adj_cell_ids_2D)),
+ grid._num_cells[:2] - 1)
+ # get min and max point ids of the adjacent cells
+ ds_cur_batch = tf.gather(data_structure, cur_batch_id)
+ adj_ids = tf.gather_nd(ds_cur_batch, [adj_cell_ids_2D])
+ adj_ids_start = tf.reduce_min(adj_ids[0, :, 0])
+ adj_ids_end = tf.reduce_max(adj_ids[0, :, 1])
+ # choose points below certain distance and in same batch
+ adj_points = neighbor_points[adj_ids_start:adj_ids_end]
+ adj_batch_ids = neighbor_batch_ids[adj_ids_start:adj_ids_end]
+ distances = tf.linalg.norm(
+ adj_points - tf.reshape(cur_point, [1, -1]), axis=1)
+ close = (distances < radii[0])
+ same_batch = (adj_batch_ids == cur_batch_id)
+ close = tf.math.logical_and(close, same_batch)
+ close_ids = tf.boolean_mask(tf.range(adj_ids_start, adj_ids_end), close)
+
+ cur_neighbors = tf.stack(
+ (close_ids, tf.ones_like(close_ids) * i), axis=1)
+ neighbors.append(cur_neighbors)
+ cur_neigh_range = cur_neigh_range + tf.shape(cur_neighbors)[0]
+ center_neigh_ranges.append(cur_neigh_range)
+
+ neighbors = tf.concat(neighbors, axis=0)
+ center_neigh_ranges = tf.concat(center_neigh_ranges, axis=0)
+
+ return center_neigh_ranges, neighbors
+tf.no_gradient('FindNeighborsTF')
+
+
+def find_neighbors_no_grid(point_cloud,
+ point_cloud_centers,
+ radius,
+ name=None):
+ """ Method to find the neighbors of a center point cloud in another
+ point cloud.
+
+ Args:
+ point_cloud: A `PointCloud` instance, from which the neighbors are chosen.
+ point_cloud_centers: A `PointCloud` instance, containing the center points.
+ radius: A `float`, the radius to select neighbors from.
+
+ Returns:
+ center_neigh_ranges: An `int` `Tensor` of shape `[N]`, end of the ranges per
+ center point. You can get the neighbor ids of point `i` (i>0) with
+ `neighbors[center_neigh_ranges[i-1]:center_neigh_ranges[i]]`.
+ neighbors: An `int` `Tensor` of shape `[M, 2]`, indices of the neighbor
+ point and the center for each neighbor. Follows the order of
+ `grid._sorted_points`.
+
+ """
+ points = point_cloud._points
+ batch_ids = point_cloud._batch_ids
+ center_points = point_cloud_centers._points
+ center_batch_ids = point_cloud_centers._batch_ids
+ num_center_points = tf.shape(center_points)[0]
+
+ distances = tf.linalg.norm(tf.expand_dims(points, axis=0) - \
+ tf.expand_dims(center_points, axis=1),
+ axis=-1)
+ close = (distances <= radius)
+ same_batch = (tf.expand_dims(batch_ids, axis=0) == \
+ tf.expand_dims(center_batch_ids, axis=1))
+ close = tf.math.logical_and(same_batch, close)
+
+ neighbors = tf.where(close)
+ neighbors = tf.reverse(neighbors, axis=[1])
+ num_neighbors = tf.shape(neighbors)[0]
+ neigh_ranges = tf.math.unsorted_segment_max(
+ tf.range(1, num_neighbors + 1),
+ neighbors[:, 1],
+ num_center_points)
+ return neigh_ranges, neighbors
+tf.no_gradient('FindNeighborsNoGrid')
+
+
+def sampling_tf(neighborhood, sample_mode, name=None):
+ """ Method to sample the points of a point cloud.
+
+ Args:
+ neighborhood: A `Neighborhood` instance, which contains a point cloud with
+ its neighbors.
+ sample_mode: An `int`specifiying the sample mode,
+ `0` for average, `1` for poisson.
+
+ Returns:
+ sampled_points: A `float` `Tensor` of shape [S, D], the sampled points.
+ sampled_batch_ids: An `int` `Tensor` of shape [S], the batch ids.
+ sampled_indices: An `int` `Tensor` of shape [S], the indices to the
+ unsampled points.
+ Following the order of neighborhood._grid._sorted_points.
+
+ """
+ points = neighborhood._grid._sorted_points
+ batch_ids = neighborhood._grid._sorted_batch_ids
+ num_points = tf.shape(points)[0]
+ if sample_mode == 0:
+ # poisson sampling
+ nb_ranges = tf.concat(([0], neighborhood._samples_neigh_ranges), axis=0)
+ neighbors = neighborhood._neighbors
+ num_points = tf.shape(neighborhood._grid._sorted_points)[0]
+ log_probabilities = tf.ones([num_points])
+ sampled_indices = tf.zeros([0], dtype=tf.int64)
+ # to set log prob to -inf <=> prob to zero
+ tf_neg_inf = tf.constant(-np.inf)
+
+ #sample points until all log probabilites are set to -inf
+ while not tf.reduce_all(tf.math.is_inf(log_probabilities)):
+ choice = tf.random.categorical(
+ tf.expand_dims(log_probabilities, axis=0), 1)[0]
+ # add choice to sampled indices
+ sampled_indices = tf.concat((sampled_indices, choice), axis=0)
+ # set log probability of neighbors to -inf
+ sample_neighbors = \
+ neighbors[nb_ranges[choice[0]]:nb_ranges[choice[0] + 1], 0]
+ num_neighbors = tf.shape(sample_neighbors)[0]
+ log_probabilities = tf.tensor_scatter_nd_update(
+ log_probabilities,
+ tf.expand_dims(sample_neighbors, axis=1),
+ tf.repeat(tf_neg_inf, num_neighbors))
+ sampled_points = tf.gather(points, sampled_indices)
+ sampled_batch_ids = tf.gather(batch_ids, sampled_indices)
+
+ elif sample_mode == 1:
+ # cell average sampling
+ keys = neighborhood._grid._sorted_keys
+ # replace keys with numbers 0 to num_unique keys
+ unique, _, counts = tf.unique_with_counts(keys)
+ num_unique_keys = tf.shape(unique)[0]
+ new_keys = tf.repeat(tf.range(0, num_unique_keys), counts)
+ # average over points with same cell key
+ sampled_points = tf.math.segment_mean(points, new_keys)
+ # get batch of a point in the same cell
+ sampled_indices = tf.math.segment_min(tf.range(0, num_points), new_keys)
+ sampled_batch_ids = tf.gather(batch_ids, sampled_indices)
+
+ return sampled_points, sampled_batch_ids, sampled_indices
+
+tf.no_gradient('samplingTF')
+
+
+_pi = tf.constant(np.pi)
+
+
+def compute_pdf_tf(neighborhood, bandwidth, mode, name=None):
+ """ Method to compute the density distribution using neighborhood information
+ in euclidean space using kernel density estimation (KDE).
+
+ Args:
+ neighborhood: A `Neighborhood` instance of the pointcloud to itself.
+ bandwidth: An `int` `Tensor` of shape `[D]`, the bandwidth of the KDE.
+ mode: A `KDEMode` value.
+
+ Returns:
+ A `float` `Tensor` of shape `[N]`, the estimated density per point,
+ with respect to the sorted points of the grid in `neighborhood`.
+
+ """
+ bandwidth = tf.convert_to_tensor(value=bandwidth)
+
+ rel_bandwidth = tf.reshape(bandwidth * neighborhood._radii, [1, -1])
+ points = neighborhood._grid._sorted_points / rel_bandwidth
+ num_points = tf.shape(points)[0]
+ neighbors = neighborhood._neighbors
+ # point differences
+ nb_diff = tf.gather(points, neighbors[:, 0]) - \
+ tf.gather(points, neighbors[:, 1])
+ # kde on point differences
+ # gaussian kernel, note division by bandwidth was already done above
+ nb_kernel_value = tf.exp(-tf.pow(nb_diff, 2) / 2) / tf.sqrt(2 * _pi)
+ nb_kernel_value = tf.reduce_prod(nb_kernel_value, axis=1)
+ # sum over influence of neighbors
+ pdf = tf.math.unsorted_segment_sum(nb_kernel_value,
+ neighbors[:, 1],
+ num_points) / \
+ tf.reduce_prod(bandwidth)
+ return pdf
+
+
+
+def basis_proj_tf(neigh_basis, features, neighborhood, name=None):
+ """ Method to aggregate the features*basis for different neighborhoods.
+
+ Args:
+ neigh_basis: A `float` `Tensor` of shape `[M, H]`, the projection of
+ each neighbor to the different basis.
+ features: A `float` `Tensor` of shape `[N_in, C]`, the input features.
+ neighborhood: A `Neighborhood` instance.
+
+ Returns:
+ A `float` `Tensor` of shape ``[N_out, C, H]`, the weighted latent features.
+ """
+ neigh_basis = tf.convert_to_tensor(value=neigh_basis, dtype=tf.float32)
+ features = tf.convert_to_tensor(value=features, dtype=tf.float32)
+ # get input in correct shapes
+ num_nbh = tf.shape(neighborhood._point_cloud_sampled._points)[0]
+ features_per_nb = tf.gather(features,
+ neighborhood._original_neigh_ids[:, 0])
+ # Monte-Carlo Integration
+ weighted_features_per_nb = tf.expand_dims(features_per_nb, 2) *\
+ tf.expand_dims(neigh_basis, 1)
+ weighted_latent_per_center = tf.math.unsorted_segment_sum(
+ weighted_features_per_nb, neighborhood._neighbors[:, 1], num_nbh)
+ return weighted_latent_per_center
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/custom_ops/tests/__init__.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/custom_ops/tests/__init__.py
new file mode 100644
index 000000000..e69de29bb
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/custom_ops/tests/basis_proj_tf_test.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/custom_ops/tests/basis_proj_tf_test.py
new file mode 100644
index 000000000..93c4cda9b
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/custom_ops/tests/basis_proj_tf_test.py
@@ -0,0 +1,177 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific
+"""Class to test basis projection tensorflow implementation"""
+
+import os
+import sys
+import numpy as np
+import tensorflow as tf
+from absl.testing import parameterized
+from tensorflow_graphics.util import test_case
+
+from pylib.pc import PointCloud, Grid, Neighborhood, AABB
+from pylib.pc.tests import utils
+from pylib.pc.layers import MCConv
+from pylib.pc.custom_ops.custom_ops_tf import basis_proj_tf
+
+
+class BasisProjTFTest(test_case.TestCase):
+
+ @parameterized.parameters(
+ (2000, 200, [3, 3], 16, 0.7, 4, 2),
+ (2000, 200, [1, 3], 16, 0.7, 8, 3),
+ (4000, 400, [3, 3], 8, 0.7, 8, 3),
+ (2000, 200, [3, 3], 16, 0.7, 8, 4),
+ )
+ def test_basis_proj(self,
+ num_points,
+ num_samples,
+ num_features,
+ batch_size,
+ radius,
+ hidden_size,
+ dimension):
+ cell_sizes = np.float32(np.repeat(radius, dimension))
+ points, batch_ids = utils._create_random_point_cloud_segmented(
+ batch_size, num_points, dimension=dimension)
+ features = np.random.rand(num_points, num_features[0])
+ point_cloud = PointCloud(points, batch_ids)
+
+ point_samples, batch_ids_samples = \
+ utils._create_random_point_cloud_segmented(
+ batch_size, num_samples, dimension=dimension)
+
+ point_cloud_samples = PointCloud(point_samples, batch_ids_samples)
+ grid = Grid(point_cloud, cell_sizes)
+ neighborhood = Neighborhood(grid, cell_sizes, point_cloud_samples)
+ nb_ids = neighborhood._original_neigh_ids
+ # tf
+ conv_layer = MCConv(
+ num_features[0], num_features[1], dimension, 1, [hidden_size])
+
+ basis_weights_tf = tf.reshape(conv_layer._weights_tf[0],
+ [dimension, hidden_size])
+ basis_biases_tf = tf.reshape(conv_layer._bias_tf[0], [1, hidden_size])
+
+ neigh_point_coords = points[nb_ids[:, 0]]
+ center_point_coords = point_samples[nb_ids[:, 1]]
+ kernel_input = (neigh_point_coords - center_point_coords) / radius
+ basis_neighs = \
+ tf.matmul(kernel_input.astype(np.float32), basis_weights_tf) + \
+ basis_biases_tf
+ basis_neighs = tf.nn.relu(basis_neighs)
+
+ weighted_latent_per_sample_tf = basis_proj_tf(basis_neighs,
+ features,
+ neighborhood)
+
+ # numpy
+ neighbor_ids = neighborhood._original_neigh_ids.numpy()
+ nb_ranges = neighborhood._samples_neigh_ranges.numpy()
+ # extract variables
+ hidden_weights = basis_weights_tf.numpy()
+ hidden_biases = basis_biases_tf.numpy()
+
+ features_on_neighbors = features[neighbor_ids[:, 0]]
+ # compute first layer of kernel MLP
+ point_diff = (points[neighbor_ids[:, 0]] -\
+ point_samples[neighbor_ids[:, 1]])\
+ / np.expand_dims(cell_sizes, 0)
+
+ latent_per_nb = np.dot(point_diff, hidden_weights) + hidden_biases
+
+ latent_relu_per_nb = np.maximum(latent_per_nb, 0)
+ # Monte-Carlo integration after first layer
+ # weighting with pdf
+ weighted_features_per_nb = np.expand_dims(features_on_neighbors, 2) * \
+ np.expand_dims(latent_relu_per_nb, 1)
+ nb_ranges = np.concatenate(([0], nb_ranges), axis=0)
+ # sum (integration)
+ weighted_latent_per_sample = \
+ np.zeros([num_samples, num_features[0], hidden_size])
+ for i in range(num_samples):
+ weighted_latent_per_sample[i] = \
+ np.sum(weighted_features_per_nb[nb_ranges[i]:nb_ranges[i + 1]],
+ axis=0)
+
+ self.assertAllClose(weighted_latent_per_sample_tf,
+ weighted_latent_per_sample, atol=1e-3)
+
+ @parameterized.parameters(
+ (8, 4, [8, 8], 2, np.sqrt(3) * 1.25, 8, 3)
+ )
+ def test_basis_proj_jacobian(self,
+ num_points,
+ num_samples,
+ num_features,
+ batch_size,
+ radius,
+ hidden_size,
+ dimension):
+ cell_sizes = np.float32(np.repeat(radius, dimension))
+ points, batch_ids = utils._create_random_point_cloud_segmented(
+ batch_size, num_points, dimension=dimension)
+ features = np.random.rand(num_points, num_features[0])
+ point_cloud = PointCloud(points, batch_ids)
+
+ point_samples, batch_ids_samples = \
+ utils._create_random_point_cloud_segmented(
+ batch_size, num_samples, dimension=dimension)
+
+ point_cloud_samples = PointCloud(point_samples, batch_ids_samples)
+ grid = Grid(point_cloud, cell_sizes)
+ neighborhood = Neighborhood(grid, cell_sizes, point_cloud_samples)
+ nb_ids = neighborhood._original_neigh_ids
+ # tf
+ conv_layer = MCConv(
+ num_features[0], num_features[1], dimension, 1, [hidden_size])
+
+ neigh_point_coords = points[nb_ids[:, 0].numpy()]
+ center_point_coords = point_samples[nb_ids[:, 1].numpy()]
+ kernel_input = (neigh_point_coords - center_point_coords) / radius
+
+ basis_weights_tf = tf.reshape(conv_layer._weights_tf[0],
+ [dimension, hidden_size])
+ basis_biases_tf = tf.reshape(conv_layer._bias_tf[0], [1, hidden_size])
+
+ basis_neighs = \
+ tf.matmul(kernel_input.astype(np.float32), basis_weights_tf) +\
+ basis_biases_tf
+ basis_neighs = tf.nn.leaky_relu(basis_neighs)
+
+ _, _, counts = tf.unique_with_counts(neighborhood._neighbors[:, 1])
+ max_num_nb = tf.reduce_max(counts).numpy()
+
+ with self.subTest(name='features'):
+ def basis_proj_features(features_in):
+ return basis_proj_tf(basis_neighs,
+ features_in,
+ neighborhood) / (max_num_nb)
+
+ self.assert_jacobian_is_correct_fn(
+ basis_proj_features, [np.float32(features)], atol=1e-4, delta=1e-3)
+
+ with self.subTest(name='neigh_basis'):
+ def basis_proj_basis_neighs(basis_neighs_in):
+ return basis_proj_tf(basis_neighs_in,
+ features,
+ neighborhood) / (max_num_nb)
+
+ self.assert_jacobian_is_correct_fn(
+ basis_proj_basis_neighs,
+ [np.float32(basis_neighs)],
+ atol=1e-4, delta=1e-3)
+
+
+if __name__ == '__main___':
+ test_case.main()
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/custom_ops/tests/build_grid_ds_tf_test.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/custom_ops/tests/build_grid_ds_tf_test.py
new file mode 100644
index 000000000..b12c2c4fe
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/custom_ops/tests/build_grid_ds_tf_test.py
@@ -0,0 +1,96 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific
+"""Class to test build_grid_ds tensorflow implementation"""
+
+import numpy as np
+import tensorflow as tf
+from absl.testing import parameterized
+from tensorflow_graphics.util import test_case
+
+from pylib.pc import PointCloud
+from pylib.pc.tests import utils
+from pylib.pc.custom_ops.custom_ops_tf import build_grid_ds_tf
+from pylib.pc.custom_ops import compute_keys
+
+
+class BuildGridDSTF(test_case.TestCase):
+
+ @parameterized.parameters(
+ (100, 32, 30, 0.1, 2),
+ (200, 16, 1, 0.2, 2),
+ (200, 8, 1, np.sqrt(2), 2),
+ (100, 32, 30, 0.1, 3),
+ (200, 16, 1, 0.2, 3),
+ (200, 8, 1, np.sqrt(3), 3),
+ (100, 32, 30, 0.1, 4),
+ (200, 16, 1, 0.2, 4),
+ (200, 8, 1, np.sqrt(4), 4)
+ )
+ def test_grid_datastructure(self,
+ num_points,
+ batch_size,
+ scale,
+ radius,
+ dimension):
+ radius = np.float32(np.repeat(radius, dimension))
+ points, batch_ids = utils._create_random_point_cloud_segmented(
+ batch_size, num_points * batch_size, dimension=dimension,
+ sizes=np.ones(batch_size, dtype=int) * num_points, clean_aabb=True)
+ point_cloud = PointCloud(points, batch_ids)
+ #Compute the number of cells in the grid.
+ aabb = point_cloud.get_AABB()
+ aabb_sizes = aabb._aabb_max - aabb._aabb_min
+ batch_num_cells = tf.cast(
+ tf.math.ceil(aabb_sizes / radius), tf.int32)
+ total_num_cells = tf.maximum(
+ tf.reduce_max(batch_num_cells, axis=0), 1)
+ keys = compute_keys(point_cloud, total_num_cells, radius)
+ keys = tf.sort(keys, direction='DESCENDING')
+ ds_tf = build_grid_ds_tf(keys, total_num_cells, batch_size)
+
+ keys = keys.numpy()
+ ds_numpy = np.full((batch_size, total_num_cells[0],
+ total_num_cells[1], 2), 0)
+ if dimension == 2:
+ cells_per_2D_cell = 1
+ elif dimension > 2:
+ cells_per_2D_cell = np.prod(total_num_cells[2:])
+ for key_iter, key in enumerate(keys):
+ curDSIndex = key // cells_per_2D_cell
+ yIndex = curDSIndex % total_num_cells[1]
+ auxInt = curDSIndex // total_num_cells[1]
+ xIndex = auxInt % total_num_cells[0]
+ curbatch_ids = auxInt // total_num_cells[0]
+
+ if key_iter == 0:
+ ds_numpy[curbatch_ids, xIndex, yIndex, 0] = key_iter
+ else:
+ prevKey = keys[key_iter - 1]
+ prevDSIndex = prevKey // cells_per_2D_cell
+ if prevDSIndex != curDSIndex:
+ ds_numpy[curbatch_ids, xIndex, yIndex, 0] = key_iter
+
+ nextIter = key_iter + 1
+ if nextIter >= len(keys):
+ ds_numpy[curbatch_ids, xIndex, yIndex, 1] = len(keys)
+ else:
+ nextKey = keys[key_iter + 1]
+ nextDSIndex = nextKey // cells_per_2D_cell
+ if nextDSIndex != curDSIndex:
+ ds_numpy[curbatch_ids, xIndex, yIndex, 1] = key_iter + 1
+
+ # check if the data structure is equal
+ self.assertAllEqual(ds_tf, ds_numpy)
+
+if __name__ == '__main__':
+ test_case.main()
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/custom_ops/tests/compute_keys_tf_test.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/custom_ops/tests/compute_keys_tf_test.py
new file mode 100644
index 000000000..b32840084
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/custom_ops/tests/compute_keys_tf_test.py
@@ -0,0 +1,73 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific
+"""Class to test compute_keys tensorflow implementation"""
+
+import numpy as np
+import tensorflow as tf
+from absl.testing import parameterized
+from tensorflow_graphics.util import test_case
+
+from pylib.pc import PointCloud
+from pylib.pc.tests import utils
+from pylib.pc.custom_ops.custom_ops_tf import compute_keys_tf
+
+
+class ComputeKeysTF(test_case.TestCase):
+
+ @parameterized.parameters(
+ (100, 32, 30, 0.1, 2),
+ (200, 16, 1, 0.2, 2),
+ (200, 8, 1, np.sqrt(2), 2),
+ (100, 32, 30, 0.1, 3),
+ (200, 16, 1, 0.2, 3),
+ (200, 8, 1, np.sqrt(3), 3),
+ (100, 32, 30, 0.1, 4),
+ (200, 16, 1, 0.2, 4),
+ (200, 8, 1, np.sqrt(4), 4)
+ )
+ def test_compute_keys_tf(self,
+ num_points,
+ batch_size,
+ scale,
+ radius,
+ dimension):
+ radius = np.repeat(radius, dimension)
+ points, batch_ids = utils._create_random_point_cloud_segmented(
+ batch_size, num_points * batch_size, dimension=dimension,
+ sizes=np.ones(batch_size, dtype=int) * num_points, clean_aabb=False)
+ point_cloud = PointCloud(points, batch_ids)
+
+ #Compute the number of cells in the grid.
+ aabb = point_cloud.get_AABB()
+ aabb_sizes = aabb._aabb_max - aabb._aabb_min
+ batch_num_cells = tf.cast(
+ tf.math.ceil(aabb_sizes / radius), tf.int32)
+ total_num_cells = tf.maximum(
+ tf.reduce_max(batch_num_cells, axis=0), 1)
+
+ keys_tf = compute_keys_tf(point_cloud, total_num_cells, radius)
+ aabb_min = aabb._aabb_min.numpy()
+
+ aabb_min_per_point = aabb_min[batch_ids, :]
+ cell_ind = np.floor((points - aabb_min_per_point) / radius).astype(int)
+ cell_ind = np.minimum(np.maximum(cell_ind, [0] * dimension),
+ total_num_cells)
+ cell_multiplier = np.flip(np.cumprod(np.flip(total_num_cells)))
+ cell_multiplier = np.concatenate((cell_multiplier, [1]), axis=0)
+ keys = batch_ids * cell_multiplier[0] + \
+ np.sum(cell_ind * cell_multiplier[1:].reshape([1, -1]), axis=1)
+ # check unsorted keys
+ self.assertAllEqual(keys_tf, keys)
+
+if __name__ == '__main__':
+ test_case.main()
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/custom_ops/tests/compute_pdf_tf_test.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/custom_ops/tests/compute_pdf_tf_test.py
new file mode 100644
index 000000000..dc66f13c0
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/custom_ops/tests/compute_pdf_tf_test.py
@@ -0,0 +1,152 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific
+"""Class to test kernel density estimation tensorflow implementation"""
+
+import os
+import sys
+import numpy as np
+from sklearn.neighbors import KernelDensity
+import tensorflow as tf
+from absl.testing import parameterized
+from tensorflow_graphics.util import test_case
+
+from pylib.pc import PointCloud
+from pylib.pc import Grid
+from pylib.pc import KDEMode
+from pylib.pc import Neighborhood
+from pylib.pc.custom_ops.custom_ops_tf import compute_pdf_tf
+from pylib.pc.tests import utils
+
+
+class ComputePDFTFTest(test_case.TestCase):
+
+ @parameterized.parameters(
+ (2, 100, 10, 0.2, 0.1, 2),
+ (2, 100, 10, 0.7, 0.1, 2),
+ (2, 100, 10, np.sqrt(2), 0.1, 2),
+ (2, 100, 10, 0.2, 0.2, 3),
+ (2, 100, 10, 0.7, 0.1, 3),
+ (2, 100, 10, np.sqrt(3), 0.2, 3),
+ (2, 100, 10, 0.2, 0.2, 4),
+ (2, 100, 10, np.sqrt(4), 0.2, 4)
+ )
+ def test_compute_pdf_tf(self,
+ batch_size,
+ num_points,
+ num_samples_per_batch,
+ cell_size,
+ bandwidth,
+ dimension):
+ cell_sizes = np.float32(np.repeat(cell_size, dimension))
+ bandwidths = np.float32(np.repeat(bandwidth, dimension))
+ points, batch_ids = utils._create_random_point_cloud_segmented(
+ batch_size, batch_size * num_points, dimension,
+ equal_sized_batches=True)
+ samples = np.full((batch_size * num_samples_per_batch, dimension),
+ 0.0, dtype=float)
+ for i in range(batch_size):
+ cur_choice = np.random.choice(num_points, num_samples_per_batch,
+ replace=True)
+ samples[num_samples_per_batch * i:num_samples_per_batch * (i + 1), :] = \
+ points[cur_choice + i * num_points]
+ samples_batch_ids = np.repeat(np.arange(0, batch_size),
+ num_samples_per_batch)
+
+ point_cloud = PointCloud(points, batch_ids, batch_size)
+ grid = Grid(point_cloud, cell_sizes)
+
+ point_cloud_samples = PointCloud(samples, samples_batch_ids, batch_size)
+ neighborhood = Neighborhood(grid, cell_sizes, point_cloud_samples)
+ neighbor_ids = neighborhood._neighbors
+ pdf_neighbors = Neighborhood(grid, cell_sizes)
+ pdf_tf = compute_pdf_tf(pdf_neighbors, bandwidths, KDEMode.constant)
+ pdf_tf = tf.gather(pdf_tf, neighbor_ids[:, 0])
+
+ sorted_points = grid._sorted_points.numpy()
+ sorted_batch_ids = grid._sorted_batch_ids.numpy()
+ neighbor_ids = neighborhood._neighbors
+
+ pdf_real = []
+ accum_points = []
+ prev_batch_i = -1
+ for pt_i, batch_i in enumerate(sorted_batch_ids):
+ if batch_i != prev_batch_i:
+ if len(accum_points) > 0:
+ test_points = np.array(accum_points)
+ kde_skl = KernelDensity(bandwidth=bandwidth)
+ kde_skl.fit(test_points)
+ log_pdf = kde_skl.score_samples(test_points)
+ pdf = np.exp(log_pdf)
+ if len(pdf_real) > 0:
+ pdf_real = np.concatenate((pdf_real, pdf), axis=0)
+ else:
+ pdf_real = pdf
+ accum_points = [sorted_points[pt_i] / cell_size]
+ prev_batch_i = batch_i
+ else:
+ accum_points.append(sorted_points[pt_i] / cell_size)
+
+ test_points = np.array(accum_points)
+ kde_skl = KernelDensity(bandwidth=bandwidth)
+ kde_skl.fit(test_points)
+ log_pdf = kde_skl.score_samples(test_points)
+ pdf = np.exp(log_pdf)
+ if len(pdf_real) > 0:
+ pdf_real = np.concatenate((pdf_real, pdf), axis=0)
+ else:
+ pdf_real = pdf
+
+ pdf_tf = np.asarray(pdf_tf / float(len(accum_points)))
+ pdf_skl = np.asarray(pdf_real)[neighbor_ids[:, 0]]
+ self.assertAllClose(pdf_tf, pdf_skl)
+
+ @parameterized.parameters(
+ (1, 20, 1, np.sqrt(2), 2),
+ (1, 20, 1, np.sqrt(3), 3),
+ (1, 20, 1, np.sqrt(4), 4)
+ )
+ def test_compute_pdf_jacobian(self,
+ batch_size,
+ num_points,
+ num_samples,
+ radius,
+ dimension):
+ cell_sizes = np.float32(np.repeat(radius, dimension))
+ bandwidths = np.float32(np.repeat(radius, dimension))
+ points, batch_ids = utils._create_random_point_cloud_segmented(
+ batch_size, batch_size * num_points, dimension,
+ equal_sized_batches=True)
+ samples = np.full((batch_size * num_samples, dimension), 0.0, dtype=float)
+ for i in range(batch_size):
+ cur_choice = np.random.choice(num_points, num_samples, replace=True)
+ samples[num_samples * i:num_samples * (i + 1), :] = \
+ points[cur_choice + i * num_points]
+ samples_batch_ids = np.repeat(np.arange(0, batch_size), num_samples)
+ def compute_pdf(points_in):
+ point_cloud = PointCloud(points_in, batch_ids, batch_size)
+ grid = Grid(point_cloud, cell_sizes)
+
+ point_cloud_samples = PointCloud(samples, samples_batch_ids, batch_size)
+ neighborhood = Neighborhood(grid, cell_sizes, point_cloud_samples)
+ neighborhood.compute_pdf(bandwidths, KDEMode.constant, normalize=True)
+ # account for influence of neighborhood size
+ _, _, counts = tf.unique_with_counts(neighborhood._neighbors[:, 1])
+ max_num_nb = tf.cast(tf.reduce_max(counts), tf.float32)
+ return neighborhood._pdf / max_num_nb
+
+ self.assert_jacobian_is_correct_fn(
+ compute_pdf, [np.float32(points)], atol=1e-4, delta=1e-4)
+
+
+if __name__ == '__main__':
+ test_case.main()
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/custom_ops/tests/find_neighbors_tf_test.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/custom_ops/tests/find_neighbors_tf_test.py
new file mode 100644
index 000000000..637f77e61
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/custom_ops/tests/find_neighbors_tf_test.py
@@ -0,0 +1,98 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific
+"""Class to test find neighbors tensorflow implementation"""
+
+import numpy as np
+import tensorflow as tf
+from absl.testing import parameterized
+from tensorflow_graphics.util import test_case
+
+from pylib.pc import PointCloud, Grid
+from pylib.pc.tests import utils
+from pylib.pc.custom_ops.custom_ops_tf import find_neighbors_tf
+from pylib.pc.custom_ops.custom_ops_tf import find_neighbors_no_grid
+
+
+class FindNeighborsTF(test_case.TestCase):
+
+ @parameterized.parameters(
+ (10, 4, 0.05, 1),
+ (10, 4, 0.11, 7),
+ (10, 4, 0.142, 19),
+ (10, 4, 0.174, 27),
+ )
+ def test_neighbors_on_3D_meshgrid(self,
+ num_points_cbrt,
+ num_points_samples_cbrt,
+ radius,
+ expected_num_neighbors):
+ num_points = num_points_cbrt**3
+ num_samples = num_points_samples_cbrt**3
+
+ points = utils._create_uniform_distributed_point_cloud_3D(
+ num_points_cbrt, flat=True)
+ batch_ids = np.zeros(num_points)
+ points_samples = utils._create_uniform_distributed_point_cloud_3D(
+ num_points_samples_cbrt, bb_min=1 / (num_points_samples_cbrt + 1),
+ flat=True)
+ batch_ids_samples = np.zeros(num_samples)
+ point_cloud = PointCloud(points, batch_ids)
+ point_cloud_samples = PointCloud(points_samples, batch_ids_samples)
+ cell_sizes = np.float32(np.repeat([radius], 3))
+ grid = Grid(point_cloud, cell_sizes)
+
+ # with grid
+ neigh_ranges, _ = find_neighbors_tf(grid, point_cloud_samples, cell_sizes)
+ num_neighbors = np.zeros(num_samples)
+ num_neighbors[0] = neigh_ranges[0]
+ num_neighbors[1:] = neigh_ranges[1:] - neigh_ranges[:-1]
+ expected_num_neighbors = \
+ np.ones_like(num_neighbors) * expected_num_neighbors
+ self.assertAllEqual(num_neighbors, expected_num_neighbors)
+
+ @parameterized.parameters(
+ (10, 4, 0.05, 1),
+ (10, 4, 0.11, 7),
+ (10, 4, 0.142, 19),
+ (10, 4, 0.174, 27),
+ )
+ def test_neighbors_on_3D_meshgrid_without_gridDS(self,
+ num_points_cbrt,
+ num_points_samples_cbrt,
+ radius,
+ expected_num_neighbors):
+ num_points = num_points_cbrt**3
+ num_samples = num_points_samples_cbrt**3
+
+ points = utils._create_uniform_distributed_point_cloud_3D(
+ num_points_cbrt, flat=True)
+ batch_ids = np.zeros(num_points)
+ points_samples = utils._create_uniform_distributed_point_cloud_3D(
+ num_points_samples_cbrt, bb_min=1 / (num_points_samples_cbrt + 1),
+ flat=True)
+ batch_ids_samples = np.zeros(num_samples)
+ point_cloud = PointCloud(points, batch_ids)
+ point_cloud_samples = PointCloud(points_samples, batch_ids_samples)
+
+ # without grid
+ neigh_ranges, _ = find_neighbors_no_grid(
+ point_cloud, point_cloud_samples, radius)
+ num_neighbors = np.zeros(num_samples)
+ num_neighbors[0] = neigh_ranges[0]
+ num_neighbors[1:] = neigh_ranges[1:] - neigh_ranges[:-1]
+ expected_num_neighbors = \
+ np.ones_like(num_neighbors) * expected_num_neighbors
+ self.assertAllEqual(num_neighbors, expected_num_neighbors)
+
+if __name__ == '__main__':
+ test_case.main()
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/Conv1x1.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/Conv1x1.py
new file mode 100644
index 000000000..3bfd2997c
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/Conv1x1.py
@@ -0,0 +1,101 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+"""Class to represent point cloud 1x1 convolution"""
+
+import tensorflow as tf
+from pylib.pc.utils import _flatten_features
+from pylib.pc.layers.utils import _format_output
+
+from pylib.pc import PointCloud
+
+
+class Conv1x1(tf.Module):
+ """ A 1x1 convolution on the point features. This op reshapes the arguments
+ to pass them to `tf.keras.layers.Conv1D` to perform the equivalent
+ convolution operation.
+
+ Note: This uses less memory than a point cloud convolution layer with a 1x1
+ neighborhood, but might be slower for large feature dimensions.
+
+ Args:
+ num_features_in: An `int` `C_in`, the number of input features.
+ num_features_out: An `int` `C_out`, the number of output features.
+ name: An `string` with the name of the module.
+ """
+
+ def __init__(self, num_features_in, num_features_out, name=None):
+
+ super().__init__(name=name)
+
+ if not(name is None):
+ weigths_name = name + "/weights"
+ bias_name = name + "/bias"
+ else:
+ weigths_name = "Conv1x1/weights"
+ bias_name = "Conv1x1/bias"
+
+ std_dev = tf.math.sqrt(2.0 / float(num_features_in))
+ weights_init_obj = tf.initializers.TruncatedNormal(stddev=std_dev)
+ self._weights_tf = tf.Variable(
+ weights_init_obj(
+ shape=[num_features_in, num_features_out],
+ dtype=tf.float32),
+ trainable=True,
+ name=weigths_name)
+
+ bias_init_obj = tf.initializers.zeros()
+ self._bias_tf = tf.Variable(
+ bias_init_obj(
+ shape=[1, num_features_out],
+ dtype=tf.float32),
+ trainable=True,
+ name=bias_name)
+
+ def __call__(self,
+ features,
+ point_cloud,
+ return_sorted=False,
+ return_padded=False):
+ """ Computes the 1x1 convolution on a point cloud.
+
+ Note:
+ In the following, `A1` to `An` are optional batch dimensions.
+ `C_in` is the number of input features.
+ `C_out` is the number of output features.
+
+ Args:
+ features: A `float` `Tensor` of shape `[N_in, C_in]` or
+ `[A1, ..., An, V, C_in]`.
+ point_cloud: A 'PointCloud' instance, on which the features are
+ defined.
+ return_sorted: A `boolean`, if `True` the output tensor is sorted
+ according to the batch_ids. (optional)
+ return_padded: A `bool`, if 'True' the output tensor is sorted and
+ zero padded. (optional)
+
+ Returns:
+ A `float` `Tensor` of shape
+ `[N_out, C_out]`, if `return_padded` is `False`
+ or
+ `[A1, ..., An, V_out, C_out]`, if `return_padded` is `True`.
+
+ """
+ features = tf.cast(tf.convert_to_tensor(value=features),
+ dtype=tf.float32)
+ features = _flatten_features(features, point_cloud)
+ features = tf.matmul(features, self._weights_tf) + self._bias_tf
+ return _format_output(features,
+ point_cloud,
+ return_sorted,
+ return_padded)
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/KPConv.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/KPConv.py
new file mode 100644
index 000000000..9e71127da
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/KPConv.py
@@ -0,0 +1,429 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+"""Class for kernel point cloud convolutions"""
+
+import tensorflow as tf
+from pylib.pc.utils import _flatten_features
+
+from pylib.pc import PointCloud
+from pylib.pc import Grid
+from pylib.pc import Neighborhood
+from pylib.pc import KDEMode
+
+from pylib.pc.custom_ops import basis_proj
+from pylib.pc.layers.utils import _format_output, spherical_kernel_points, \
+ random_rotation
+
+
+def _linear_weighting(values, sigma):
+ """ Linear kernel weights for KP Conv.
+
+ Args:
+ values: A `float` `Tensor` of shape `[K, M]`, the normalized distances to
+ the kernel points, in `[0,1]`.
+ sigma: A `float`, the normalized influence distance of the kernel points.
+
+ Returns:
+ A `float` `Tensor` of shape `[K, M]`.
+
+ """
+ return tf.nn.relu(1 - values / sigma)
+
+
+def _gaussian_weighting(values, sigma):
+ """ Gaussian kernel weights for KP Conv.
+
+ Args:
+ values: A `float` `Tensor` of shape `[K, M]`, the normalized distances to
+ the kernel points, in `[0,1]`.
+ sigma: A `float`, the normalized influence distance of the kernel points.
+
+ Returns:
+ A `float` `Tensor` of shape `[K, M]`.
+
+ """
+ sigma = sigma / 3
+ return tf.exp(-(values / sigma)**2)
+
+kernel_interpolation = {'linear': _linear_weighting,
+ 'gaussian': _gaussian_weighting}
+
+
+class KPConv(tf.Module):
+ """ A Kernel Point Convolution for 3D point clouds.
+
+ Based on the paper [KPConv: Flexible and Deformable Convolution for Point
+ Clouds. Thomas et al., 2019](https://arxiv.org/abs/1904.08889).
+
+ Note: To use this layer for point clouds with arbitrary dimension `D`,
+ pass initial kernel points of dimension `D` using `custom_kernel_points`.
+
+ Args:
+ num_features_in: An `int`, `C_in`, the number of features per input point.
+ num_features_out: An `int`, `C_out`, the number of features to compute.
+ num_kernel_points: An ìnt`, the number of points for representing the
+ kernel, default is `15`. (optional)
+ num_dims: An `int`, the dimensionality of the point cloud. Defaults to `3`.
+ (optional)
+ deformable: A 'bool', indicating whether to use rigid or deformable kernel
+ points, default is `False`. (optional)
+ kp_interpolation: A `string`, either `'linear'`(default) or `'gaussian'`.
+ (optional)
+ custom_kernel_points: A `float` `Tensor` of shape `[K, D]`, to pass custom
+ kernel points. (optional)
+ initializer_weights: A `tf.initializer` for the weights,
+ default `TruncatedNormal`. (optional)
+
+ Raises:
+ ValueError, if no custom kernel points are passed for dimension not equal
+ to 3.
+
+ """
+
+ def __init__(self,
+ num_features_in,
+ num_features_out,
+ num_kernel_points=15,
+ num_dims=3,
+ deformable=False,
+ kp_interpolation='linear',
+ custom_kernel_points=None,
+ initializer_weights=None,
+ name=None):
+
+ super().__init__(name=name)
+
+ self._num_features_in = num_features_in
+ self._num_features_out = num_features_out
+ self._num_kernel_points = num_kernel_points
+ self._deformable = deformable
+ self._weighting = kernel_interpolation[kp_interpolation]
+ self._num_dims = num_dims
+ if name is None:
+ self._name = 'KPConv'
+ else:
+ self._name = name
+
+ if num_dims != 3 and custom_kernel_points is None:
+ raise ValueError(
+ "For dimension not 3 custom kernel points must be provided!")
+
+ # initialize kernel points
+ if custom_kernel_points is None:
+ self._kernel_points = spherical_kernel_points(num_kernel_points,
+ rotate=True)
+ else:
+ self._kernel_points = tf.convert_to_tensor(value=custom_kernel_points,
+ dtype=tf.float32)
+
+ # Reposition the points at radius 0.75.
+ self._kernel_points = self._kernel_points * 0.75
+
+ # initialize variables
+ if initializer_weights is None:
+ initializer_weights = tf.initializers.GlorotNormal
+
+ weights_init_obj = initializer_weights()
+
+ if deformable:
+ self._kernel_offsets_weights = \
+ tf.Variable(
+ weights_init_obj(shape=[
+ self._num_kernel_points * self._num_features_in,
+ self._num_kernel_points * self._num_dims],
+ dtype=tf.float32),
+ trainable=True,
+ name=self._name + "/weights_deformable")
+ self._get_offsets = self._kernel_offsets
+ else:
+ def _zero(*args, **kwargs):
+ """ Replaces `_get_offsets` with zeros for rigid KPConv.
+ """
+ return tf.constant(0.0, dtype=tf.float32)
+ self._get_offsets = _zero
+
+ self._weights = \
+ tf.Variable(
+ weights_init_obj(shape=[
+ self._num_kernel_points * self._num_features_in,
+ self._num_features_out],
+ dtype=tf.float32),
+ trainable=True,
+ name=self._name + "/conv_weights")
+
+ def _kp_conv(self,
+ kernel_input,
+ neighborhood,
+ features):
+ """ Method to compute a kernel point convolution using linear interpolation
+ of the kernel weights.
+
+ Note: In the following
+ `D` is the dimensionality of the points cloud (=3)
+ `M` is the number of neighbor pairs
+ 'C1`is the number of input features
+ `C2` is the number of output features
+ `N1' is the number of input points
+ `N2' is the number of ouput points
+
+ Args:
+ kernel_inputs: A `float` `Tensor` of shape `[M, D]`, the input to the
+ kernel, i.e. the distances between neighbor pairs.
+ neighborhood: A `Neighborhood` instance.
+ features: A `float` `Tensor` of shape `[N1, C1]`, the input features.
+
+ Returns:
+ A `float` `Tensor` of shape `[N2, C2]`, the output features.
+
+ """
+ # neighbor pairs ids
+ neighbors = neighborhood._original_neigh_ids
+ # kernel weights from distances, shape [M, K]
+ kernel_offsets = self._get_offsets(kernel_input, neighborhood, features)
+ points_diff = tf.expand_dims(kernel_input, 1) - \
+ (tf.expand_dims(self._kernel_points, 0) + kernel_offsets)
+ points_dist = tf.linalg.norm(points_diff, axis=2)
+ kernel_weights = self._weighting(points_dist, self._sigma)
+
+ # Pad zeros to fullfil requirements of the basis_proj custom op,
+ # 8, 16, 32, or 64 basis are allowed.
+ if self._num_kernel_points < 8:
+ kernel_weights = tf.pad(kernel_weights,
+ [[0, 0], [0, 8 - self._num_kernel_points]])
+ elif self._num_kernel_points > 8 and self._num_kernel_points < 16:
+ kernel_weights = tf.pad(kernel_weights,
+ [[0, 0], [0, 16 - self._num_kernel_points]])
+ elif self._num_kernel_points > 16 and self._num_kernel_points < 32:
+ kernel_weights = tf.pad(kernel_weights,
+ [[0, 0], [0, 32 - self._num_kernel_points]])
+ elif self._num_kernel_points > 32 and self._num_kernel_points < 64:
+ kernel_weights = tf.pad(kernel_weights,
+ [[0, 0], [0, 64 - self._num_kernel_points]])
+
+ # save values for regularization loss computation
+ self._cur_point_dist = points_dist
+ self._cur_neighbors = neighbors
+
+ # Compute the projection to the samples.
+ weighted_features = basis_proj(
+ kernel_weights,
+ features,
+ neighborhood)
+ # remove padding
+ weighted_features = weighted_features[:, :, 0:self._num_kernel_points]
+
+ #Compute convolution - hidden layer to output (linear)
+ convolution_result = tf.matmul(
+ tf.reshape(weighted_features,
+ [-1, self._num_features_in * self._num_kernel_points]),
+ self._weights)
+
+ return convolution_result
+
+ def __call__(self,
+ features,
+ point_cloud_in: PointCloud,
+ point_cloud_out: PointCloud,
+ conv_radius,
+ neighborhood=None,
+ kernel_influence_dist=None,
+ return_sorted=False,
+ return_padded=False,
+ name=None):
+ """ Computes the Kernel Point Convolution between two point clouds.
+
+ Note:
+ In the following, `A1` to `An` are optional batch dimensions.
+ `C_in` is the number of input features.
+ `C_out` is the number of output features.
+
+ Args:
+ features: A `float` `Tensor` of shape `[N1, C_in]` or
+ `[A1, ..., An,V, C_in]`.
+ point_cloud_in: A 'PointCloud' instance, on which the features are
+ defined.
+ point_cloud_out: A `PointCloud` instance, on which the output
+ features are defined.
+ conv_radius: A `float`, the convolution radius.
+ neighborhood: A `Neighborhood` instance, defining the neighborhood
+ with centers from `point_cloud_out` and neighbors in `point_cloud_in`.
+ If `None` it is computed internally. (optional)
+ kernel_influence_dist = A `float`, the influence distance of the kernel
+ points. If `None` uses `conv_radius / 2.5`, as suggested in Section 3.3
+ of the paper. (optional)
+ return_sorted: A `boolean`, if `True` the output tensor is sorted
+ according to the batch_ids. (optional)
+ return_padded: A `bool`, if 'True' the output tensor is sorted and
+ zero padded. (optional)
+
+ Returns:
+ A `float` `Tensor` of shape
+ `[N2, C_out]`, if `return_padded` is `False`
+ or
+ `[A1, ..., An, V_out, C_out]`, if `return_padded` is `True`.
+
+ """
+
+ features = tf.cast(tf.convert_to_tensor(value=features),
+ dtype=tf.float32)
+ features = _flatten_features(features, point_cloud_in)
+ self._num_output_points = point_cloud_out._points.shape[0]
+
+ if kernel_influence_dist is None:
+ # normalized
+ self._sigma = tf.constant(1.0)
+ else:
+ self._sigma = tf.convert_to_tensor(
+ value=kernel_influence_dist / conv_radius, dtype=tf.float32)
+ #Create the radii tensor.
+ conv_radius = tf.reshape(tf.convert_to_tensor(value=conv_radius,
+ dtype=tf.float32),
+ [1, 1])
+ radii_tensor = tf.repeat(conv_radius, self._num_dims)
+
+ if neighborhood is None:
+ #Compute the grid
+ grid = Grid(point_cloud_in, radii_tensor)
+ #Compute the neighborhoods
+ neigh = Neighborhood(grid, radii_tensor, point_cloud_out)
+ else:
+ neigh = neighborhood
+
+ #Compute kernel inputs.
+ neigh_point_coords = tf.gather(
+ point_cloud_in._points, neigh._original_neigh_ids[:, 0])
+ center_point_coords = tf.gather(
+ point_cloud_out._points, neigh._original_neigh_ids[:, 1])
+ points_diff = (neigh_point_coords - center_point_coords) / \
+ tf.reshape(radii_tensor, [1, self._num_dims])
+ #Compute Monte-Carlo convolution
+ convolution_result = self._kp_conv(points_diff, neigh, features)
+ return _format_output(convolution_result,
+ point_cloud_out,
+ return_sorted,
+ return_padded)
+
+ def _kernel_offsets(self,
+ kernel_input,
+ neighborhood,
+ features):
+ """ Method to compute the kernel offsets for deformable KPConv
+ using a rigid KPConv.
+
+ As described in Section 3.2 of [KPConv: Flexible and Deformable Convolution
+ for Point Clouds. Thomas et al., 2019](https://arxiv.org/abs/1904.08889).
+
+ Note: In the following
+ `D` is the dimensionality of the point cloud (=3)
+ `M` is the number of neighbor pairs
+ 'C1`is the number of input features
+ `N1' is the number of input points
+ `N2' is the number of ouput points
+ `K` is the number of kernel points
+
+ Args:
+ kernel_inputs: A `float` `Tensor` of shape `[M, D]`, the input to the
+ kernel, i.e. the distances between neighbor pairs.
+ neighborhood: A `Neighborhood` instance.
+ features: A `float` `Tensor` of shape `[N1, C1]`, the input features.
+
+ Returns:
+ A `float` `Tensor` of shape `[K, M, D]`, the offsets.
+
+ """
+ # neighbor pairs ids
+ neighbors = neighborhood._original_neigh_ids
+ # kernel weights from distances, shape [M, K]
+ points_diff = tf.expand_dims(kernel_input, 1) - \
+ tf.expand_dims(self._kernel_points, 0)
+ points_dist = tf.linalg.norm(points_diff, axis=2)
+ kernel_weights = self._weighting(points_dist, self._sigma)
+
+ # Pad zeros to fullfil requirements of the basis_proj custom op,
+ # 8, 16, or 32 basis are allowed.
+ if self._num_kernel_points < 8:
+ kernel_weights = tf.pad(kernel_weights,
+ [[0, 0], [0, 8 - self._num_kernel_points]])
+ elif self._num_kernel_points > 8 and self._num_kernel_points < 16:
+ kernel_weights = tf.pad(kernel_weights,
+ [[0, 0], [0, 16 - self._num_kernel_points]])
+ elif self._num_kernel_points > 16 and self._num_kernel_points < 32:
+ kernel_weights = tf.pad(kernel_weights,
+ [[0, 0], [0, 32 - self._num_kernel_points]])
+ elif self._num_kernel_points > 32 and self._num_kernel_points < 64:
+ kernel_weights = tf.pad(kernel_weights,
+ [[0, 0], [0, 64 - self._num_kernel_points]])
+
+ # Compute the projection to the samples.
+ weighted_features = basis_proj(
+ kernel_weights,
+ features,
+ neighborhood)
+ # remove padding
+ weighted_features = weighted_features[:, :, 0:self._num_kernel_points]
+
+ # Compute convolution - hidden layer to output (linear)
+ offset_per_center = tf.matmul(
+ tf.reshape(weighted_features,
+ [-1, self._num_features_in * self._num_kernel_points]),
+ self._kernel_offsets_weights)
+
+ # save for regularization loss computation
+ self._offsets = tf.reshape(offset_per_center, [self._num_output_points,
+ self._num_kernel_points,
+ self._num_dims])
+ # project back onto neighbor pairs, shape [M, D*K]
+ offset_per_nb = tf.gather(offset_per_center, neighbors[:, 1])
+ # reshape to shape [M, K, self._num_dims]
+ return tf.reshape(offset_per_nb,
+ [neighbors.shape[0],
+ self._num_kernel_points,
+ self._num_dims])
+
+ def regularization_loss(self, name=None):
+ """ The regularization loss for deformable kernel points.
+
+ As described in Section 3.2 of [KPConv: Flexible and Deformable Convolution
+ for Point Clouds. Thomas et al., 2019](https://arxiv.org/abs/1904.08889).
+
+ Returns:
+ A 'float`, the sum of repulsory and fitting loss.
+
+ """
+
+ # attractive loss, distances to closest points in each neighborhood
+ neighbors = self._cur_neighbors
+
+ # reshape to [M, K]
+ point_dist = (self._cur_point_dist / self._sigma)**2
+ min_dists_per_nbh = tf.math.unsorted_segment_min(point_dist,
+ neighbors[:, 1],
+ self._num_output_points)
+ loss_fit = tf.reduce_sum(min_dists_per_nbh)
+
+ # repulsive loss for kernel points with overlapping influence area.
+ kernel_offsets = self._offsets
+ # shape [N2, K, D]
+ kernel_points = tf.expand_dims(self._kernel_points, 0) + kernel_offsets
+ kernel_dists = tf.linalg.norm(tf.expand_dims(kernel_points, 1) - \
+ tf.expand_dims(kernel_points, 2),
+ axis=3)
+ kernel_weights = self._weighting(kernel_dists, self._sigma)
+ # set weight between same kernel point to zero
+ kernel_weights = tf.linalg.set_diag(kernel_weights,
+ tf.zeros([self._num_output_points,
+ self._num_kernel_points]))
+ loss_rep = tf.reduce_sum(kernel_weights)
+
+ return loss_fit + loss_rep
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/MCConv.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/MCConv.py
new file mode 100644
index 000000000..f21059a8d
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/MCConv.py
@@ -0,0 +1,278 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+"""Classes to Monte-Carlo point cloud convolutions"""
+
+import tensorflow as tf
+from pylib.pc.utils import _flatten_features
+
+from pylib.pc import PointCloud
+from pylib.pc import Grid
+from pylib.pc import Neighborhood
+from pylib.pc import KDEMode
+
+from pylib.pc.custom_ops import basis_proj
+from pylib.pc.layers.utils import _format_output
+
+non_linearity_types = {'relu': tf.nn.relu,
+ 'lrelu': tf.nn.leaky_relu,
+ 'leakyrelu': tf.nn.leaky_relu,
+ 'leaky_relu': tf.nn.leaky_relu,
+ 'elu': tf.nn.elu}
+
+
+class MCConv(tf.Module):
+ """ Monte-Carlo convolution for point clouds.
+
+ Based on the paper [Monte Carlo Convolution for Learning on Non-Uniformly
+ Sampled Point Clouds. Hermosilla et al., 2018]
+ (https://arxiv.org/abs/1806.01759).
+ Uses a multiple MLPs as convolution kernels.
+
+ Args:
+ num_features_in: An `int`, `C_in`, the number of features per input point.
+ num_features_out: An `int`, `C_out`, the number of features to compute.
+ num_dims: An `int`, the input dimension to the kernel MLP. Should be the
+ dimensionality of the point cloud.
+ num_mlps: An `int`, number of MLPs used to compute the output features.
+ Warning: num_features_out should be divisible by num_mlps.
+ mlp_size: An ìnt list`, list with the number of layers and hidden neurons
+ of the MLP used as kernel, defaults to `[8]`. (optional).
+ non_linearity_type: An `string`, specifies the type of the activation
+ function used inside the kernel MLP.
+ Possible: `'ReLU', 'lReLU', 'ELU'`, defaults to leaky ReLU. (optional)
+ initializer_weights: A `tf.initializer` for the kernel MLP weights,
+ default `TruncatedNormal`. (optional)
+ initializer_biases: A `tf.initializer` for the kernel MLP biases,
+ default: `zeros`. (optional)
+
+ """
+
+ def __init__(self,
+ num_features_in,
+ num_features_out,
+ num_dims,
+ num_mlps=4,
+ mlp_size=[8],
+ non_linearity_type='leaky_relu',
+ initializer_weights=None,
+ initializer_biases=None,
+ name=None):
+
+ super().__init__(name=name)
+
+ self._num_features_in = num_features_in
+ self._num_features_out = num_features_out
+ self._num_mlps = num_mlps
+ self._mlp_size = mlp_size
+ self._num_dims = num_dims
+ self._non_linearity_type = non_linearity_type
+
+ if num_features_out % num_mlps != 0:
+ raise ValueError(
+ "The number of output features must be divisible by the number" +
+ " of kernel MLPs")
+
+ if name is None:
+ self._name = 'MCConv'
+ else:
+ self._name = name
+
+ # initialize variables
+ if initializer_weights is None:
+ initializer_weights = tf.initializers.TruncatedNormal
+ if initializer_biases is None:
+ initializer_biases = tf.initializers.zeros
+
+ self._weights_tf = []
+ self._bias_tf = []
+ prev_num_inut = self._num_dims
+ for cur_layer_iter, cur_layer in enumerate(self._mlp_size):
+
+ if cur_layer_iter:
+ std_dev = tf.math.sqrt(1.0 / float(prev_num_inut))
+ else:
+ std_dev = tf.math.sqrt(2.0 / float(prev_num_inut))
+
+ weights_init_obj = initializer_weights(stddev=std_dev)
+ self._weights_tf.append(tf.Variable(
+ weights_init_obj(
+ shape=[self._num_mlps, prev_num_inut, cur_layer],
+ dtype=tf.float32),
+ trainable=True,
+ name=self._name + "/weights_" + str(cur_layer_iter)))
+
+ bias_init_obj = initializer_biases()
+ self._bias_tf.append(tf.Variable(
+ bias_init_obj(shape=[self._num_mlps, 1, cur_layer],
+ dtype=tf.float32),
+ trainable=True,
+ name=self._name + "/bias_" + str(cur_layer_iter)))
+ prev_num_inut = cur_layer
+
+ std_dev = tf.math.sqrt(2.0 / \
+ float(cur_layer * self._num_features_in))
+
+ weights_init_obj = initializer_weights(stddev=std_dev)
+ self._final_weights_tf = tf.Variable(
+ weights_init_obj(
+ shape=[
+ self._num_mlps,
+ cur_layer * self._num_features_in,
+ self._num_features_out // self._num_mlps],
+ dtype=tf.float32),
+ trainable=True,
+ name=self._name + "/final_weights_" + str(cur_layer_iter))
+
+ def _monte_carlo_conv(self,
+ kernel_inputs,
+ neighborhood,
+ pdf,
+ features,
+ non_linearity_type='leaky_relu'):
+ """ Method to compute a Monte-Carlo integrated convolution using multiple
+ MLPs as implicit convolution kernel functions.
+
+ Args:
+ kernel_inputs: A `float` `Tensor` of shape `[M, L]`, the input to the
+ kernel MLP.
+ neighborhood: A `Neighborhood` instance.
+ pdf: A `float` `Tensor` of shape `[M]`, the point densities.
+ features: A `float` `Tensor` of shape `[N, C1]`, the input features.
+ non_linearity_type: An `string`, specifies the type of the activation
+ function used inside the kernel MLP.
+ Possible: `'ReLU', 'leaky_ReLU', 'ELU'`, defaults to leaky ReLU.
+ (optional)
+
+ Returns:
+ A `float` `Tensor` of shape `[N,C2]`, the output features.
+
+ """
+
+ # Compute the hidden layer MLP
+ cur_inputs = tf.tile(tf.reshape(kernel_inputs, [1, -1, self._num_dims]),
+ [self._num_mlps, 1, 1])
+ for cur_layer_iter in range(len(self._weights_tf)):
+ cur_inputs = tf.matmul(cur_inputs, self._weights_tf[cur_layer_iter]) + \
+ self._bias_tf[cur_layer_iter]
+ cur_inputs = non_linearity_types[non_linearity_type.lower()](cur_inputs)
+ cur_inputs = tf.reshape(tf.transpose(cur_inputs, [1, 0, 2]),
+ [-1, self._mlp_size[-1] * self._num_mlps]) \
+ / tf.reshape(pdf, [-1, 1])
+
+ # Compute the projection to the samples.
+ weighted_features = basis_proj(
+ cur_inputs,
+ features,
+ neighborhood)
+
+ # Reshape features
+ weighted_features = tf.transpose(tf.reshape(weighted_features,
+ [-1, self._num_features_in,
+ self._num_mlps,
+ self._mlp_size[-1]]),
+ [2, 0, 1, 3])
+
+ #Compute convolution - hidden layer to output (linear)
+ convolution_result = tf.matmul(
+ tf.reshape(
+ weighted_features,
+ [self._num_mlps, -1, self._num_features_in * self._mlp_size[-1]]),
+ self._final_weights_tf)
+
+ return tf.reshape(tf.transpose(convolution_result, [1, 0, 2]),
+ [-1, self._num_features_out])
+
+ def __call__(self,
+ features,
+ point_cloud_in: PointCloud,
+ point_cloud_out: PointCloud,
+ radius,
+ neighborhood=None,
+ bandwidth=0.2,
+ return_sorted=False,
+ return_padded=False,
+ name=None):
+ """ Computes the Monte-Carlo Convolution between two point clouds.
+
+ Note:
+ In the following, `A1` to `An` are optional batch dimensions.
+ `C_in` is the number of input features.
+ `C_out` is the number of output features.
+
+ Args:
+ features: A `float` `Tensor` of shape `[N_in, C_in]` or
+ `[A1, ..., An,V, C_in]`.
+ point_cloud_in: A 'PointCloud' instance, on which the features are
+ defined.
+ point_cloud_out: A `PointCloud` instance, on which the output
+ features are defined.
+ radius: A `float`, the convolution radius.
+ neighborhood: A `Neighborhood` instance, defining the neighborhood
+ with centers from `point_cloud_out` and neighbors in `point_cloud_in`.
+ If `None` it is computed internally. (optional)
+ bandwidth: A `float`, the bandwidth used in the kernel density
+ estimation on the input point cloud. (optional)
+ return_sorted: A `boolean`, if `True` the output tensor is sorted
+ according to the batch_ids. (optional)
+ return_padded: A `bool`, if 'True' the output tensor is sorted and
+ zero padded. (optional)
+
+ Returns:
+ A `float` `Tensor` of shape
+ `[N_out, C_out]`, if `return_padded` is `False`
+ or
+ `[A1, ..., An, V_out, C_out]`, if `return_padded` is `True`.
+
+ """
+
+ features = tf.cast(tf.convert_to_tensor(value=features),
+ dtype=tf.float32)
+
+ tf.assert_equal(
+ tf.shape(features)[-1],
+ self._num_features_in)
+
+ features = _flatten_features(features, point_cloud_in)
+
+ #Create the radii tensor.
+ radius = tf.reshape(tf.convert_to_tensor(value=radius, dtype=tf.float32), [1, 1])
+ radii_tensor = tf.repeat(radius, self._num_dims)
+ #Create the bandwidth tensor.
+ bwTensor = tf.repeat(bandwidth, self._num_dims)
+
+ if neighborhood is None:
+ #Compute the grid
+ grid = Grid(point_cloud_in, radii_tensor)
+ #Compute the neighborhoods
+ neigh = Neighborhood(grid, radii_tensor, point_cloud_out)
+ else:
+ neigh = neighborhood
+ pdf = neigh.get_pdf(bandwidth=bwTensor, mode=KDEMode.constant)
+
+ #Compute kernel inputs.
+ neigh_point_coords = tf.gather(
+ point_cloud_in._points, neigh._original_neigh_ids[:, 0])
+ center_point_coords = tf.gather(
+ point_cloud_out._points, neigh._original_neigh_ids[:, 1])
+ points_diff = (neigh_point_coords - center_point_coords) / \
+ tf.reshape(radii_tensor, [1, self._num_dims])
+
+ #Compute Monte-Carlo convolution
+ convolution_result = self._monte_carlo_conv(
+ points_diff, neigh, pdf, features, self._non_linearity_type)
+
+ return _format_output(convolution_result,
+ point_cloud_out,
+ return_sorted,
+ return_padded)
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/PointConv.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/PointConv.py
new file mode 100644
index 000000000..1a9fa9452
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/PointConv.py
@@ -0,0 +1,281 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+"""Classes to for PointConv point cloud convolutions"""
+
+import tensorflow as tf
+from pylib.pc.utils import _flatten_features
+
+from pylib.pc import PointCloud
+from pylib.pc import Grid
+from pylib.pc import Neighborhood
+from pylib.pc import KDEMode
+
+from pylib.pc.custom_ops import basis_proj
+from pylib.pc.layers.utils import _format_output
+
+non_linearity_types = {'relu': tf.nn.relu,
+ 'lrelu': tf.nn.leaky_relu,
+ 'leakyrelu': tf.nn.leaky_relu,
+ 'leaky_relu': tf.nn.leaky_relu,
+ 'elu': tf.nn.elu}
+
+
+class PointConv(tf.Module):
+ """ Monte-Carlo convolution for point clouds.
+
+ Based on the paper [PointConv: Deep Convolutional Networks on 3D Point
+ Clouds. Wu et al., 2019](https://arxiv.org/abs/1811.07246).
+ Uses a single MLP with one hidden layer as convolution kernel.
+
+ Args:
+ num_features_in: An `int`, C_in, the number of features per input point.
+ num_features_out: An `int`, C_out, the number of features to compute.
+ num_dims: An `int`, the input dimension to the kernel MLP. Should be the
+ dimensionality of the point cloud.
+ size_hidden: An ìnt`, the number of neurons in the hidden layer of the
+ kernel MLP, must be in `[8, 16, 32]`, defaults to `32`. (optional).
+ non_linearity_type: An `string`, specifies the type of the activation
+ function used inside the kernel MLP.
+ Possible: `'ReLU', 'lReLU', 'ELU'`, defaults to leaky ReLU. (optional)
+ initializer_weights: A `tf.initializer` for the kernel MLP weights,
+ default `TruncatedNormal`. (optional)
+ initializer_biases: A `tf.initializer` for the kernel MLP biases,
+ default: `zeros`. (optional)
+
+ """
+
+ def __init__(self,
+ num_features_in,
+ num_features_out,
+ num_dims,
+ size_hidden=32,
+ non_linearity_type='relu',
+ initializer_weights=None,
+ initializer_biases=None,
+ name=None):
+
+ super().__init__(name=name)
+
+ self._num_features_in = num_features_in
+ self._num_features_out = num_features_out
+ self._size_hidden = size_hidden
+ self._num_dims = num_dims
+ self._non_linearity_type = non_linearity_type
+
+ if name is None:
+ self._name = 'PointConv'
+ else:
+ self._name = name
+
+ # initialize variables
+ if initializer_weights is None:
+ initializer_weights = tf.initializers.GlorotNormal
+ if initializer_biases is None:
+ initializer_biases = tf.initializers.zeros
+
+ # Hidden layer of the kernel.
+ weights_init_obj = initializer_weights()
+ self._basis_axis_tf = tf.Variable(
+ weights_init_obj(
+ shape=[self._num_dims, self._size_hidden],
+ dtype=tf.float32),
+ trainable=True,
+ name=self._name + "/hidden_vectors")
+
+ bias_init_obj = initializer_biases()
+ self._basis_bias_tf = tf.Variable(
+ bias_init_obj(
+ shape=[1, self._size_hidden],
+ dtype=tf.float32),
+ trainable=True,
+ name=self._name + "/hidden_bias")
+
+ # Convolution weights.
+ self._weights = tf.Variable(
+ weights_init_obj(
+ shape=[
+ self._size_hidden * self._num_features_in,
+ self._num_features_out],
+ dtype=tf.float32),
+ trainable=True,
+ name=self._name + "/conv_weights")
+
+ # Weights of the non-linear transform of the pdf.
+ self._weights_pdf = \
+ [tf.Variable(
+ weights_init_obj(
+ shape=[1, 16],
+ dtype=tf.float32),
+ trainable=True,
+ name=self._name + "/pdf_weights_1"),
+ tf.Variable(
+ weights_init_obj(
+ shape=[16, 1],
+ dtype=tf.float32),
+ trainable=True,
+ name=self._name + "/pdf_weights_2")]
+
+ self._biases_pdf = \
+ [tf.Variable(
+ bias_init_obj(
+ shape=[1, 16],
+ dtype=tf.float32),
+ trainable=True,
+ name=self._name + "/pdf_biases_1"),
+ tf.Variable(
+ bias_init_obj(
+ shape=[1, 1],
+ dtype=tf.float32),
+ trainable=True,
+ name=self._name + "/pdf_biases_2")]
+
+ def _point_conv(self,
+ kernel_inputs,
+ neighborhood,
+ pdf,
+ features,
+ non_linearity_type='relu'):
+ """ Method to compute a PointConv convolution using a single
+ MLP with one hidden layer as implicit convolution kernel function.
+
+ Args:
+ kernel_inputs: A `float` `Tensor` of shape `[M, L]`, the input to the
+ kernel MLP.
+ neighborhood: A `Neighborhood` instance.
+ pdf: A `float` `Tensor` of shape `[M]`, the point densities.
+ features: A `float` `Tensor` of shape `[N, C1]`, the input features.
+ non_linearity_type: An `string`, specifies the type of the activation
+ function used inside the kernel MLP.
+ Possible: `'ReLU', 'lReLU', 'ELU'`, defaults to leaky ReLU. (optional)
+
+ Returns:
+ A `float` `Tensor` of shape `[N,C2]`, the output features.
+
+ """
+
+ # Compute the hidden layer MLP
+ basis_neighs = tf.matmul(kernel_inputs, self._basis_axis_tf) + \
+ self._basis_bias_tf
+ basis_neighs = \
+ non_linearity_types[non_linearity_type.lower()](basis_neighs)
+
+ # Normalize the pdf
+ max_pdf = tf.math.unsorted_segment_max(
+ pdf,
+ neighborhood._original_neigh_ids[:, 1],
+ tf.shape(neighborhood._samples_neigh_ranges)[0])
+ neigh_max_pdfs = tf.gather(max_pdf, neighborhood._original_neigh_ids[:, 1])
+ cur_pdf = pdf / neigh_max_pdfs
+ cur_pdf = tf.reshape(cur_pdf, [-1, 1])
+
+ # Non-linear transform pdf
+ cur_pdf = tf.nn.relu(tf.matmul(cur_pdf, self._weights_pdf[0]) +\
+ self._biases_pdf[0])
+ cur_pdf = tf.matmul(cur_pdf, self._weights_pdf[1]) + self._biases_pdf[1]
+
+ # Scale features
+ basis_neighs = basis_neighs / cur_pdf
+
+ # Compute the projection to the samples.
+ weighted_features = basis_proj(
+ basis_neighs,
+ features,
+ neighborhood)
+
+ #Compute convolution - hidden layer to output (linear)
+ convolution_result = tf.matmul(
+ tf.reshape(weighted_features,
+ [-1, self._num_features_in * self._size_hidden]),
+ self._weights)
+
+ return convolution_result
+
+ def __call__(self,
+ features,
+ point_cloud_in: PointCloud,
+ point_cloud_out: PointCloud,
+ radius,
+ neighborhood=None,
+ bandwidth=0.2,
+ return_sorted=False,
+ return_padded=False,
+ name=None):
+ """ Computes the Monte-Carlo Convolution between two point clouds.
+
+ Note:
+ In the following, `A1` to `An` are optional batch dimensions.
+ `C_in` is the number of input features.
+ `C_out` is the number of output features.
+
+ Args:
+ features: A `float` `Tensor` of shape `[N_in, C_in]` or
+ `[A1, ..., An,V, C_in]`.
+ point_cloud_in: A 'PointCloud' instance, on which the features are
+ defined.
+ point_cloud_out: A `PointCloud` instance, on which the output
+ features are defined.
+ radius: A `float`, the convolution radius.
+ neighborhood: A `Neighborhood` instance, defining the neighborhood
+ with centers from `point_cloud_out` and neighbors in `point_cloud_in`.
+ If `None` it is computed internally. (optional)
+ bandwidth: A `float`, the bandwidth used in the kernel density
+ estimation on the input point cloud. (optional)
+ return_sorted: A `boolean`, if `True` the output tensor is sorted
+ according to the batch_ids. (optional)
+ return_padded: A `bool`, if 'True' the output tensor is sorted and
+ zero padded. (optional)
+
+ Returns:
+ A `float` `Tensor` of shape
+ `[N_out, C_out]`, if `return_padded` is `False`
+ or
+ `[A1, ..., An, V_out, C_out]`, if `return_padded` is `True`.
+
+ """
+
+ features = tf.cast(tf.convert_to_tensor(value=features),
+ dtype=tf.float32)
+ features = _flatten_features(features, point_cloud_in)
+
+ #Create the radii tensor.
+ radius = tf.reshape(tf.convert_to_tensor(value=radius, dtype=tf.float32), [1, 1])
+ radii_tensor = tf.repeat(radius, self._num_dims)
+
+ #Create the badnwidth tensor.
+ bwTensor = tf.repeat(bandwidth, self._num_dims)
+
+ if neighborhood is None:
+ #Compute the grid
+ grid = Grid(point_cloud_in, radii_tensor)
+ #Compute the neighborhoods
+ neigh = Neighborhood(grid, radii_tensor, point_cloud_out)
+ else:
+ neigh = neighborhood
+ pdf = neigh.get_pdf(bandwidth=bwTensor, mode=KDEMode.constant)
+
+ #Compute kernel inputs.
+ neigh_point_coords = tf.gather(
+ point_cloud_in._points, neigh._original_neigh_ids[:, 0])
+ center_point_coords = tf.gather(
+ point_cloud_out._points, neigh._original_neigh_ids[:, 1])
+ points_diff = (neigh_point_coords - center_point_coords)
+
+ #Compute PointConv convolution
+ convolution_result = self._point_conv(
+ points_diff, neigh, pdf, features, self._non_linearity_type)
+
+ return _format_output(convolution_result,
+ point_cloud_out,
+ return_sorted,
+ return_padded)
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/Pooling.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/Pooling.py
new file mode 100644
index 000000000..77fcb8e98
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/Pooling.py
@@ -0,0 +1,246 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+"""Classes for point cloud spatial pooling operations"""
+
+import tensorflow as tf
+from pylib.pc.utils import _flatten_features
+from pylib.pc.layers.utils import _format_output
+
+from pylib.pc import PointCloud
+from pylib.pc import Grid
+from pylib.pc import Neighborhood
+
+
+class GlobalMaxPooling:
+ """ Global max pooling on a point cloud.
+ """
+
+ def __call__(self,
+ features,
+ point_cloud: PointCloud,
+ return_padded=False,
+ name=None):
+ """ Performs a global max pooling on a point cloud.
+
+ Note:
+ In the following, `A1` to `An` are optional batch dimensions.
+
+ Args:
+ features: A tensor of shape `[N,C]` or `[A1,...,An,V,C]`.
+ point_cloud: A `PointCloud` instance.
+ return_padded: A `bool`, if `True` reshapes the output to match the
+ batch shape of `point_cloud`.
+
+ Returns:
+ A tensor of same type as `features` and of shape
+ `[B, C]`, if not `return_padded`
+ or
+ `[A1, ..., An, C]`, if `return_padded`
+
+ """
+ features = tf.convert_to_tensor(value=features)
+ features = _flatten_features(features, point_cloud)
+ features = tf.math.unsorted_segment_max(
+ features,
+ segment_ids=point_cloud._batch_ids,
+ num_segments=point_cloud._batch_size)
+ if return_padded:
+ shape = tf.concat((point_cloud._batch_shape, [-1]), axis=0)
+ features = tf.reshape(features, shape)
+ return features
+
+
+class GlobalAveragePooling:
+ """ Global average pooling on a point cloud.
+ """
+
+ def __call__(self,
+ features,
+ point_cloud: PointCloud,
+ return_padded=False,
+ name=None):
+ """ Performs a global average pooling on a point cloud
+
+ Note:
+ In the following, `A1` to `An` are optional batch dimensions.
+
+ Args:
+ features: A tensor of shape `[N, C]` or `[A1, ..., An, V, C]`.
+ point_cloud: A `PointCloud` instance.
+ return_padded: A `bool`, if `True` reshapes the output to match the
+ batch shape of `point_cloud`.
+
+ Returns:
+ A tensor of same type as `features` and of shape
+ `[B, C]`, if not `return_padded`
+ or
+ `[A1 ,..., An, C]`, if `return_padded`
+
+ """
+ features = tf.convert_to_tensor(value=features)
+ features = _flatten_features(features, point_cloud)
+ features = tf.math.unsorted_segment_mean(
+ features,
+ segment_ids=point_cloud._batch_ids,
+ num_segments=point_cloud._batch_size)
+ if return_padded:
+ shape = tf.concat((point_cloud._batch_shape, [-1]), axis=0)
+ features = tf.reshape(features, shape)
+ return features
+
+
+class _LocalPointPooling:
+ """ Local point pooling between two point clouds.
+ """
+
+ def __call__(self,
+ pool_op,
+ features,
+ point_cloud_in: PointCloud,
+ point_cloud_out: PointCloud,
+ pooling_radius,
+ return_sorted=False,
+ return_padded=False,
+ name=None,
+ default_name="custom pooling"):
+ """ Computes a local pooling between two point clouds specified by `pool_op`.
+
+ Note:
+ In the following, `A1` to `An` are optional batch dimensions.
+
+ Args:
+ pool_op: A function of type `tf.math.unsorted_segmented_*`.
+ features: A `float` `Tensor` of shape `[N_in, C]` or
+ `[A1, ..., An, V_in, C]`.
+ point_cloud_in: A `PointCloud` instance on which the features are
+ defined.
+ point_cloud_out: A `PointCloud` instance, on which the output features
+ are defined.
+ pooling_radius: A `float` or a `float` `Tensor` of shape `[D]`.
+ return_sorted: A `bool`, if 'True' the output tensor is sorted
+ according to the sorted batch ids of `point_cloud_out`.
+ return_padded: A `bool`, if 'True' the output tensor is sorted and
+ zero padded.
+
+ Returns:
+ A `float` `Tensor` of shape
+ `[N_out, C]`, if `return_padded` is `False`
+ or
+ `[A1, ..., An, V_out, C]`, if `return_padded` is `True`.
+
+ """
+ features = tf.convert_to_tensor(value=features)
+ features = _flatten_features(features, point_cloud_in)
+ pooling_radius = tf.convert_to_tensor(
+ value=pooling_radius, dtype=tf.float32)
+ if pooling_radius.shape[0] == 1:
+ pooling_radius = tf.repeat(pooling_radius, point_cloud_in._dimension)
+
+ # Compute the grid.
+ grid_in = Grid(point_cloud_in, pooling_radius)
+
+ # Compute the neighborhood keys.
+ neigh = Neighborhood(grid_in, pooling_radius, point_cloud_out)
+ features_on_neighbors = tf.gather(
+ features, neigh._original_neigh_ids[:, 0])
+
+ # Pool the features in the neighborhoods
+ features_out = pool_op(
+ data=features_on_neighbors,
+ segment_ids=neigh._original_neigh_ids[:, 1],
+ num_segments=tf.shape(point_cloud_out._points)[0])
+ return _format_output(features_out,
+ point_cloud_out,
+ return_sorted,
+ return_padded)
+
+
+class MaxPooling(_LocalPointPooling):
+ """ Local max pooling between two point clouds.
+ """
+
+ def __call__(self,
+ features,
+ point_cloud_in: PointCloud,
+ point_cloud_out: PointCloud,
+ pooling_radius,
+ return_sorted=False,
+ return_padded=False,
+ name=None):
+ """ Computes a local max pooling between two point clouds.
+
+ Args:
+ features: A `float` `Tensor` of shape `[N_in, C]` or
+ `[A1, ..., An, V_in, C]`.
+ point_cloud_in: A `PointCloud` instance on which the features are
+ defined.
+ point_cloud_out: A `PointCloud` instance, on which the output features
+ are defined.
+ pooling_radius: A `float` or a `float` `Tensor` of shape [D].
+ return_sorted: A `bool`, if 'True' the output tensor is sorted
+ according to the sorted batch ids of `point_cloud_out`.
+ return_padded: A `bool`, if 'True' the output tensor is sorted and
+ zero padded.
+
+ Returns:
+ A `float` `Tensor` of shape
+ `[N_out, C]`, if `return_padded` is `False`
+ or
+ `[A1, ..., An, V_out, C]`, if `return_padded` is `True`.
+
+ """
+ return super(MaxPooling, self).__call__(
+ tf.math.unsorted_segment_max,
+ features, point_cloud_in, point_cloud_out, pooling_radius,
+ return_sorted, return_padded, name, default_name="max pooling")
+
+
+class AveragePooling(_LocalPointPooling):
+ """ Local average pooling between two point clouds.
+ """
+
+ def __call__(self,
+ features,
+ point_cloud_in: PointCloud,
+ point_cloud_out: PointCloud,
+ pooling_radius,
+ return_sorted=False,
+ return_padded=False,
+ name=None):
+ """ Computes a local average pooling between two point clouds.
+
+ Args:
+ features: A `float` `Tensor` of shape `[N_in, C]` or
+ `[A1, ..., An, V_in, C]`.
+ point_cloud_in: A `PointCloud` instance on which the features are
+ defined.
+ point_cloud_out: A `PointCloud` instance, on which the output features
+ are defined.
+ pooling_radius: A `float` or a `float` `Tensor` of shape `[D]`.
+ return_sorted: A boolean, if 'True' the output tensor is sorted
+ according to the sorted batch ids of `point_cloud_out`.
+ return_padded: A `bool`, if 'True' the output tensor is sorted and
+ zero padded.
+
+ Returns:
+ A `float` `Tensor` of shape
+ `[N_out, C]`, if `return_padded` is `False`
+ or
+ `[A1, ..., An, V_out, C]`, if `return_padded` is `True`.
+
+ """
+ return super(AveragePooling, self).__call__(
+ tf.math.unsorted_segment_mean,
+ features, point_cloud_in, point_cloud_out, pooling_radius,
+ return_sorted, return_padded, name, default_name="average pooling")
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/__init__.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/__init__.py
new file mode 100644
index 000000000..9cbacbbba
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/__init__.py
@@ -0,0 +1,25 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+"""Point cloud network layers"""
+
+from .Pooling import GlobalAveragePooling, GlobalMaxPooling
+from .Pooling import MaxPooling, AveragePooling
+from .Conv1x1 import Conv1x1
+
+from .MCConv import MCConv
+
+from .KPConv import KPConv
+from .PointConv import PointConv
+from .utils import spherical_kernel_points, \
+ cube_kernel_points
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/tests/__init__.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/tests/__init__.py
new file mode 100644
index 000000000..e69de29bb
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/tests/basis_proj_test.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/tests/basis_proj_test.py
new file mode 100644
index 000000000..07e6e68b6
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/tests/basis_proj_test.py
@@ -0,0 +1,180 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific
+"""Class to test basis projection kernel"""
+
+import os
+import sys
+import numpy as np
+import tensorflow as tf
+from absl.testing import parameterized
+from tensorflow_graphics.util import test_case
+
+from pylib.pc import PointCloud, Grid, Neighborhood, AABB
+from pylib.pc.tests import utils
+from pylib.pc.layers import MCConv
+from pylib.pc.custom_ops import basis_proj
+
+
+class BasisProjTest(test_case.TestCase):
+
+ @parameterized.parameters(
+ (200, 20, [3, 3], 16, 0.7, 8, 2),
+ (400, 40, [3, 3], 8, np.sqrt(2), 8, 2),
+ (200, 20, [1, 3], 16, 0.7, 8, 3),
+ (400, 40, [3, 3], 8, 0.7, 8, 3),
+ (400, 10, [3, 1], 1, np.sqrt(3), 16, 3),
+ (200, 20, [3, 3], 16, 0.7, 8, 4),
+ (400, 40, [1, 3], 8, np.sqrt(4), 32, 4)
+ )
+ def test_basis_proj(self,
+ num_points,
+ num_samples,
+ num_features,
+ batch_size,
+ radius,
+ hidden_size,
+ dimension):
+ cell_sizes = np.float32(np.repeat(radius, dimension))
+ points, batch_ids = utils._create_random_point_cloud_segmented(
+ batch_size, num_points, dimension=dimension)
+ features = np.random.rand(num_points, num_features[0])
+ point_cloud = PointCloud(points, batch_ids)
+
+ point_samples, batch_ids_samples = \
+ utils._create_random_point_cloud_segmented(
+ batch_size, num_samples, dimension=dimension)
+
+ point_cloud_samples = PointCloud(point_samples, batch_ids_samples)
+ grid = Grid(point_cloud, cell_sizes)
+ neighborhood = Neighborhood(grid, cell_sizes, point_cloud_samples)
+ nb_ids = neighborhood._original_neigh_ids
+ # tf
+ conv_layer = MCConv(
+ num_features[0], num_features[1], dimension, 1, [hidden_size])
+
+ basis_weights_tf = tf.reshape(conv_layer._weights_tf[0],
+ [dimension, hidden_size])
+ basis_biases_tf = tf.reshape(conv_layer._bias_tf[0], [1, hidden_size])
+
+ neigh_point_coords = points[nb_ids[:, 0]]
+ center_point_coords = point_samples[nb_ids[:, 1]]
+ kernel_input = (neigh_point_coords - center_point_coords) / radius
+ basis_neighs = \
+ tf.matmul(kernel_input.astype(np.float32), basis_weights_tf) + \
+ basis_biases_tf
+ basis_neighs = tf.nn.relu(basis_neighs)
+
+ weighted_latent_per_sample_tf = basis_proj(basis_neighs,
+ features,
+ neighborhood)
+
+ # numpy
+ neighbor_ids = neighborhood._original_neigh_ids.numpy()
+ nb_ranges = neighborhood._samples_neigh_ranges.numpy()
+ # extract variables
+ hidden_weights = basis_weights_tf.numpy()
+ hidden_biases = basis_biases_tf.numpy()
+
+ features_on_neighbors = features[neighbor_ids[:, 0]]
+ # compute first layer of kernel MLP
+ point_diff = (points[neighbor_ids[:, 0]] -\
+ point_samples[neighbor_ids[:, 1]])\
+ / np.expand_dims(cell_sizes, 0)
+
+ latent_per_nb = np.dot(point_diff, hidden_weights) + hidden_biases
+
+ latent_relu_per_nb = np.maximum(latent_per_nb, 0)
+ # Monte-Carlo integration after first layer
+ # weighting with pdf
+ weighted_features_per_nb = np.expand_dims(features_on_neighbors, 2) * \
+ np.expand_dims(latent_relu_per_nb, 1)
+ nb_ranges = np.concatenate(([0], nb_ranges), axis=0)
+ # sum (integration)
+ weighted_latent_per_sample = \
+ np.zeros([num_samples, num_features[0], hidden_size])
+ for i in range(num_samples):
+ weighted_latent_per_sample[i] = \
+ np.sum(weighted_features_per_nb[nb_ranges[i]:nb_ranges[i + 1]],
+ axis=0)
+
+ self.assertAllClose(weighted_latent_per_sample_tf,
+ weighted_latent_per_sample)
+
+ @parameterized.parameters(
+ (8, 4, [8, 8], 2, np.sqrt(3) * 1.25, 8, 3)
+ )
+ def test_basis_proj_jacobian(self,
+ num_points,
+ num_samples,
+ num_features,
+ batch_size,
+ radius,
+ hidden_size,
+ dimension):
+ cell_sizes = np.float32(np.repeat(radius, dimension))
+ points, batch_ids = utils._create_random_point_cloud_segmented(
+ batch_size, num_points, dimension=dimension)
+ features = np.random.rand(num_points, num_features[0])
+ point_cloud = PointCloud(points, batch_ids)
+
+ point_samples, batch_ids_samples = \
+ utils._create_random_point_cloud_segmented(
+ batch_size, num_samples, dimension=dimension)
+
+ point_cloud_samples = PointCloud(point_samples, batch_ids_samples)
+ grid = Grid(point_cloud, cell_sizes)
+ neighborhood = Neighborhood(grid, cell_sizes, point_cloud_samples)
+ nb_ids = neighborhood._original_neigh_ids
+ # tf
+ conv_layer = MCConv(
+ num_features[0], num_features[1], dimension, 1, [hidden_size])
+
+ neigh_point_coords = points[nb_ids[:, 0].numpy()]
+ center_point_coords = point_samples[nb_ids[:, 1].numpy()]
+ kernel_input = (neigh_point_coords - center_point_coords) / radius
+
+ basis_weights_tf = tf.reshape(conv_layer._weights_tf[0],
+ [dimension, hidden_size])
+ basis_biases_tf = tf.reshape(conv_layer._bias_tf[0], [1, hidden_size])
+
+ basis_neighs = \
+ tf.matmul(kernel_input.astype(np.float32), basis_weights_tf) +\
+ basis_biases_tf
+ basis_neighs = tf.nn.leaky_relu(basis_neighs)
+
+ _, _, counts = tf.unique_with_counts(neighborhood._neighbors[:, 1])
+ max_num_nb = tf.reduce_max(counts).numpy()
+
+ with self.subTest(name='features'):
+ def basis_proj_features(features_in):
+ return basis_proj(basis_neighs,
+ features_in,
+ neighborhood) / (max_num_nb)
+
+ self.assert_jacobian_is_correct_fn(
+ basis_proj_features, [np.float32(features)], atol=1e-4, delta=1e-3)
+
+ with self.subTest(name='neigh_basis'):
+ def basis_proj_basis_neighs(basis_neighs_in):
+ return basis_proj(basis_neighs_in,
+ features,
+ neighborhood) / (max_num_nb)
+
+ self.assert_jacobian_is_correct_fn(
+ basis_proj_basis_neighs,
+ [np.float32(basis_neighs)],
+ atol=1e-4, delta=1e-3)
+
+
+if __name__ == '__main___':
+ test_case.main()
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/tests/conv1x1_test.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/tests/conv1x1_test.py
new file mode 100644
index 000000000..6148348dc
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/tests/conv1x1_test.py
@@ -0,0 +1,47 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific
+"""Class to test pooling layers"""
+
+import os
+import sys
+import numpy as np
+import tensorflow as tf
+from absl.testing import parameterized
+from tensorflow_graphics.util import test_case
+
+from pylib.pc import PointCloud, Grid, Neighborhood, AABB
+from pylib.pc.tests import utils
+from pylib.pc.layers import Conv1x1
+
+
+class Conv1x1Test(test_case.TestCase):
+
+ @parameterized.parameters(
+ (1000, 4, [3, 3], 3),
+ (1000, 4, [3, 1], 3),
+ (1000, 4, [1, 3], 3),
+ )
+ def test_conv1x1(self, num_points, batch_size, feature_sizes, dimension):
+ points, batch_ids = utils._create_random_point_cloud_segmented(
+ batch_size, num_points * batch_size, dimension=dimension,
+ equal_sized_batches=True)
+ features = np.random.rand(batch_size, num_points, feature_sizes[0])
+ point_cloud = PointCloud(points, batch_ids)
+
+ conv_layer = Conv1x1(feature_sizes[0], feature_sizes[1])
+ result = conv_layer(features, point_cloud)
+ self.assertTrue(result.shape[-1] == feature_sizes[1])
+
+
+if __name__ == '__main___':
+ test_case.main()
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/tests/kernel_point_conv_test.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/tests/kernel_point_conv_test.py
new file mode 100644
index 000000000..979aec991
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/tests/kernel_point_conv_test.py
@@ -0,0 +1,259 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific
+"""Class to test kernel point convolutions"""
+
+import os
+import sys
+import numpy as np
+import tensorflow as tf
+from absl.testing import parameterized
+from tensorflow_graphics.util import test_case
+
+from pylib.pc import PointCloud, Grid, Neighborhood, KDEMode, AABB
+from pylib.pc.tests import utils
+from pylib.pc.layers import KPConv
+
+
+class KPConvTest(test_case.TestCase):
+
+ @parameterized.parameters(
+ (200, 20, [1, 3], 16, 0.7, 5, 3),
+ (400, 40, [3, 3], 8, 0.7, 5, 3),
+ (400, 10, [3, 1], 1, np.sqrt(3), 5, 3),
+ )
+ def test_convolution(self,
+ num_points,
+ num_samples,
+ num_features,
+ batch_size,
+ radius,
+ num_kernel_points,
+ dimension):
+ cell_sizes = np.float32(np.repeat(radius, dimension))
+ points, batch_ids = utils._create_random_point_cloud_segmented(
+ batch_size, num_points, dimension=dimension)
+ features = np.random.rand(num_points, num_features[0])
+ point_cloud = PointCloud(points, batch_ids)
+
+ point_samples, batch_ids_samples = \
+ utils._create_random_point_cloud_segmented(
+ batch_size, num_samples, dimension=dimension)
+
+ point_cloud_samples = PointCloud(point_samples, batch_ids_samples)
+ grid = Grid(point_cloud, cell_sizes)
+ neighborhood = Neighborhood(grid, cell_sizes, point_cloud_samples)
+ # tf
+ conv_layer = KPConv(
+ num_features[0], num_features[1], num_kernel_points)
+ conv_result_tf = conv_layer(
+ features, point_cloud, point_cloud_samples, radius, neighborhood)
+
+ # numpy
+ neighbor_ids = neighborhood._original_neigh_ids.numpy()
+ nb_ranges = neighborhood._samples_neigh_ranges.numpy()
+ nb_ranges = np.concatenate(([0], nb_ranges), axis=0)
+ kernel_points = conv_layer._kernel_points.numpy()
+ sigma = conv_layer._sigma.numpy()
+
+ # extract variables
+ weights = conv_layer._weights.numpy()
+
+ features_on_neighbors = features[neighbor_ids[:, 0]]
+ # compute distances to kernel points
+ point_diff = (points[neighbor_ids[:, 0]] -\
+ point_samples[neighbor_ids[:, 1]])\
+ / np.expand_dims(cell_sizes, 0)
+ kernel_point_diff = np.expand_dims(point_diff, axis=1) -\
+ np.expand_dims(kernel_points, axis=0)
+ distances = np.linalg.norm(kernel_point_diff, axis=2)
+ # compute linear interpolation weights for features based on distances
+ kernel_weights = np.maximum(1 - (distances / sigma), 0)
+ weighted_features = np.expand_dims(features_on_neighbors, axis=2) *\
+ np.expand_dims(kernel_weights, axis=1)
+ # sum over neighbors (integration)
+ weighted_features_per_sample = \
+ np.zeros([num_samples, num_features[0], num_kernel_points])
+ for i in range(num_samples):
+ weighted_features_per_sample[i] = \
+ np.sum(weighted_features[nb_ranges[i]:nb_ranges[i + 1]],
+ axis=0)
+ # convolution with summation over kernel dimension
+ conv_result_np = \
+ np.matmul(
+ weighted_features_per_sample.reshape(
+ -1,
+ num_features[0] * num_kernel_points),
+ weights)
+
+ self.assertAllClose(conv_result_tf, conv_result_np, atol=1e-5)
+
+ @parameterized.parameters(
+ (8, 4, [8, 8], 2, np.sqrt(3) * 1.25, 15, 3)
+ )
+ def test_conv_rigid_jacobian_params(self,
+ num_points,
+ num_samples,
+ num_features,
+ batch_size,
+ radius,
+ num_kernel_points,
+ dimension):
+ cell_sizes = np.float32(np.repeat(radius, dimension))
+ points, batch_ids = utils._create_random_point_cloud_segmented(
+ batch_size, num_points, dimension=dimension)
+ point_cloud = PointCloud(points, batch_ids)
+ point_samples, batch_ids_samples = \
+ utils._create_random_point_cloud_segmented(
+ batch_size, num_samples, dimension=dimension)
+
+ point_cloud_samples = PointCloud(point_samples, batch_ids_samples)
+ grid = Grid(point_cloud, cell_sizes)
+ neighborhood = Neighborhood(grid, cell_sizes, point_cloud_samples)
+ conv_layer = KPConv(
+ num_features[0], num_features[1], num_kernel_points)
+
+ features = np.random.rand(num_points, num_features[0])
+
+ with self.subTest(name='features'):
+ def conv_features(features_in):
+ conv_result = conv_layer(
+ features_in, point_cloud, point_cloud_samples, radius, neighborhood)
+ return conv_result
+
+ self.assert_jacobian_is_correct_fn(
+ conv_features, [features], atol=1e-3, delta=1e-3)
+
+ with self.subTest(name='weights'):
+ def conv_weights(weigths_in):
+ conv_layer._weights = weigths_in
+ conv_result = conv_layer(
+ features, point_cloud, point_cloud_samples, radius, neighborhood)
+ return conv_result
+
+ weights = conv_layer._weights
+ self.assert_jacobian_is_correct_fn(
+ conv_weights, [weights], atol=1e-3, delta=1e-3)
+
+ @parameterized.parameters(
+ (8, 4, [2, 2], 2, np.sqrt(3) * 1.25, 5, 3)
+ )
+ def test_conv_deformable_jacobian_params(self,
+ num_points,
+ num_samples,
+ num_features,
+ batch_size,
+ radius,
+ num_kernel_points,
+ dimension):
+ cell_sizes = np.float32(np.repeat(radius, dimension))
+ points, batch_ids = utils._create_random_point_cloud_segmented(
+ batch_size, num_points, dimension=dimension)
+ point_cloud = PointCloud(points, batch_ids)
+ point_samples, batch_ids_samples = \
+ utils._create_random_point_cloud_segmented(
+ batch_size, num_samples, dimension=dimension)
+
+ point_cloud_samples = PointCloud(point_samples, batch_ids_samples)
+ grid = Grid(point_cloud, cell_sizes)
+ neighborhood = Neighborhood(grid, cell_sizes, point_cloud_samples)
+ conv_layer = KPConv(
+ num_features[0], num_features[1], num_kernel_points, deformable=True)
+
+ features = np.random.rand(num_points, num_features[0])
+
+ with self.subTest(name='features'):
+ def conv_features(features_in):
+ conv_result = conv_layer(
+ features_in, point_cloud, point_cloud_samples, radius, neighborhood)
+ return conv_result
+
+ self.assert_jacobian_is_correct_fn(
+ conv_features, [features], atol=1e-3, delta=1e-3)
+
+ with self.subTest(name='weights'):
+ def conv_weights(weigths_in):
+ conv_layer._weights = weigths_in
+ conv_result = conv_layer(
+ features, point_cloud, point_cloud_samples, radius, neighborhood)
+ return conv_result
+
+ weights = conv_layer._weights
+ self.assert_jacobian_is_correct_fn(
+ conv_weights, [weights], atol=1e-3, delta=1e-3)
+
+ with self.subTest(name='offsets'):
+ def conv_offset_weights(weigths_in):
+ conv_layer._kernel_offsets_weights = weigths_in
+ conv_result = conv_layer(
+ features, point_cloud, point_cloud_samples, radius, neighborhood)
+ return conv_result
+
+ weights = conv_layer._kernel_offsets_weights
+ self.assert_jacobian_is_correct_fn(
+ conv_offset_weights, [weights], atol=1e-3, delta=1e-3)
+
+ with self.subTest(name='loss'):
+ def conv_loss(features):
+ _ = conv_layer(
+ features, point_cloud, point_cloud_samples, radius, neighborhood)
+ return conv_layer.regularization_loss()
+
+ weights = conv_layer._kernel_offsets_weights
+ self.assert_jacobian_is_correct_fn(
+ conv_loss, [features], atol=1e-3, delta=1e-2)
+
+ @parameterized.parameters(
+ (8, 4, [8, 8], 2, np.sqrt(3) * 1.25, 15, 3),
+ )
+ def test_conv_jacobian_points(self,
+ num_points,
+ num_samples,
+ num_features,
+ batch_size,
+ radius,
+ num_kernel_points,
+ dimension):
+ cell_sizes = np.float32(np.repeat(radius, dimension))
+ points, batch_ids = utils._create_random_point_cloud_segmented(
+ batch_size, num_points, dimension=dimension)
+ features = np.random.rand(num_points, num_features[0])
+
+ point_samples, batch_ids_samples = \
+ utils._create_random_point_cloud_segmented(
+ batch_size, num_samples, dimension=dimension)
+
+ point_cloud_samples = PointCloud(point_samples, batch_ids_samples)
+ point_cloud = PointCloud(points, batch_ids)
+ grid = Grid(point_cloud, cell_sizes)
+ neighborhood = Neighborhood(grid, cell_sizes, point_cloud_samples)
+ neighborhood.compute_pdf()
+
+ conv_layer = KPConv(
+ num_features[0], num_features[1], num_kernel_points)
+
+ def conv_points(points_in):
+ point_cloud._points = points_in
+ neighborhood._grid._sorted_points = \
+ tf.gather(points_in, grid._sorted_indices)
+
+ conv_result = conv_layer(
+ features, point_cloud, point_cloud_samples, radius, neighborhood)
+
+ return conv_result
+
+ self.assert_jacobian_is_correct_fn(
+ conv_points, [np.float32(points)], atol=1e-3, delta=1e-3)
+
+
+if __name__ == '__main___':
+ test_case.main()
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/tests/monte_carlo_conv_test.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/tests/monte_carlo_conv_test.py
new file mode 100644
index 000000000..ec2e2555b
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/tests/monte_carlo_conv_test.py
@@ -0,0 +1,223 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific
+"""Class to test Monte Carlo convolutions"""
+
+import os
+import sys
+import numpy as np
+import tensorflow as tf
+from absl.testing import parameterized
+from tensorflow_graphics.util import test_case
+
+from pylib.pc import PointCloud, Grid, Neighborhood, KDEMode, AABB
+from pylib.pc.tests import utils
+from pylib.pc.layers import MCConv
+
+
+class MCConvTest(test_case.TestCase):
+
+ @parameterized.parameters(
+ (2000, 200, [3, 3], 16, 0.7, 8, 2),
+ (4000, 400, [3, 3], 8, np.sqrt(2), 8, 2),
+ (2000, 200, [1, 3], 16, 0.7, 8, 3),
+ (4000, 400, [3, 3], 8, 0.7, 8, 3),
+ (4000, 100, [3, 1], 1, np.sqrt(3), 16, 3),
+ (2000, 200, [3, 3], 16, 0.7, 8, 4),
+ (4000, 400, [1, 3], 8, np.sqrt(4), 32, 4)
+ )
+ def test_convolution(self,
+ num_points,
+ num_samples,
+ num_features,
+ batch_size,
+ radius,
+ hidden_size,
+ dimension):
+ cell_sizes = np.float32(np.repeat(radius, dimension))
+ points, batch_ids = utils._create_random_point_cloud_segmented(
+ batch_size, num_points, dimension=dimension)
+ features = np.random.rand(num_points, num_features[0])
+ point_cloud = PointCloud(points, batch_ids)
+
+ point_samples, batch_ids_samples = \
+ utils._create_random_point_cloud_segmented(
+ batch_size, num_samples, dimension=dimension)
+
+ point_cloud_samples = PointCloud(point_samples, batch_ids_samples)
+ grid = Grid(point_cloud, cell_sizes)
+ neighborhood = Neighborhood(grid, cell_sizes, point_cloud_samples)
+ # tf
+ conv_layer = MCConv(
+ num_features[0], num_features[1], dimension, 1, [hidden_size],
+ non_linearity_type='relu')
+ conv_result_tf = conv_layer(
+ features, point_cloud, point_cloud_samples, radius, neighborhood)
+
+ # numpy
+ pdf = neighborhood.get_pdf().numpy()
+ neighbor_ids = neighborhood._original_neigh_ids.numpy()
+ nb_ranges = neighborhood._samples_neigh_ranges.numpy()
+
+ # extract variables
+ hidden_weights = \
+ tf.reshape(conv_layer._weights_tf[0], [dimension, hidden_size]).numpy()
+ hidden_biases = \
+ tf.reshape(conv_layer._bias_tf[0], [1, hidden_size]).numpy()
+ weights = \
+ tf.reshape(conv_layer._final_weights_tf,
+ [num_features[0] * hidden_size, num_features[1]]).numpy()
+
+ features_on_neighbors = features[neighbor_ids[:, 0]]
+ # compute first layer of kernel MLP
+ point_diff = (points[neighbor_ids[:, 0]] -\
+ point_samples[neighbor_ids[:, 1]])\
+ / np.expand_dims(cell_sizes, 0)
+
+ latent_per_nb = np.dot(point_diff, hidden_weights) + hidden_biases
+
+ latent_relu_per_nb = np.maximum(latent_per_nb, 0)
+
+ # Monte-Carlo integration after first layer
+ # weighting with pdf
+ weighted_features_per_nb = np.expand_dims(features_on_neighbors, 2) * \
+ np.expand_dims(latent_relu_per_nb, 1) / \
+ np.expand_dims(pdf, [1, 2])
+ nb_ranges = np.concatenate(([0], nb_ranges), axis=0)
+ # sum (integration)
+ weighted_latent_per_sample = \
+ np.zeros([num_samples, num_features[0], hidden_size])
+ for i in range(num_samples):
+ weighted_latent_per_sample[i] = \
+ np.sum(weighted_features_per_nb[nb_ranges[i]:nb_ranges[i + 1]],
+ axis=0)
+ # second layer of MLP (linear)
+ weighted_latent_per_sample = np.reshape(weighted_latent_per_sample,
+ [num_samples, -1])
+ conv_result_np = np.matmul(weighted_latent_per_sample, weights)
+
+ self.assertAllClose(conv_result_tf, conv_result_np)
+
+ @parameterized.parameters(
+ (8, 4, [8, 8], 2, np.sqrt(3) * 1.25, 8, 3)
+ )
+ def test_conv_jacobian_params(self,
+ num_points,
+ num_samples,
+ num_features,
+ batch_size,
+ radius,
+ hidden_size,
+ dimension):
+ cell_sizes = np.float32(np.repeat(radius, dimension))
+ points, batch_ids = utils._create_random_point_cloud_segmented(
+ batch_size, num_points, dimension=dimension)
+ point_cloud = PointCloud(points, batch_ids)
+ point_samples, batch_ids_samples = \
+ utils._create_random_point_cloud_segmented(
+ batch_size, num_samples, dimension=dimension)
+
+ point_cloud_samples = PointCloud(point_samples, batch_ids_samples)
+ grid = Grid(point_cloud, cell_sizes)
+ neighborhood = Neighborhood(grid, cell_sizes, point_cloud_samples)
+ conv_layer = MCConv(
+ num_features[0], num_features[1], dimension, 1, [hidden_size])
+
+ features = np.random.rand(num_points, num_features[0])
+
+ with self.subTest(name='features'):
+ def conv_features(features_in):
+ conv_result = conv_layer(
+ features_in, point_cloud, point_cloud_samples, radius, neighborhood)
+ return conv_result
+
+ self.assert_jacobian_is_correct_fn(
+ conv_features, [features], atol=1e-4, delta=1e-3)
+
+ with self.subTest(name='params_basis_axis_proj'):
+ def conv_basis(weights_tf_in):
+ conv_layer._weights_tf[0] = weights_tf_in
+ conv_result = conv_layer(
+ features, point_cloud, point_cloud_samples, radius, neighborhood)
+ return conv_result
+
+ weights_tf = conv_layer._weights_tf[0]
+ self.assert_jacobian_is_correct_fn(
+ conv_basis, [weights_tf], atol=1e-4, delta=1e-3)
+
+ with self.subTest(name='params_basis_bias_proj'):
+ def conv_basis(bias_tf_in):
+ conv_layer._bias_tf[0] = bias_tf_in
+ conv_result = conv_layer(
+ features, point_cloud, point_cloud_samples, radius, neighborhood)
+ return conv_result
+
+ bias_tf = conv_layer._bias_tf[0]
+ self.assert_jacobian_is_correct_fn(
+ conv_basis, [bias_tf], atol=1e-4, delta=1e-4)
+
+ with self.subTest(name='params_second_layer'):
+ def conv_weights(weigths_in):
+ conv_layer._final_weights_tf = weigths_in
+ conv_result = conv_layer(
+ features, point_cloud, point_cloud_samples, radius, neighborhood)
+ return conv_result
+
+ weights = conv_layer._final_weights_tf
+ self.assert_jacobian_is_correct_fn(
+ conv_weights, [weights], atol=1e-4, delta=1e-3)
+
+ @parameterized.parameters(
+ (8, 4, [8, 8], 2, np.sqrt(3) * 1.25, 8, 3),
+ )
+ def test_conv_jacobian_points(self,
+ num_points,
+ num_samples,
+ num_features,
+ batch_size,
+ radius,
+ hidden_size,
+ dimension):
+ cell_sizes = np.float32(np.repeat(radius, dimension))
+ points, batch_ids = utils._create_random_point_cloud_segmented(
+ batch_size, num_points, dimension=dimension)
+ features = np.random.rand(num_points, num_features[0])
+
+ point_samples, batch_ids_samples = \
+ utils._create_random_point_cloud_segmented(
+ batch_size, num_samples, dimension=dimension)
+
+ point_cloud_samples = PointCloud(point_samples, batch_ids_samples)
+ point_cloud = PointCloud(points, batch_ids)
+ grid = Grid(point_cloud, cell_sizes)
+ neighborhood = Neighborhood(grid, cell_sizes, point_cloud_samples)
+ neighborhood.compute_pdf()
+
+ conv_layer = MCConv(
+ num_features[0], num_features[1], dimension, 1, [hidden_size], 'elu')
+
+ def conv_points(points_in):
+ point_cloud._points = points_in
+ neighborhood._grid._sorted_points = \
+ tf.gather(points_in, grid._sorted_indices)
+
+ conv_result = conv_layer(
+ features, point_cloud, point_cloud_samples, radius, neighborhood)
+
+ return conv_result
+
+ self.assert_jacobian_is_correct_fn(
+ conv_points, [np.float32(points)], atol=1e-4, delta=1e-3)
+
+
+if __name__ == '__main___':
+ test_case.main()
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/tests/point_conv_test.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/tests/point_conv_test.py
new file mode 100644
index 000000000..91b1ea720
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/tests/point_conv_test.py
@@ -0,0 +1,259 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific
+"""Class to test PointConv convolutions"""
+
+import os
+import sys
+import numpy as np
+import tensorflow as tf
+from absl.testing import parameterized
+from tensorflow_graphics.util import test_case
+
+from pylib.pc import PointCloud, Grid, Neighborhood, KDEMode, AABB
+from pylib.pc.tests import utils
+from pylib.pc.layers import PointConv
+
+
+class PointConvTest(test_case.TestCase):
+
+ @parameterized.parameters(
+ (2000, 200, [3, 3], 16, 0.7, 8, 2),
+ (4000, 400, [3, 3], 8, np.sqrt(2), 8, 2),
+ (2000, 200, [1, 3], 16, 0.7, 8, 3),
+ (4000, 400, [3, 3], 8, 0.7, 8, 3),
+ (4000, 100, [3, 1], 1, np.sqrt(3), 16, 3),
+ (2000, 200, [3, 3], 16, 0.7, 8, 4),
+ (4000, 400, [1, 3], 8, np.sqrt(4), 32, 4)
+ )
+ def test_convolution(self,
+ num_points,
+ num_samples,
+ num_features,
+ batch_size,
+ radius,
+ hidden_size,
+ dimension):
+ cell_sizes = np.float32(np.repeat(radius, dimension))
+ points, batch_ids = utils._create_random_point_cloud_segmented(
+ batch_size, num_points, dimension=dimension)
+ features = np.random.rand(num_points, num_features[0])
+ point_cloud = PointCloud(points, batch_ids)
+
+ point_samples, batch_ids_samples = \
+ utils._create_random_point_cloud_segmented(
+ batch_size, num_samples, dimension=dimension)
+
+ point_cloud_samples = PointCloud(point_samples, batch_ids_samples)
+ grid = Grid(point_cloud, cell_sizes)
+ neighborhood = Neighborhood(grid, cell_sizes, point_cloud_samples)
+ pdf = neighborhood.get_pdf()
+ # tf
+ conv_layer = PointConv(
+ num_features[0], num_features[1], dimension, hidden_size,
+ non_linearity_type='relu')
+ conv_result_tf = conv_layer(
+ features, point_cloud, point_cloud_samples, radius, neighborhood)
+
+ # numpy
+ neighbor_ids = neighborhood._original_neigh_ids.numpy()
+ nb_ranges = neighborhood._samples_neigh_ranges.numpy()
+ max_pdf = tf.math.unsorted_segment_max(
+ pdf,
+ neighborhood._original_neigh_ids[:, 1],
+ tf.shape(neighborhood._samples_neigh_ranges)[0])
+ neigh_max_pdfs = tf.gather(max_pdf, neighborhood._original_neigh_ids[:, 1])
+ neigh_max_pdfs = neigh_max_pdfs
+ pdf = pdf.numpy() / neigh_max_pdfs.numpy()
+
+ # extract variables
+ hidden_weights = conv_layer._basis_axis_tf.numpy()
+ hidden_biases = conv_layer._basis_bias_tf.numpy()
+ pdf_weights = conv_layer._weights_pdf
+ pdf_biases = conv_layer._biases_pdf
+ weights = conv_layer._weights.numpy()
+
+ features_on_neighbors = features[neighbor_ids[:, 0]]
+ # compute first layer of kernel MLP
+ point_diff = (points[neighbor_ids[:, 0]] -\
+ point_samples[neighbor_ids[:, 1]])
+
+ latent_per_nb = np.dot(point_diff, hidden_weights) + hidden_biases
+ latent_relu_per_nb = np.maximum(latent_per_nb, 0)
+
+ # non-linear transform pdf with 2 layer MLP with ReLU
+ cur_pdf = np.dot(pdf.reshape([-1, 1]), pdf_weights[0].numpy()) + \
+ pdf_biases[0].numpy()
+ cur_pdf = np.maximum(cur_pdf, 0)
+ cur_pdf = np.dot(cur_pdf, pdf_weights[1].numpy()) + pdf_biases[1].numpy()
+
+ # weighting with pdf
+ latent_relu_per_nb /= cur_pdf
+
+ # Monte-Carlo integration after first layer
+ weighted_features_per_nb = np.expand_dims(features_on_neighbors, 2) * \
+ np.expand_dims(latent_relu_per_nb, 1)
+ nb_ranges = np.concatenate(([0], nb_ranges), axis=0)
+ # sum (integration)
+ weighted_latent_per_sample = \
+ np.zeros([num_samples, num_features[0], hidden_size])
+ for i in range(num_samples):
+ weighted_latent_per_sample[i] = \
+ np.sum(weighted_features_per_nb[nb_ranges[i]:nb_ranges[i + 1]],
+ axis=0)
+ # second layer of MLP (linear)
+ weighted_latent_per_sample = np.reshape(weighted_latent_per_sample,
+ [num_samples, -1])
+ conv_result_np = np.matmul(weighted_latent_per_sample, weights)
+
+ self.assertAllClose(conv_result_tf, conv_result_np, atol=1e-3, rtol=1e-3)
+
+ @parameterized.parameters(
+ (8, 4, [8, 8], 2, np.sqrt(3) * 1.25, 8, 3)
+ )
+ def test_conv_jacobian_params(self,
+ num_points,
+ num_samples,
+ num_features,
+ batch_size,
+ radius,
+ hidden_size,
+ dimension):
+ cell_sizes = np.float32(np.repeat(radius, dimension))
+ points, batch_ids = utils._create_random_point_cloud_segmented(
+ batch_size, num_points, dimension=dimension)
+ point_cloud = PointCloud(points, batch_ids)
+ point_samples, batch_ids_samples = \
+ utils._create_random_point_cloud_segmented(
+ batch_size, num_samples, dimension=dimension)
+
+ point_cloud_samples = PointCloud(point_samples, batch_ids_samples)
+ grid = Grid(point_cloud, cell_sizes)
+ neighborhood = Neighborhood(grid, cell_sizes, point_cloud_samples)
+ conv_layer = PointConv(
+ num_features[0], num_features[1], dimension, hidden_size)
+
+ features = np.random.rand(num_points, num_features[0])
+
+ with self.subTest(name='features'):
+ def conv_features(features_in):
+ conv_result = conv_layer(
+ features_in, point_cloud, point_cloud_samples, radius, neighborhood)
+ return conv_result
+
+ self.assert_jacobian_is_correct_fn(
+ conv_features, [features], atol=1e-3, delta=1e-3)
+
+ with self.subTest(name='params_basis_axis_proj'):
+ def conv_basis(weights_tf_in):
+ conv_layer._basis_axis_tf = weights_tf_in
+ conv_result = conv_layer(
+ features, point_cloud, point_cloud_samples, radius, neighborhood)
+ return conv_result
+
+ weights_tf = conv_layer._basis_axis_tf
+ self.assert_jacobian_is_correct_fn(
+ conv_basis, [weights_tf], atol=1e-2, delta=1e-3)
+
+ with self.subTest(name='params_basis_bias_proj'):
+ def conv_basis(bias_tf_in):
+ conv_layer._basis_bias_tf = bias_tf_in
+ conv_result = conv_layer(
+ features, point_cloud, point_cloud_samples, radius, neighborhood)
+ return conv_result
+
+ bias_tf = conv_layer._basis_bias_tf
+ self.assert_jacobian_is_correct_fn(
+ conv_basis, [bias_tf], atol=1e-2, delta=1e-4)
+
+ with self.subTest(name='params_pdf_transform'):
+ def conv_pdf(bias_pdf_tf_in1,
+ bias_pdf_tf_in2,
+ weights_pdf_tf_in1,
+ weights_pdf_tf_in2):
+ conv_layer._biases_pdf = [bias_pdf_tf_in1, bias_pdf_tf_in2]
+ conv_layer._weights_pdf = [weights_pdf_tf_in1, weights_pdf_tf_in2]
+ conv_result = conv_layer(
+ features, point_cloud, point_cloud_samples, radius, neighborhood)
+ return conv_result
+
+ bias_pdf_tf = conv_layer._biases_pdf
+ weights_pdf_tf = conv_layer._weights_pdf
+ self.assert_jacobian_is_correct_fn(
+ conv_pdf,
+ [bias_pdf_tf[0], bias_pdf_tf[1],
+ weights_pdf_tf[0], weights_pdf_tf[1]],
+ atol=5e-3, delta=1e-3)
+
+ with self.subTest(name='params_second_layer'):
+ def conv_weights(weigths_in):
+ conv_layer._weights = weigths_in
+ conv_result = conv_layer(
+ features, point_cloud, point_cloud_samples, radius, neighborhood)
+ return conv_result
+
+ weights = conv_layer._weights
+ self.assert_jacobian_is_correct_fn(
+ conv_weights, [weights], atol=1e-2, delta=1e-3)
+
+ @parameterized.parameters(
+ # neighbor ids are currently corrupted on dimension 2: todo fix
+ # (2000, 200, 16, 0.7, 2),
+ # (4000, 400, 8, np.sqrt(2), 2),
+ (8, 4, [8, 8], 2, np.sqrt(3) * 1.25, 8, 3),
+ # (4000, 400, [1, 1], 8, np.sqrt(3), 8, 3),
+ # (4000, 100, [2, 4], 1, np.sqrt(3), 8, 3),
+ # (2000, 200, [4, 2], 16, 0.7, 8, 4),
+ # (4000, 400, [2, 2], 8, np.sqrt(4), 8, 4)
+ )
+ def test_conv_jacobian_points(self,
+ num_points,
+ num_samples,
+ num_features,
+ batch_size,
+ radius,
+ hidden_size,
+ dimension):
+ cell_sizes = np.float32(np.repeat(radius, dimension))
+ points, batch_ids = utils._create_random_point_cloud_segmented(
+ batch_size, num_points, dimension=dimension)
+ features = np.random.rand(num_points, num_features[0])
+
+ point_samples, batch_ids_samples = \
+ utils._create_random_point_cloud_segmented(
+ batch_size, num_samples, dimension=dimension)
+
+ point_cloud_samples = PointCloud(point_samples, batch_ids_samples)
+ point_cloud = PointCloud(points, batch_ids)
+ grid = Grid(point_cloud, cell_sizes)
+ neighborhood = Neighborhood(grid, cell_sizes, point_cloud_samples)
+ neighborhood.compute_pdf()
+
+ conv_layer = PointConv(
+ num_features[0], num_features[1], dimension, hidden_size, 'elu')
+
+ def conv_points(points_in):
+ point_cloud._points = points_in
+ neighborhood._grid._sorted_points = \
+ tf.gather(points_in, grid._sorted_indices)
+
+ conv_result = conv_layer(
+ features, point_cloud, point_cloud_samples, radius, neighborhood)
+
+ return conv_result
+
+ self.assert_jacobian_is_correct_fn(
+ conv_points, [np.float32(points)], atol=5e-3, delta=1e-2)
+
+
+if __name__ == '__main___':
+ test_case.main()
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/tests/pooling_layers_test.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/tests/pooling_layers_test.py
new file mode 100644
index 000000000..5ed7993a1
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/tests/pooling_layers_test.py
@@ -0,0 +1,139 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific
+"""Class to test pooling layers"""
+
+import os
+import sys
+import numpy as np
+import tensorflow as tf
+from absl.testing import parameterized
+from tensorflow_graphics.util import test_case
+
+from pylib.pc import PointCloud, Grid, Neighborhood, AABB
+from pylib.pc.tests import utils
+from pylib.pc.layers import GlobalMaxPooling, GlobalAveragePooling
+from pylib.pc.layers import MaxPooling, AveragePooling
+
+
+class PoolingTest(test_case.TestCase):
+
+ @parameterized.parameters(
+ (1000, 32, 2),
+ (2000, 16, 2),
+ (4000, 8, 2),
+ (1000, 32, 3),
+ (2000, 16, 3),
+ (4000, 8, 3),
+ (4000, 2, 3),
+ (1000, 32, 4),
+ (2000, 16, 4),
+ (4000, 8, 4)
+ )
+ def test_global_pooling(self, num_points, batch_size, dimension):
+ points, batch_ids = utils._create_random_point_cloud_segmented(
+ batch_size, num_points * batch_size, dimension=dimension,
+ equal_sized_batches=True)
+ features = np.random.rand(batch_size, num_points, dimension)
+ point_cloud = PointCloud(points, batch_ids)
+
+ # max pooling
+ with self.subTest(name='max_pooling'):
+ PoolLayer = GlobalMaxPooling()
+ pool_tf = PoolLayer(features, point_cloud)
+ pool_numpy = np.empty([batch_size, dimension])
+ features = features.reshape([-1, dimension])
+ for i in range(batch_size):
+ pool_numpy[i] = np.max(features[batch_ids == i], axis=0)
+ self.assertAllClose(pool_numpy, pool_tf)
+ point_cloud.set_batch_shape([batch_size // 2, 2])
+ padded = PoolLayer(features, point_cloud, return_padded=True)
+ self.assertTrue(padded.shape.rank > 2)
+
+ # average pooling
+ with self.subTest(name='average_pooling'):
+ PoolLayer = GlobalAveragePooling()
+ pool_tf = PoolLayer(features, point_cloud)
+ pool_numpy = np.empty([batch_size, dimension])
+ for i in range(batch_size):
+ pool_numpy[i] = np.mean(features[batch_ids == i], axis=0)
+ self.assertAllClose(pool_numpy, pool_tf)
+ point_cloud.set_batch_shape([batch_size // 2, 2])
+ padded = PoolLayer(features, point_cloud, return_padded=True)
+ self.assertTrue(padded.shape.rank > 2)
+
+ @parameterized.parameters(
+ (2000, 200, 16, 0.7, 2),
+ (4000, 400, 8, np.sqrt(2), 2),
+ (2000, 200, 16, 0.7, 3),
+ (4000, 400, 8, np.sqrt(3), 3),
+ (4000, 100, 2, np.sqrt(3), 3),
+ (2000, 200, 16, 0.7, 4),
+ (4000, 400, 8, np.sqrt(4), 4)
+ )
+ def test_local_pooling(self,
+ num_points,
+ num_samples,
+ batch_size,
+ radius,
+ dimension):
+ cell_sizes = np.float32(np.repeat(radius, dimension))
+ points, batch_ids = utils._create_random_point_cloud_segmented(
+ batch_size, num_points, dimension=dimension)
+ features = np.random.rand(num_points, dimension)
+ point_cloud = PointCloud(points, batch_ids)
+
+ point_samples, batch_ids_samples = \
+ utils._create_random_point_cloud_segmented(
+ batch_size, num_samples, dimension=dimension)
+
+ point_cloud_samples = PointCloud(point_samples, batch_ids_samples)
+
+ grid = Grid(point_cloud, cell_sizes)
+ neighborhood = Neighborhood(grid, cell_sizes, point_cloud_samples)
+ neighbor_ids = neighborhood._original_neigh_ids.numpy()
+ features_on_neighbors = features[neighbor_ids[:, 0]]
+
+ #max pooling
+ with self.subTest(name='max_pooling_to_sampled'):
+ PoolLayer = MaxPooling()
+ pool_tf = PoolLayer(
+ features, point_cloud, point_cloud_samples, cell_sizes)
+
+ pool_numpy = np.empty([num_samples, dimension])
+ for i in range(num_samples):
+ pool_numpy[i] = np.max(
+ features_on_neighbors[neighbor_ids[:, 1] == i], axis=0)
+
+ self.assertAllClose(pool_tf, pool_numpy)
+ point_cloud.set_batch_shape([batch_size // 2, 2])
+ padded = PoolLayer(
+ features, point_cloud, point_cloud_samples, cell_sizes,
+ return_padded=True)
+ self.assertTrue(padded.shape.rank > 2)
+
+ #max pooling
+ with self.subTest(name='average_pooling_to_sampled'):
+ PoolLayer = AveragePooling()
+ pool_tf = PoolLayer(
+ features, point_cloud, point_cloud_samples, cell_sizes)
+
+ pool_numpy = np.empty([num_samples, dimension])
+ for i in range(num_samples):
+ pool_numpy[i] = np.mean(
+ features_on_neighbors[neighbor_ids[:, 1] == i], axis=0)
+
+ self.assertAllClose(pool_tf, pool_numpy)
+
+
+if __name__ == '__main___':
+ test_case.main()
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/utils.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/utils.py
new file mode 100644
index 000000000..f92433887
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/layers/utils.py
@@ -0,0 +1,237 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+"""Utility methods for point cloud layers."""
+
+import tensorflow as tf
+import numpy as np
+
+tf_pi = tf.convert_to_tensor(np.pi)
+
+
+def _format_output(features, point_cloud, return_sorted, return_padded):
+ """ Method to format and sort the output of a point cloud convolution layer.
+
+ Note:
+ In the following, `A1` to `An` are optional batch dimensions.
+
+ Args:
+ features: A `float` `Tensor` of shape `[N, C]`.
+ point_cloud: A `PointCloud` instance, on which the `feautres` are defined.
+ return_sorted: A `bool`, if 'True' the output tensor is sorted
+ according to the sorted batch ids of `point_cloud`.
+ return_padded: A `bool`, if 'True' the output tensor is sorted and
+ zero padded.
+
+ Returns:
+ A `float` `Tensor` of shape
+ `[N, C]`, if `return_padded` is `False`
+ or
+ `[A1, ..., An, V, C]`, if `return_padded` is `True`.
+
+ """
+
+ if return_padded:
+ unflatten = point_cloud.get_unflatten()
+ features = unflatten(features)
+ elif return_sorted:
+ features = tf.gather(features, point_cloud._sorted_indices_batch)
+ return features
+
+
+
+def random_rotation(points, name=None):
+ """ Method to rotate 3D points randomly.
+
+ Args:
+ points: A `float` `Tensor` of shape `[N, 3]`.
+
+ Returns:
+ A `float` `Tensor` of the same shape as `points`.
+
+ """
+ points = tf.convert_to_tensor(value=points)
+ angles = tf.random.uniform([3], 0, 2 * np.pi)
+ sine = tf.math.sin(angles)
+ cosine = tf.math.cos(angles)
+ Rx = tf.stack(([1.0, 0.0, 0.0],
+ [0.0, cosine[0], -sine[0]],
+ [0.0, sine[0], cosine[0]]), axis=1)
+ Ry = tf.stack(([cosine[1], 0, sine[1]],
+ [0.0, 1.0, 0.0],
+ [-sine[1], 0.0, cosine[1]]), axis=1)
+ Rz = tf.stack(([cosine[2], -sine[2], 0.0],
+ [sine[2], cosine[2], 0.0],
+ [0.0, 0.0, 1.0]), axis=1)
+ R = tf.matmul(tf.matmul(Rx, Ry), Rz)
+ return tf.matmul(points, R)
+
+
+def _hexagon(scale, z_shift):
+ """ Numpy hexagon ponts in the xy-plane with diameter `scale`
+ at z-position `z_shift`.
+
+ Args:
+ scale: A `float`.
+ z_shift: A `float`.
+
+ Returns:
+ A `np.array` of shape `[6, 3]`.
+
+ """
+ phi = np.sqrt(3) / 2
+ points = [[0, 1, 0],
+ [0, -1, 0],
+ [0.5, phi, 0],
+ [0.5, -phi, 0],
+ [-0.5, phi, 0],
+ [0.5, -phi, 0]]
+ points = np.array(points) * scale
+ points[:, 2] += z_shift
+ return points
+
+
+def _pentagon(scale, z_shift):
+ """ Numpy pentagon ponts in the xy-plane with diameter `scale`
+ at z-position `z_shift`.
+
+ Args:
+ scale: A `float`.
+ z_shift: A `float`.
+
+ Returns:
+ A `np.array` of shape `[5, 3]`.
+
+ """
+ c1 = (np.sqrt(5) - 1) / 4
+ c2 = (np.sqrt(5) + 1) / 4
+ s1 = np.sqrt(10 + 2 * np.sqrt(5)) / 4
+ s2 = np.sqrt(10 - 2 * np.sqrt(5)) / 4
+ points = [[1, 0, 0],
+ [c1, s1, 0],
+ [c1, -s1, 0],
+ [-c2, s2, 0],
+ [-c2, -s2, 0]]
+ points = np.array(points) * scale
+ points[:, 2] += z_shift
+ return points
+
+
+def square(scale, z_shift):
+ """ Numpy square ponts in the xy-plane with diameter `scale`
+ at z-position `z_shift`.
+
+ Args:
+ scale: A `float`.
+ z_shift: A `float`.
+
+ Returns:
+ A `np.array` of shape `[4, 3]`.
+
+ """
+ points = [[1, 0, 0],
+ [0, 1, 0],
+ [-1, 0, 0],
+ [0, -1, 0]]
+ points = np.array(points) * scale
+ points[:, 2] += z_shift
+ return points
+
+
+def spherical_kernel_points(num_points, rotate=True, name=None):
+ """ Kernel points in a unit sphere.
+
+ The points are located at positions as described in Appendix B of
+ [KPConv: Flexible and Deformable Convolution for Point Clouds. Thomas et
+ al.,
+ 2019](https://arxiv.org/abs/1904.08889).
+
+ Args:
+ num_points: An `int`, the number of kernel points, must be in
+ `[5, 7, 13, 15, 18]`.
+ rotate: A 'bool', if `True` a random rotation is applied to the points.
+
+ Returns:
+ A `float` `Tensor` of shape `[num_points, 3]`.
+
+ """
+
+ if num_points not in [5, 7, 13, 15, 18]:
+ raise ValueError('KPConv currently only supports kernel sizes' + \
+ ' [5, 7, 13, 15, 18]')
+ if num_points == 5:
+ # Tetrahedron
+ points = tf.Variable([[0, 0, 0],
+ [0, 0, 1],
+ [tf.sqrt(8 / 9), 0, -1 / 3],
+ [- tf.sqrt(2 / 9), tf.sqrt(2 / 3), - 1 / 3],
+ [-tf.sqrt(2 / 9), - tf.sqrt(2 / 3), -1 / 3]],
+ dtype=tf.float32)
+ elif num_points == 7:
+ # Octahedron
+ points = tf.Variable([[0, 0, 0],
+ [1, 0, 0],
+ [-1, 0, 0],
+ [0, 1, 0],
+ [0, -1, 0],
+ [0, 0, 1],
+ [0, 0, -1]], dtype=tf.float32)
+ elif num_points == 13:
+ # Icosahedron
+ phi = (1 + tf.sqrt(5)) / 2
+ points = tf.Variable([[0, 0, 0],
+ [0, 1, phi],
+ [0, 1, -phi],
+ [0, -1, phi],
+ [0, -1, -phi],
+ [1, phi, 0],
+ [1, -phi, 0],
+ [-1, phi, 0],
+ [-1, -phi, 0],
+ [phi, 0, 1],
+ [-phi, 0, 1],
+ [phi, 0, -1],
+ [-phi, 0, -1]], dtype=tf.float32)
+ elif num_points == 15:
+ hex1 = _hexagon(0.5, np.sqrt(3) / 2)
+ hex2 = _hexagon(-0.5, np.sqrt(3) / 2)[:,[1, 0, 2]] # rotated 90 deg in xy
+ points = np.concatenate(([[0, 0, 0], [0, 0, 1], [0, 0, -1]], hex1, hex2),
+ axis=0)
+ points = tf.Variable(points, dtype=tf.float32)
+ elif num_points == 18:
+ penta1 = _pentagon(1 / np.sqrt(2), 0.5)
+ penta2 = -_pentagon(1.0, 0.0) # flipped in xy
+ penta3 = _pentagon(-1 / np.sqrt(2), 0.5)
+ points = np.concatenate(([[0, 0, 0], [0, 0, 1], [0, 0, -1]],
+ penta1, penta2, penta3),
+ axis=0)
+ points = tf.Variable(points, dtype=tf.float32)
+ if rotate:
+ points = random_rotation(points)
+ return points
+
+
+def cube_kernel_points(cbrt_num_points, name):
+ """ Regularily distributed points in a unit cube.
+
+ Args:
+ cbrt_num_points: An `int`, the cubic root of the number of points.
+
+ Returns:
+ A `float` `Tensor` of shape `[cbrt_num_points^3, 3]`.
+
+ """
+ x = np.linspace(0, 1, cbrt_num_points)
+ x, y, z = np.meshgrid(x, x, x)
+ points = np.stack((x.flatten(), y.flatten(), z.flatten()), axis=1)
+ return tf.Variable(points, dtype=tf.float32)
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/sampling.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/sampling.py
new file mode 100755
index 000000000..ce8c37e14
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/sampling.py
@@ -0,0 +1,150 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+"""Methods to sample point clouds. """
+
+import tensorflow as tf
+
+from pylib.pc.custom_ops.custom_ops_tf import sampling_tf as sampling
+
+from pylib.pc import PointCloud, Neighborhood, Grid
+from pylib.pc.utils import cast_to_num_dims
+
+sample_modes = {'average': 1,
+ 'cell average': 1,
+ 'cell_average': 1,
+ 'poisson': 0,
+ 'poisson disk': 0,
+ 'poisson_disk': 0}
+
+
+def poisson_disk_sampling(point_cloud,
+ radius=None,
+ neighborhood=None,
+ return_ids=False,
+ name=None):
+ """ Poisson disk sampling of a point cloud.
+
+ Note: Either `radius` or `neighborhood` must be provided.
+
+ Args:
+ point_cloud: A `PointCloud` instance.
+ radius: A `float` or a `float` `Tensor` of shape `[D]`, the radius for the
+ Poisson disk sampling.
+ neighborhood: A `Neighborhood` instance.
+ return_ids: A `bool`, if `True` returns the indices of the sampled points.
+ (optional)
+
+ Returns:
+ A `PointCloud` instance.
+ An `int` `Tensor` of shape `[S]`, if `return_ids` is `True`.
+
+ Raises:
+ ValueError: If no radius or neighborhood is given.
+
+ """
+ if radius is None and neighborhood is None:
+ raise ValueError(
+ "Missing Argument! Either radius or neighborhood must be given!")
+ if neighborhood is None:
+ # compute neighborhood
+ radii = cast_to_num_dims(radius, point_cloud)
+ grid = Grid(point_cloud, radii)
+ neighborhood = Neighborhood(grid, radii)
+
+ #Compute the sampling.
+ sampled_points, sampled_batch_ids, sampled_indices = \
+ sampling(neighborhood, 1)
+
+ sampled_point_cloud = PointCloud(
+ points=sampled_points, batch_ids=sampled_batch_ids,
+ batch_size=neighborhood._point_cloud_sampled._batch_size)
+
+ if return_ids:
+ sampled_indices = tf.gather(neighborhood._grid._sorted_indices,
+ sampled_indices)
+ return sampled_point_cloud, sampled_indices
+ else:
+ return sampled_point_cloud
+
+
+def cell_average_sampling(point_cloud,
+ cell_sizes=None,
+ grid=None,
+ name=None):
+ """ Cell average sampling of a point cloud.
+
+ Note: Either `cell_sizes` or `grid` must be provided.
+
+ Args:
+ point_cloud: A `PointCloud` instance.
+ cell_sizes: A `float` or a `float` `Tensor` of shape `[D]`, the cell sizes
+ for the sampling.
+ grid: A `Grid` instance.
+
+ Returns:
+ A `PointCloud` instance.
+
+ Raises:
+ ValueError: If no radius or grid is given.
+
+ """
+ if cell_sizes is None and grid is None:
+ raise ValueError(
+ "Missing Argument! Either cell_sizes or grid must be given!")
+ if grid is None:
+ # compute grid
+ cell_sizes = cast_to_num_dims(cell_sizes, point_cloud)
+ grid = Grid(point_cloud, cell_sizes)
+
+ neighborhood = Neighborhood(grid, cell_sizes)
+
+ #Compute the sampling.
+ sampled_points, sampled_batch_ids, sampled_indices = \
+ sampling(neighborhood, 0)
+
+ sampled_point_cloud = PointCloud(
+ points=sampled_points, batch_ids=sampled_batch_ids,
+ batch_size=neighborhood._point_cloud_sampled._batch_size)
+
+ return sampled_point_cloud
+
+
+def sample(neighborhood, sample_mode='poisson', name=None):
+ """ Sampling for a neighborhood.
+
+ Args:
+ neighborhood: A `Neighborhood` instance.
+ sample_mode: A `string`, either `'poisson'`or `'cell average'`.
+
+ Returns:
+ A `PointCloud` instance, the sampled points.
+ An `int` `Tensor` of shape `[S]`, the indices of the sampled points,
+ `None` for cell average sampling.
+
+ """
+ sample_mode_value = sample_modes[sample_mode.lower()]
+ #Compute the sampling.
+ sampled_points, sampled_batch_ids, sampled_indices = \
+ sampling(neighborhood, sample_mode_value)
+
+ #Save the sampled point cloud.
+ if sample_mode_value == 0:
+ sampled_indices = tf.gather(
+ neighborhood._grid._sorted_indices, sampled_indices)
+ else:
+ sampled_indices = None
+ sampled_point_cloud = PointCloud(
+ points=sampled_points, batch_ids=sampled_batch_ids,
+ batch_size=neighborhood._point_cloud_sampled._batch_size_numpy)
+ return sampled_point_cloud, sampled_indices
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/tests/__init__.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/tests/__init__.py
new file mode 100644
index 000000000..26540aa8e
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/tests/__init__.py
@@ -0,0 +1,12 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/tests/aabb_test.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/tests/aabb_test.py
new file mode 100644
index 000000000..c7635badd
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/tests/aabb_test.py
@@ -0,0 +1,72 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+"""Class to test bounding box"""
+
+import os
+import sys
+import numpy as np
+import tensorflow as tf
+from absl.testing import parameterized
+from tensorflow_graphics.util import test_case
+
+from pylib.pc import PointCloud, AABB
+from pylib.pc.tests import utils
+
+
+class AABB_test(test_case.TestCase):
+
+ @parameterized.parameters(
+ (1, 1000, 3),
+ (8, 1000, 2),
+ (32, 1000, 4)
+ )
+ def test_aabb_min_max(self, batch_size, num_points, dimension):
+ points, batch_ids = utils._create_random_point_cloud_segmented(
+ batch_size, num_points, dimension)
+ aabb_max_numpy = np.empty([batch_size, dimension])
+ aabb_min_numpy = np.empty([batch_size, dimension])
+ for i in range(batch_size):
+ aabb_max_numpy[i] = np.amax(points[batch_ids == i], axis=0)
+ aabb_min_numpy[i] = np.amin(points[batch_ids == i], axis=0)
+
+ aabb_tf = PointCloud(points, batch_ids=batch_ids,
+ batch_size=batch_size).get_AABB()
+
+ self.assertAllClose(aabb_max_numpy, aabb_tf._aabb_max)
+ self.assertAllClose(aabb_min_numpy, aabb_tf._aabb_min)
+
+ @parameterized.parameters(
+ ([1], 1000, 3),
+ ([4, 4], 1000, 2),
+ ([1, 2, 3], 100, 4)
+ )
+ def test_aabb_diameter(self, batch_shape, max_num_points, dimension):
+ points, sizes = utils._create_random_point_cloud_padded(
+ max_num_points, batch_shape, dimension)
+ batch_size = np.prod(batch_shape)
+ diameter_numpy = np.empty(batch_size)
+ points_flat = np.reshape(points, [batch_size, max_num_points, dimension])
+ sizes_flat = np.reshape(sizes, [batch_size])
+ for i in range(batch_size):
+ curr_pts = points_flat[i][:sizes_flat[i]]
+ diag = np.amax(curr_pts, axis=0) - np.amin(curr_pts, axis=0)
+ diameter_numpy[i] = np.linalg.norm(diag)
+ diameter_numpy = np.reshape(diameter_numpy, batch_shape)
+
+ aabb_tf = PointCloud(points, sizes=sizes).get_AABB()
+ diameter_tf = aabb_tf.get_diameter()
+ self.assertAllClose(diameter_numpy, diameter_tf)
+
+if __name__ == '__main__':
+ test_case.main()
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/tests/compute_pdf_test.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/tests/compute_pdf_test.py
new file mode 100644
index 000000000..ba081b4e3
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/tests/compute_pdf_test.py
@@ -0,0 +1,149 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific
+"""Class to test kernel density estimation for point clouds"""
+
+import os
+import sys
+import numpy as np
+from sklearn.neighbors import KernelDensity
+import tensorflow as tf
+from absl.testing import parameterized
+from tensorflow_graphics.util import test_case
+
+from pylib.pc import PointCloud
+from pylib.pc import Grid
+from pylib.pc import KDEMode
+from pylib.pc import Neighborhood
+from pylib.pc.tests import utils
+
+
+class ComputePDFTest(test_case.TestCase):
+
+ @parameterized.parameters(
+ (4, 100, 10, 0.2, 0.1, 2),
+ (4, 100, 10, 0.7, 0.1, 2),
+ (4, 100, 10, np.sqrt(2), 0.1, 2),
+ (4, 100, 10, 0.2, 0.1, 3),
+ (4, 100, 10, 0.7, 0.1, 3),
+ (4, 100, 10, np.sqrt(3), 0.1, 3),
+ (4, 100, 10, 0.2, 0.1, 4),
+ (4, 100, 10, np.sqrt(4), 0.1, 4)
+ )
+ def test_compute_pdf(self,
+ batch_size,
+ num_points,
+ num_samples_per_batch,
+ cell_size,
+ bandwidth,
+ dimension):
+ cell_sizes = np.float32(np.repeat(cell_size, dimension))
+ bandwidths = np.float32(np.repeat(bandwidth, dimension))
+ points, batch_ids = utils._create_random_point_cloud_segmented(
+ batch_size, batch_size * num_points, dimension,
+ equal_sized_batches=True)
+ samples = np.full((batch_size * num_samples_per_batch, dimension),
+ 0.0, dtype=float)
+ for i in range(batch_size):
+ cur_choice = np.random.choice(num_points, num_samples_per_batch,
+ replace=True)
+ samples[num_samples_per_batch * i:num_samples_per_batch * (i + 1), :] = \
+ points[cur_choice + i * num_points]
+ samples_batch_ids = np.repeat(np.arange(0, batch_size),
+ num_samples_per_batch)
+
+ point_cloud = PointCloud(points, batch_ids, batch_size)
+ grid = Grid(point_cloud, cell_sizes)
+
+ point_cloud_samples = PointCloud(samples, samples_batch_ids, batch_size)
+ neighborhood = Neighborhood(grid, cell_sizes, point_cloud_samples)
+ neighborhood.compute_pdf(bandwidths, KDEMode.constant)
+ pdf_tf = neighborhood._pdf
+
+ sorted_points = grid._sorted_points.numpy()
+ sorted_batch_ids = grid._sorted_batch_ids.numpy()
+ neighbor_ids = neighborhood._neighbors
+
+ pdf_real = []
+ accum_points = []
+ prev_batch_i = -1
+ for pt_i, batch_i in enumerate(sorted_batch_ids):
+ if batch_i != prev_batch_i:
+ if len(accum_points) > 0:
+ test_points = np.array(accum_points)
+ kde_skl = KernelDensity(bandwidth=bandwidth)
+ kde_skl.fit(test_points)
+ log_pdf = kde_skl.score_samples(test_points)
+ pdf = np.exp(log_pdf)
+ if len(pdf_real) > 0:
+ pdf_real = np.concatenate((pdf_real, pdf), axis=0)
+ else:
+ pdf_real = pdf
+ accum_points = [sorted_points[pt_i] / cell_size]
+ prev_batch_i = batch_i
+ else:
+ accum_points.append(sorted_points[pt_i] / cell_size)
+
+ test_points = np.array(accum_points)
+ kde_skl = KernelDensity(bandwidth=bandwidth)
+ kde_skl.fit(test_points)
+ log_pdf = kde_skl.score_samples(test_points)
+ pdf = np.exp(log_pdf)
+ if len(pdf_real) > 0:
+ pdf_real = np.concatenate((pdf_real, pdf), axis=0)
+ else:
+ pdf_real = pdf
+
+ pdf_tf = np.asarray(pdf_tf / float(len(accum_points)))
+ pdf_skl = np.asarray(pdf_real)[neighbor_ids[:, 0]]
+ self.assertAllClose(pdf_tf, pdf_skl)
+
+ @parameterized.parameters(
+ (1, 200, 1, 4, 2),
+ (1, 200, 1, 4, 3),
+ (1, 100, 1, 4, 4)
+ )
+ def test_compute_pdf_jacobian(self,
+ batch_size,
+ num_points,
+ num_samples,
+ radius,
+ dimension):
+ cell_sizes = np.float32(np.repeat(radius, dimension))
+ bandwidths = np.float32(np.repeat(radius, dimension))
+ points, batch_ids = utils._create_random_point_cloud_segmented(
+ batch_size, batch_size * num_points, dimension,
+ equal_sized_batches=True)
+ samples = np.full((batch_size * num_samples, dimension), 0.0, dtype=float)
+ for i in range(batch_size):
+ cur_choice = np.random.choice(num_points, num_samples, replace=True)
+ samples[num_samples * i:num_samples * (i + 1), :] = \
+ points[cur_choice + i * num_points]
+ samples_batch_ids = np.repeat(np.arange(0, batch_size), num_samples)
+ def compute_pdf(points_in):
+ point_cloud = PointCloud(points_in, batch_ids, batch_size)
+ grid = Grid(point_cloud, cell_sizes)
+
+ point_cloud_samples = PointCloud(samples, samples_batch_ids, batch_size)
+ neighborhood = Neighborhood(grid, cell_sizes, point_cloud_samples)
+ neighborhood.compute_pdf(bandwidths, KDEMode.constant, normalize=True)
+ # account for influence of neighborhood size
+ _, _, counts = tf.unique_with_counts(neighborhood._neighbors[:, 1])
+ max_num_nb = tf.cast(tf.reduce_max(counts), tf.float32)
+ return neighborhood._pdf / max_num_nb
+
+ self.assert_jacobian_is_correct_fn(
+ compute_pdf, [np.float32(points)], atol=1e-4, delta=1e-3)
+
+
+if __name__ == '__main__':
+ test_case.main()
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/tests/grid_test.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/tests/grid_test.py
new file mode 100644
index 000000000..94407d7e3
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/tests/grid_test.py
@@ -0,0 +1,133 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific
+"""Class to test regular grid data structure"""
+
+import os
+import sys
+import numpy as np
+import tensorflow as tf
+from absl.testing import parameterized
+from tensorflow_graphics.util import test_case
+
+from pylib.pc import PointCloud
+from pylib.pc import Grid
+from pylib.pc.tests import utils
+
+
+class GridTest(test_case.TestCase):
+
+ @parameterized.parameters(
+ (100, 32, 30, 0.1, 2),
+ (200, 16, 1, 0.2, 2),
+ (200, 8, 1, np.sqrt(2), 2),
+ (100, 32, 30, 0.1, 3),
+ (200, 16, 1, 0.2, 3),
+ (200, 8, 1, np.sqrt(3), 3),
+ (100, 32, 30, 0.1, 4),
+ (200, 16, 1, 0.2, 4),
+ (200, 8, 1, np.sqrt(4), 4)
+ )
+ def test_compute_keys_with_sort(self,
+ num_points,
+ batch_size,
+ scale,
+ radius,
+ dimension):
+ radius = np.repeat(radius, dimension)
+ points, batch_ids = utils._create_random_point_cloud_segmented(
+ batch_size, num_points * batch_size, dimension=dimension,
+ sizes=np.ones(batch_size, dtype=int) * num_points, clean_aabb=False)
+ point_cloud = PointCloud(points, batch_ids)
+ aabb = point_cloud.get_AABB()
+ grid = Grid(point_cloud, radius)
+
+ total_num_cells = grid._num_cells.numpy()
+ aabb_min = aabb._aabb_min.numpy()
+
+ aabb_min_per_point = aabb_min[batch_ids, :]
+ cell_ind = np.floor((points - aabb_min_per_point) / radius).astype(int)
+ cell_ind = np.minimum(np.maximum(cell_ind, [0] * dimension),
+ total_num_cells)
+ cell_multiplier = np.flip(np.cumprod(np.flip(total_num_cells)))
+ cell_multiplier = np.concatenate((cell_multiplier, [1]), axis=0)
+ keys = batch_ids * cell_multiplier[0] + \
+ np.sum(cell_ind * cell_multiplier[1:].reshape([1, -1]), axis=1)
+ # check unsorted keys
+ self.assertAllEqual(grid._cur_keys, keys)
+
+ # sort descending
+ sorted_keys = np.flip(np.sort(keys))
+ # check if the cell keys per point are equal
+ self.assertAllEqual(grid._sorted_keys, sorted_keys)
+
+ @parameterized.parameters(
+ (100, 32, 30, 0.1, 2),
+ (200, 16, 1, 0.2, 2),
+ (200, 8, 1, np.sqrt(2), 2),
+ (100, 32, 30, 0.1, 3),
+ (200, 16, 1, 0.2, 3),
+ (200, 8, 1, np.sqrt(3), 3),
+ (200, 16, 1, 0.2, 4),
+ (200, 8, 1, np.sqrt(4), 4)
+ )
+ def test_grid_datastructure(self,
+ num_points,
+ batch_size,
+ scale,
+ radius,
+ dimension):
+ radius = np.repeat(radius, dimension)
+ points, batch_ids = utils._create_random_point_cloud_segmented(
+ batch_size, num_points * batch_size, dimension=dimension,
+ sizes=np.ones(batch_size, dtype=int) * num_points, clean_aabb=True)
+ point_cloud = PointCloud(points, batch_ids)
+ aabb = point_cloud.get_AABB()
+ grid = Grid(point_cloud, radius, aabb)
+
+ total_num_cells = grid._num_cells.numpy()
+ keys = grid._sorted_keys.numpy()
+ ds_numpy = np.full((batch_size, total_num_cells[0],
+ total_num_cells[1], 2), 0)
+ if dimension == 2:
+ cells_per_2D_cell = 1
+ elif dimension > 2:
+ cells_per_2D_cell = np.prod(total_num_cells[2:])
+ for key_iter, key in enumerate(keys):
+ curDSIndex = key // cells_per_2D_cell
+ yIndex = curDSIndex % total_num_cells[1]
+ auxInt = curDSIndex // total_num_cells[1]
+ xIndex = auxInt % total_num_cells[0]
+ curbatch_ids = auxInt // total_num_cells[0]
+
+ if key_iter == 0:
+ ds_numpy[curbatch_ids, xIndex, yIndex, 0] = key_iter
+ else:
+ prevKey = keys[key_iter - 1]
+ prevDSIndex = prevKey // cells_per_2D_cell
+ if prevDSIndex != curDSIndex:
+ ds_numpy[curbatch_ids, xIndex, yIndex, 0] = key_iter
+
+ nextIter = key_iter + 1
+ if nextIter >= len(keys):
+ ds_numpy[curbatch_ids, xIndex, yIndex, 1] = len(keys)
+ else:
+ nextKey = keys[key_iter + 1]
+ nextDSIndex = nextKey // cells_per_2D_cell
+ if nextDSIndex != curDSIndex:
+ ds_numpy[curbatch_ids, xIndex, yIndex, 1] = key_iter + 1
+
+ # check if the data structure is equal
+ self.assertAllEqual(grid.get_DS(), ds_numpy)
+
+if __name__ == '__main__':
+ test_case.main()
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/tests/neighbors_test.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/tests/neighbors_test.py
new file mode 100644
index 000000000..4b4beb716
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/tests/neighbors_test.py
@@ -0,0 +1,150 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific
+"""Class to test neighbor functions"""
+
+import os
+import sys
+import numpy as np
+import tensorflow as tf
+from absl.testing import parameterized
+from tensorflow_graphics.util import test_case
+
+from pylib.pc import PointCloud
+from pylib.pc import Grid
+from pylib.pc import Neighborhood
+from pylib.pc.tests import utils
+
+
+class NeighborsTest(test_case.TestCase):
+
+ @parameterized.parameters(
+ (100, 10, 4, 0.025, 2),
+ (100, 10, 4, 0.025, 3),
+ (100, 10, 4, 0.025, 4)
+ )
+ def test_find_neighbors(self,
+ num_points,
+ num_samples,
+ batch_size,
+ radius,
+ dimension):
+ cell_sizes = np.repeat(radius, dimension)
+ points, batch_ids = utils._create_random_point_cloud_segmented(
+ batch_size, num_points * batch_size, dimension=dimension,
+ sizes=np.ones(batch_size, dtype=int) * num_points)
+ point_cloud = PointCloud(points, batch_ids)
+ samples_points, batch_ids_samples = \
+ utils._create_random_point_cloud_segmented(
+ batch_size, num_samples * batch_size, dimension=dimension,
+ sizes=np.ones(batch_size, dtype=int) * num_samples)
+ point_cloud_sampled = PointCloud(samples_points, batch_ids_samples)
+ grid = Grid(point_cloud, cell_sizes)
+ neighborhood = Neighborhood(grid, cell_sizes, point_cloud_sampled)
+ sorted_points = grid._sorted_points
+
+ neighbors_tf = neighborhood._neighbors
+
+ neighbors_numpy = [[] for i in range(num_samples * batch_size)]
+
+ for k in range(batch_size):
+ for i in range(num_samples):
+ for j in range(num_points):
+ diffArray = (samples_points[i + k * num_samples] - \
+ sorted_points[(batch_size - k - 1) * num_points + j])\
+ / cell_sizes
+ if np.linalg.norm(diffArray) < 1.0:
+ neighbors_numpy[k * num_samples + i].append((batch_size - k - 1)\
+ * num_points + j)
+
+ allFound = True
+ for neigh in neighbors_tf:
+ found = False
+ for ref_neigh in neighbors_numpy[neigh[1]]:
+ if ref_neigh == neigh[0]:
+ found = True
+ allFound = allFound and found
+ self.assertTrue(allFound)
+
+ @parameterized.parameters(
+ (12, 100, 24, np.sqrt(2), 2),
+ (32, 1000, 32, 0.7, 2),
+ (32, 1000, 32, 0.1, 2),
+ (12, 100, 24, np.sqrt(3), 3),
+ (32, 1000, 32, 0.7, 3),
+ (32, 1000, 32, 0.1, 3),
+ (12, 100, 24, np.sqrt(4), 4),
+ (32, 10000, 32, 0.7, 4),
+ (32, 1000, 32, 0.1, 4),
+ )
+ def test_neighbors_are_from_same_batch(self,
+ batch_size,
+ num_points,
+ num_samples,
+ radius,
+ dimension):
+ points, batch_ids = utils._create_random_point_cloud_segmented(
+ batch_size, num_points, dimension=dimension)
+ samples, batch_ids_samples = utils._create_random_point_cloud_segmented(
+ batch_size, num_samples, dimension=dimension)
+ radius = np.float32(np.repeat([radius], dimension))
+
+ point_cloud = PointCloud(points, batch_ids)
+ point_cloud_samples = PointCloud(samples, batch_ids_samples)
+ grid = Grid(point_cloud, radius)
+ neighborhood = Neighborhood(grid, radius, point_cloud_samples)
+
+ batch_ids_in = tf.gather(
+ point_cloud._batch_ids, neighborhood._original_neigh_ids[:, 0])
+ batch_ids_out = tf.gather(
+ point_cloud_samples._batch_ids, neighborhood._original_neigh_ids[:, 1])
+ batch_check = batch_ids_in == batch_ids_out
+ self.assertTrue(np.all(batch_check))
+
+ @parameterized.parameters(
+ (10, 4, 0.05, 1),
+ (10, 4, 0.11, 7),
+ (10, 4, 0.142, 19),
+ (10, 4, 0.174, 27),
+ )
+ def test_neighbors_on_3D_meshgrid(self,
+ num_points_cbrt,
+ num_points_samples_cbrt,
+ radius,
+ expected_num_neighbors):
+ num_points = num_points_cbrt**3
+ num_samples = num_points_samples_cbrt**3
+
+ points = utils._create_uniform_distributed_point_cloud_3D(
+ num_points_cbrt, flat=True)
+ batch_ids = np.zeros(num_points)
+ points_samples = utils._create_uniform_distributed_point_cloud_3D(
+ num_points_samples_cbrt, bb_min=1 / (num_points_samples_cbrt + 1),
+ flat=True)
+ batch_ids_samples = np.zeros(num_samples)
+ point_cloud = PointCloud(points, batch_ids)
+ point_cloud_samples = PointCloud(points_samples, batch_ids_samples)
+ radius = np.float32(np.repeat([radius], 3))
+ grid = Grid(point_cloud, radius)
+ neighborhood = Neighborhood(grid, radius, point_cloud_samples)
+
+ neigh_ranges = neighborhood._samples_neigh_ranges
+ num_neighbors = np.zeros(num_samples)
+ num_neighbors[0] = neigh_ranges[0]
+ num_neighbors[1:] = neigh_ranges[1:] - neigh_ranges[:-1]
+ expected_num_neighbors = \
+ np.ones_like(num_neighbors) * expected_num_neighbors
+ self.assertAllEqual(num_neighbors, expected_num_neighbors)
+
+
+if __name__ == '__main__':
+ test_case.main()
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/tests/point_cloud_test.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/tests/point_cloud_test.py
new file mode 100644
index 000000000..fd7bb62c0
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/tests/point_cloud_test.py
@@ -0,0 +1,135 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific
+"""Class to test point clouds"""
+
+import os
+import sys
+import numpy as np
+import tensorflow as tf
+from absl.testing import parameterized
+from tensorflow_graphics.util import test_case
+
+from pylib.pc import PointCloud, PointHierarchy
+from pylib.pc.tests import utils
+
+
+class PointCloudTest(test_case.TestCase):
+
+ @parameterized.parameters(
+ ([32], 100, 3),
+ ([5, 2], 100, 2),
+ ([2, 3, 4], 100, 4)
+ )
+ def test_flatten_unflatten_padded(self, batch_shape, num_points, dimension):
+ batch_size = np.prod(batch_shape)
+ points, sizes = utils._create_random_point_cloud_padded(
+ num_points, batch_shape, dimension=dimension)
+ point_cloud = PointCloud(points, sizes=sizes)
+ retrieved_points = point_cloud.get_points().numpy()
+ self.assertAllEqual(points.shape, retrieved_points.shape)
+ points = points.reshape([batch_size, num_points, dimension])
+ retrieved_points = retrieved_points.reshape(
+ [batch_size, num_points, dimension])
+ sizes = sizes.reshape([batch_size])
+ for i in range(batch_size):
+ self.assertAllClose(points[i, :sizes[i]], retrieved_points[i, :sizes[i]])
+ self.assertTrue(np.all(retrieved_points[i, sizes[i]:] == 0))
+
+ @parameterized.parameters(
+ (100, 32, [8, 4]),
+ (100, 16, [2, 2, 2, 2])
+ )
+ def test_construction_methods(self, max_num_points, batch_size, batch_shape):
+ points, sizes = utils._create_random_point_cloud_padded(
+ max_num_points, batch_shape)
+ num_points = np.sum(sizes)
+
+ sizes_flat = sizes.reshape([batch_size])
+ points_flat = points.reshape([batch_size, max_num_points, 3])
+ batch_ids = np.repeat(np.arange(0, batch_size), sizes_flat)
+
+ points_seg = np.empty([num_points, 3])
+ cur_id = 0
+ for pts, size in zip(points_flat, sizes_flat):
+ points_seg[cur_id:cur_id + size] = pts[:size]
+ cur_id += size
+
+ pc_from_padded = PointCloud(points, sizes=sizes)
+ self.assertAllEqual(batch_ids, pc_from_padded._batch_ids)
+ self.assertAllClose(points_seg, pc_from_padded._points)
+
+ pc_from_ids = PointCloud(points_seg, batch_ids)
+ pc_from_ids.set_batch_shape(batch_shape)
+
+ pc_from_sizes = PointCloud(points_seg, sizes=sizes_flat)
+ pc_from_sizes.set_batch_shape(batch_shape)
+ self.assertAllEqual(batch_ids, pc_from_sizes._batch_ids)
+
+ points_from_padded = pc_from_padded.get_points(
+ max_num_points=max_num_points)
+ points_from_ids = pc_from_ids.get_points(
+ max_num_points=max_num_points)
+ points_from_sizes = pc_from_sizes.get_points(
+ max_num_points=max_num_points)
+
+ self.assertAllEqual(points_from_padded, points_from_ids)
+ self.assertAllEqual(points_from_ids, points_from_sizes)
+ self.assertAllEqual(points_from_sizes, points_from_padded)
+
+ points_from_padded = pc_from_padded.get_points(0)
+ points_from_ids = pc_from_ids.get_points(0)
+ points_from_sizes = pc_from_sizes.get_points(0)
+ self.assertAllEqual(points_from_padded, points_from_ids)
+ self.assertAllEqual(points_from_ids, points_from_sizes)
+ self.assertAllEqual(points_from_sizes, points_from_padded)
+
+ @parameterized.parameters(
+ (1000,
+ ['Invalid input! Point tensor is of dimension 1 \
+ but should be at least 2!',
+ 'Missing input! Either sizes or batch_ids must be given.',
+ 'Invalid sizes! Sizes of points and batch_ids are not equal.'])
+ )
+ def test_exceptions_raised_at_construction(self, num_points, msgs):
+ points = np.random.rand(num_points)
+ batch_ids = np.zeros(num_points)
+ with self.assertRaisesRegex(ValueError, msgs[0]):
+ _ = PointCloud(points, batch_ids)
+ points = np.random.rand(num_points, 3)
+ with self.assertRaisesRegexp(ValueError, msgs[1]):
+ _ = PointCloud(points)
+ with self.assertRaisesRegexp(AssertionError, msgs[2]):
+ _ = PointCloud(points, batch_ids[1:])
+
+ @parameterized.parameters(
+ ([32], 100, 3),
+ ([5, 2], 100, 2),
+ ([2, 3, 4], 100, 4)
+ )
+ def test_point_hierarchy(self, batch_shape, num_points, dimension):
+ batch_size = np.prod(batch_shape)
+ points, sizes = utils._create_random_point_cloud_padded(
+ num_points, batch_shape, dimension=dimension)
+ point_cloud = PointCloud(points, sizes=sizes)
+ point_hierarchy = PointHierarchy(point_cloud, [[0.1]])
+ points_retrieved = point_hierarchy.get_points(0)
+ self.assertTrue(len(points_retrieved) == 2)
+ sizes_retrieved = point_hierarchy.get_sizes()
+ self.assertTrue(len(sizes_retrieved) == 2)
+ self.assertAllEqual(sizes_retrieved[0], sizes)
+ nbhs = point_hierarchy.get_neighborhood()
+ self.assertTrue(len(nbhs) == 1)
+
+
+if __name__ == '__main__':
+ test_case.main()
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/tests/sample_test.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/tests/sample_test.py
new file mode 100644
index 000000000..988d545db
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/tests/sample_test.py
@@ -0,0 +1,132 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific
+"""Class to test point sampling operations"""
+
+import os
+import sys
+import numpy as np
+import tensorflow as tf
+from absl.testing import parameterized
+from tensorflow_graphics.util import test_case
+
+from pylib.pc import PointCloud
+from pylib.pc import Grid
+from pylib.pc import sample
+from pylib.pc import Neighborhood
+from pylib.pc.tests import utils
+
+
+class SamplingTest(test_case.TestCase):
+
+ @parameterized.parameters(
+ (100, 8, 0.1, 3),
+ (100, 8, 0.1, 3),
+ (100, 16, 0.1, 4)
+ )
+ def test_sampling_poisson_disk_on_random(
+ self, num_points, batch_size, cell_size, dimension):
+ cell_sizes = np.float32(np.repeat(cell_size, dimension))
+ points, batch_ids = utils._create_random_point_cloud_segmented(
+ batch_size, num_points * batch_size, dimension=dimension,
+ sizes=np.ones(batch_size, dtype=int) * num_points)
+ point_cloud = PointCloud(points, batch_ids)
+ grid = Grid(point_cloud, cell_sizes)
+ neighborhood = Neighborhood(grid, cell_sizes)
+ sampled_point_cloud, _ = sample(neighborhood, 'poisson')
+
+ sampled_points = sampled_point_cloud._points.numpy()
+ sampled_batch_ids = sampled_point_cloud._batch_ids.numpy()
+
+ min_dist = 1.0
+ for i in range(batch_size):
+ indices = np.where(sampled_batch_ids == i)
+ diff = np.expand_dims(sampled_points[indices], 1) - \
+ np.expand_dims(sampled_points[indices], 0)
+ dists = np.linalg.norm(diff, axis=2)
+ dists = np.sort(dists, axis=1)
+ min_dist = min(min_dist, np.amin(dists[:, 1]))
+
+ self.assertLess(min_dist, cell_size + dimension * 1e-3)
+
+ @parameterized.parameters(
+ (6, 1),
+ (100, 5)
+ )
+ def test_sampling_poisson_disk_on_uniform(self, num_points_sqrt, scale):
+ points = utils._create_uniform_distributed_point_cloud_2D(
+ num_points_sqrt, scale=scale)
+ cell_sizes = scale * np.array([2, 2], dtype=np.float32) \
+ / num_points_sqrt
+ batch_ids = np.zeros([len(points)])
+ point_cloud = PointCloud(points, batch_ids)
+ grid = Grid(point_cloud, cell_sizes)
+ neighborhood = Neighborhood(grid, cell_sizes)
+ sample_point_cloud, _ = sample(neighborhood, 'poisson')
+
+ sampled_points = sample_point_cloud._points.numpy()
+ expected_max_num_pts = num_points_sqrt ** 2 // 2
+ expected_min_num_pts = np.ceil(num_points_sqrt ** 2 / 3)
+ self.assertTrue(
+ len(sampled_points) <= expected_max_num_pts and \
+ len(sampled_points) >= expected_min_num_pts)
+
+ @parameterized.parameters(
+ (100, 2, 0.1, 3),
+ (100, 8, 0.7, 3),
+ (50, 2, np.sqrt(3), 3),
+ )
+ def test_sampling_average_on_random(
+ self, num_points, batch_size, cell_size, dimension):
+ cell_sizes = np.repeat(cell_size, dimension)
+ points, batch_ids = utils._create_random_point_cloud_segmented(
+ batch_size, num_points * batch_size, dimension=dimension,
+ sizes=np.ones(batch_size, dtype=int) * num_points)
+ #print(points.shape, batch_ids.shape)
+ point_cloud = PointCloud(points=points, batch_ids=batch_ids)
+ grid = Grid(point_cloud, cell_sizes)
+ neighborhood = Neighborhood(grid, cell_sizes)
+ sample_point_cloud, _ = sample(neighborhood, 'average')
+
+ sampled_points_tf = sample_point_cloud._points.numpy()
+ sorted_keys = neighborhood._grid._sorted_keys.numpy()
+ sorted_points = neighborhood._grid._sorted_points.numpy()
+
+ sampled_points_numpy = []
+ cur_point = np.repeat(0.0, dimension)
+ cur_key = -1
+ cur_num_points = 0.0
+ for pt_id, cur_key_point in enumerate(sorted_keys):
+ if cur_key_point != cur_key:
+ if cur_key != -1:
+ cur_point /= cur_num_points
+ sampled_points_numpy.append(cur_point)
+ cur_key = cur_key_point
+ cur_point = [0.0, 0.0, 0.0]
+ cur_num_points = 0.0
+ cur_point += sorted_points[pt_id]
+ cur_num_points += 1.0
+ cur_point /= cur_num_points
+ sampled_points_numpy.append(cur_point)
+
+ equal = True
+ for point_numpy in sampled_points_numpy:
+ found = False
+ for point_tf in sampled_points_tf:
+ if np.all(np.abs(point_numpy - point_tf) < 0.0001):
+ found = True
+ equal = equal and found
+ self.assertTrue(equal)
+
+
+if __name__ == '__main__':
+ test_case.main()
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/tests/utils.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/tests/utils.py
new file mode 100644
index 000000000..48a3cdb55
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/tests/utils.py
@@ -0,0 +1,82 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+"""helper functions for unit tests"""
+
+import tensorflow as tf
+import numpy as np
+
+
+def _create_random_point_cloud_segmented(batch_size,
+ num_points,
+ dimension=3,
+ sizes=None,
+ scale=1,
+ clean_aabb=False,
+ equal_sized_batches=False):
+ points = np.random.uniform(0, scale, [num_points, dimension])
+ if sizes is None:
+ if not equal_sized_batches:
+ batch_ids = np.random.randint(0, batch_size, num_points)
+ batch_ids[:batch_size] = np.arange(0, batch_size)
+ else:
+ batch_ids = np.repeat(np.arange(0, batch_size), num_points // batch_size)
+ # batch_ids = np.sort(batch_ids)
+ else:
+ sizes = np.array(sizes, dtype=int)
+ batch_ids = np.repeat(np.arange(0, batch_size), sizes)
+ if clean_aabb:
+ # adds points such that the aabb is [0,0,0] [1,1,1]*scale
+ # to prevent rounding errors
+ points = np.concatenate(
+ (points, scale * np.ones([batch_size, dimension]) - 1e-9,
+ 1e-9 + np.zeros([batch_size, dimension])))
+ batch_ids = np.concatenate(
+ (batch_ids, np.arange(0, batch_size), np.arange(0, batch_size)))
+ return points, batch_ids
+
+
+def _create_random_point_cloud_padded(max_num_points,
+ batch_shape,
+ dimension=3,
+ sizes=None,
+ scale=1):
+ batch_size = np.prod(batch_shape)
+ points = np.random.uniform(
+ 0, scale, [max_num_points * batch_size, dimension])
+ points = points.reshape(batch_shape + [max_num_points, dimension])
+ if sizes is None:
+ sizes = np.random.randint(1, max_num_points, batch_shape)
+ return points, sizes
+
+
+def _create_uniform_distributed_point_cloud_2D(num_points_sqrt,
+ scale=1,
+ flat=False):
+ ticks = np.linspace(0, scale, num=num_points_sqrt)
+ points = np.array(np.meshgrid(ticks, ticks)).T
+ if flat:
+ points = points.reshape(-1, 2)
+ return points
+
+
+def _create_uniform_distributed_point_cloud_3D(num_points_root,
+ bb_min=0,
+ bb_max=1,
+ flat=False):
+ ticks = np.linspace(bb_min, bb_max, num=num_points_root, endpoint=False)
+ points = np.array(np.meshgrid(ticks, ticks, ticks)).T
+ if flat:
+ points = points.reshape(-1, 3)
+ return points
+
diff --git a/tensorflow_graphics/projects/point_convolutions/pylib/pc/utils.py b/tensorflow_graphics/projects/point_convolutions/pylib/pc/utils.py
new file mode 100644
index 000000000..9c1d1abf3
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pylib/pc/utils.py
@@ -0,0 +1,85 @@
+# Copyright 2020 The TensorFlow Authors
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+''' helper functions for point clouds '''
+
+import tensorflow as tf
+from tensorflow_graphics.geometry.convolution.utils import flatten_batch_to_2d
+from pylib.pc import PointCloud
+
+
+def check_valid_point_cloud_input(points, sizes, batch_ids):
+ """Checks that the inputs to the constructor of class 'PointCloud' are valid.
+
+ Args:
+ points: A `float` `Tensor` of shape `[N, D]` or `[A1, ..., An, V, D]`.
+ sizes: An `int` `Tensor` of shape `[A1, ..., An]` or `None`.
+ batch_ids: An `int` `Tensor` of shape `[N]` or `None`.
+
+ Raises:
+ Value Error: If input dimensions are invalid or no valid segmentation
+ is given.
+
+ """
+
+ if points.shape.ndims == 2 and sizes is None and batch_ids is None:
+ raise ValueError('Missing input! Either sizes or batch_ids must be given.')
+ if points.shape.ndims == 1:
+ raise ValueError(
+ 'Invalid input! Point tensor is of dimension 1 \
+ but should be at least 2!')
+ if points.shape.ndims == 2 and batch_ids is not None:
+ if points.shape[0] != batch_ids.shape[0]:
+ raise AssertionError('Invalid sizes! Sizes of points and batch_ids are' +
+ ' not equal.')
+
+def _flatten_features(features, point_cloud: PointCloud):
+ """ Converts features of shape `[A1, ..., An, C]` to shape `[N, C]`.
+
+ Args:
+ features: A `Tensor`.
+ point_cloud: A `PointCloud` instance.
+
+ Returns:
+ A `Tensor` of shape `[N, C]`.
+
+ """
+ if features.shape.ndims > 2:
+ sizes = point_cloud.get_sizes()
+ features, _ = flatten_batch_to_2d(features, sizes)
+ sorting = tf.math.invert_permutation(point_cloud._sorted_indices_batch)
+ features = tf.gather(features, sorting)
+ else:
+ tf.assert_equal(tf.shape(features)[0], tf.shape(point_cloud._points)[0])
+ tf.assert_equal(tf.rank(features), 2)
+ return features
+
+
+def cast_to_num_dims(values, num_dims, dtype=tf.float32):
+ """ Converts an input to the specified `dtype` and repeats it `num_dims`
+ times.
+
+ Args:
+ values: Must be convertible to a `Tensor` of shape `[], [1]` or
+ `[num_dims]`.
+ dtype: A `tf.dtype`.
+
+ Returns:
+ A `dtype` `Tensor` of shape `[num_dims]`.
+
+ """
+ values = tf.cast(tf.convert_to_tensor(value=values),
+ dtype=dtype)
+ if values.shape == [] or values.shape[0] == 1:
+ values = tf.repeat(values, num_dims)
+ return values
diff --git a/tensorflow_graphics/projects/point_convolutions/pytest.ini b/tensorflow_graphics/projects/point_convolutions/pytest.ini
new file mode 100644
index 000000000..82972425f
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pytest.ini
@@ -0,0 +1,3 @@
+[pytest]
+norecursedirs = tensorflow_graphics/rendering/opengl/tests tensorflow_graphics/submodules
+python_files = *_test.py
diff --git a/tensorflow_graphics/projects/point_convolutions/pytest_requirements.txt b/tensorflow_graphics/projects/point_convolutions/pytest_requirements.txt
new file mode 100644
index 000000000..418e8a444
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/pytest_requirements.txt
@@ -0,0 +1,3 @@
+pytest
+sklearn
+trimesh
\ No newline at end of file
diff --git a/tensorflow_graphics/projects/point_convolutions/test_point_clouds/SHREC15/0.txt b/tensorflow_graphics/projects/point_convolutions/test_point_clouds/SHREC15/0.txt
new file mode 100644
index 000000000..6dabf1dd0
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/test_point_clouds/SHREC15/0.txt
@@ -0,0 +1,18998 @@
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diff --git a/tensorflow_graphics/projects/point_convolutions/test_point_clouds/SHREC15/1.txt b/tensorflow_graphics/projects/point_convolutions/test_point_clouds/SHREC15/1.txt
new file mode 100644
index 000000000..8b70e5931
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/test_point_clouds/SHREC15/1.txt
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diff --git a/tensorflow_graphics/projects/point_convolutions/test_point_clouds/SHREC15/2.txt b/tensorflow_graphics/projects/point_convolutions/test_point_clouds/SHREC15/2.txt
new file mode 100644
index 000000000..58b3841b2
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/test_point_clouds/SHREC15/2.txt
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diff --git a/tensorflow_graphics/projects/point_convolutions/test_point_clouds/SHREC15/3.txt b/tensorflow_graphics/projects/point_convolutions/test_point_clouds/SHREC15/3.txt
new file mode 100644
index 000000000..2d799c6ca
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/test_point_clouds/SHREC15/3.txt
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diff --git a/tensorflow_graphics/projects/point_convolutions/test_point_clouds/SHREC15/4.txt b/tensorflow_graphics/projects/point_convolutions/test_point_clouds/SHREC15/4.txt
new file mode 100644
index 000000000..2c49763a1
--- /dev/null
+++ b/tensorflow_graphics/projects/point_convolutions/test_point_clouds/SHREC15/4.txt
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