SE-Sync-Landmarks

This repository is an extension of the original SE-Sync algorithm that adds efficient computation and certification of landmark/feature locations in addition to solving pose-graph SLAM. This is done by efficiently marginalizing over landmark measurement data, computing the certified optimal pose solution via SE-Sync and recovering the optimal landmark locations.

A description of the algorithm can be found in our article

The original SE-Sync repository can be found here.

Getting Started

Currently, SE-Sync-Landmarks has only been implemented in MATLAB.

Please see the SE-Sync repository for initial setup.

Running SE-Sync-Landmarks

To solve for landmark locations in addition to solving pose-graph SLAM, the user must provide an additional flag to the measurements input structure of the original SE-Sync:

measurements Data Structure:

Field	Description
edges	An (mx2)-dimension encoding the edges in the measurement network; edges(k, :) = [i,j] means that the $k^{th}$ measurement is of the relative transform from pose $i$ to pose/landmark $j$. NB: This indexing scheme requires that the states $x_i$ are numbered sequentially as $x_1, ..., x_{N}$.
R	An m-dimensional cell array whose $k^{th}$ element is the rotational part of the $k^{th}$ measurement.
t	An m-dimensional cell array whose $k^{th}$ element is the translational part of the $k^{th}$ measurement
kappa	An m-dimensional cell array whose $k^{th}$ element gives the precision of the rotational part of the $k^{th}$ measurement.
tau	An m-dimensional cell array whose $k^{th}$ element gives the precision of the translational part of the $k^{th}$ measurement.
lmFlag	An mx1 dimensional array of booleans indicating whether the measurement is a landmark measurement (true) or a pose measurement (false). It is expected that the relative rotation measurement associated with landmarks is set to a 3x3 matrix of zeros.

When defining the edges structure, the first $N_p$ states represent the poses and the last $N_m$ states represent the landmarks $(N = N_p + N_m )$.

Once the input measurements structure is assembled as defined above, the SE_sync function can be called normally.

Output

The output data structure is the same as in the standard SE-Sync. However, the output translation variables contain both pose and landmark translations in a single array. The first $N_p$ translations are associated with the poses and the last $ N_m $ translations are associated with the landmarks.