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./CameraInterface.ipynb 0000644 0001750 0001750 00000462747 13452040354 014355 0 ustar pi pi 0000000 0000000 {
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from picamera.array import PiYUVArray, PiRGBArray\n",
"from picamera import PiCamera\n",
"\n",
"from scipy.signal import find_peaks, butter, filtfilt\n",
"\n",
"import time\n",
"import matplotlib.pyplot as plt\n",
"import skimage as ski\n",
"import tools\n",
"\n",
"# Camera resolution\n",
"res = (120, 80)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# Interface the camera capturing RGB images\n",
"\n",
"camera = PiCamera()\n",
" \n",
"# Check the link below for the combinations between mode and resolution\n",
"# https://picamera.readthedocs.io/en/release-1.13/fov.html#sensor-modes\n",
"camera.sensor_mode = 7\n",
"camera.resolution = res\n",
"camera.framerate = 120\n",
"\n",
"# Initialize the buffer and start capturing\n",
"rawCapture = PiRGBArray(camera, size=res)\n",
"stream = camera.capture_continuous(rawCapture, format=\"rgb\", use_video_port=True)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/pi/.virtualenvs/raceon/lib/python3.5/site-packages/picamera/encoders.py:544: PiCameraResolutionRounded: frame size rounded up from 120x80 to 128x80\n",
" width, height, fwidth, fheight)))\n"
]
}
],
"source": [
"# Get next frame from the stream\n",
"\n",
"rawCapture.truncate(0)\n",
"frame = next(stream)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"#%%timeit\n",
"\n",
"# Bigger the image, more it takes for the conversion\n",
"#I = ski.color.rgb2gray(frame.array)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"#%%timeit\n",
"\n",
"# Arlgorithms operate faster on smaller images\n",
"#I = ski.color.rgb2gray(frame.array[0:320, 0:240, :])"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x6bbc1c10>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Show the captured image\n",
"plt.imshow(frame.array)"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [],
"source": [
"# Release resources\n",
"stream.close()\n",
"rawCapture.close()\n",
"camera.close()"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [],
"source": [
"# To filter the noise in the image we use a 3rd order Butterworth filter\n",
"\n",
"# Wn = 0.02, the cut-off frequency, acceptable values are from 0 to 1\n",
"b, a = butter(3, 0.02)"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Elapsed 11.89 seconds, estimated FPS 25.23\n"
]
}
],
"source": [
"# Run a track detection algorithm on a single horizontal line.\n",
"# Uses YUV420 image format as the Y component corresponds to image intensity (gray image)\n",
"# and thus there is no need to convert from RGB to BW\n",
"\n",
"camera = PiCamera()\n",
" \n",
"# Check the link below for the combinations between mode and resolution\n",
"# https://picamera.readthedocs.io/en/release-1.13/fov.html#sensor-modes\n",
"camera.sensor_mode = 7\n",
"camera.resolution = res\n",
"camera.framerate = 120\n",
"\n",
"# Initialize the buffer and start capturing\n",
"rawCapture = PiYUVArray(camera, size=res)\n",
"stream = camera.capture_continuous(rawCapture, format=\"yuv\", use_video_port=True)\n",
"\n",
"# Measure the time needed to process 300 images to estimate the FPS\n",
"N = 300\n",
"k = 0\n",
"t = time.time()\n",
"\n",
"for f in stream:\n",
" # Get the intensity component of the image (a trick to get black and white images)\n",
" I = f.array[:, :, 0]\n",
" \n",
" # Reset the buffer for the next image\n",
" rawCapture.truncate(0)\n",
" \n",
" # Select a horizontal line in the middle of the image\n",
" L = I[180, :]\n",
"\n",
" # Smooth the transitions so we can detect the peaks \n",
" Lf = filtfilt(b, a, L)\n",
"\n",
" # Find peaks which are higher than 0.5\n",
" p = find_peaks(Lf, height=128)\n",
" \n",
" # Increment the number of processed frames\n",
" k += 1\n",
" if k > N:\n",
" break\n",
" \n",
"time_elapsed = time.time() - t\n",
"print(\"Elapsed {:0.2f} seconds, estimated FPS {:0.2f}\".format(time_elapsed, N / time_elapsed))\n",
"\n",
"# Release resources\n",
"stream.close()\n",
"rawCapture.close()\n",
"camera.close()"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [],
"source": [
"# Run this section if you get the Error: Out of resources\n",
"camera.close()"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x67883e50>"
]
},
"execution_count": 50,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Show the last image\n",
"plt.imshow(I)"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x678a2fd0>"
]
},
"execution_count": 51,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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AXRcOw2G34/b6mtZNjY8gpj6fK3ofwpa/kV0bV5LsPEAfqTrudapMNA04cBGGm3CM3YHTY+gXa0d8bmrrG4i0+4ix+7B5XYT5nNjwHvc8bWUQvPYI3Diw2cDnM7g8Xiv+DeE2wRgfjXkqgA1f0/IwMRhjsGGwyTGZe859cMnD7apLg1+pEFRW62LqI59x36yRnDkkkZteXANAjMPOQ98ay7ZDlWQdrua128+iuNpJclwE4XYb5G+EF2f5d7Je+XSX1ny4soF+8a0f3+/y+NiSV8HoBB+xNblQcxhqili8bhuR7nJGJ4UjPjdxYV7sxg3GR3h4BNjDqffaCHc4CAtzQFik/3yCsEiK6oU6XxipfRLJrfTy1+UHcBLO/ZdNYOLgfhQ3CNUeO4P7JrG92InHFsmEwX2xhzmOOxw1+3A10Q47r36dy79W7yc+KpzfXjGGhVsK6BPnYM7Yftz7xkbK69xN6/SJjaC6wY3T48WGQTA8+u3x3HDWkHa9l50W/CIyAPgX0A/wAfOMMU+KSG/gLWAwsB/4jjGmXPyDaU8ClwN1wC3GmA0new0NfqXa54vdJXzvpTW8/oOzmDE0iSeX7mb60KSmXn2LfD54cSZUF8JdayAqocvqDUWvrcnlt//eRlKMg8z/vrhpf4Pb6+Oe1zdy1eT+XDoutZVnaVl7g78tJ3B5gJ8ZYzaISBywXkQ+A24BlhpjHhORB4AHgF8BlwEjrNtZwHPWvVIqwHKKqgEYnhKLiHDfxSNbX2nrO1CwGa5+UUO/C1wzJZ0wm3BGaq+jdjKH2208//2p3VJTq8FvjCkACqzH1SKSBaQBVwIzrWavACvwB/+VwL+M/6vE1yKSICKp1vMopQIop7iGXpFhJMe2cHZtS9wNsOyPkDoRxl3bucUpACLD7Vx/5sDuLuMop3RZZhEZDEwG1gB9G8Pcuk+xmqUBB5utlmfNO/a57hCRTBHJLC4uPvXKlVLkFNUwzOrtt8m6F6HyIFzyB7DpVdlDVZv/5UUkFngPuM8Yc/xu9mZNW5h33I4EY8w8Y0yGMSYjOTm5rWUopZrJKapleHJs2xq76+GLv8PQC/1X01Qhq03BLyLh+EP/NWPM+9bsQhFJtZanAkXW/DxgQLPV04H8wJSrlGpUWeempMbJ8JQ2Bv/G/4O6Ejj/F51bmOrxWg1+6yidl4AsY8zfmi36ALjZenwzsKDZ/LniNx2o1PF9pQIvp7gGoG3B7/XAV09B+jQYdHYnV6Z6urYc1XMO8H1gq4hssub9BngMeFtEbgMOANdZyxbiP5QzB//hnLcGtGKlFAB7rOAf1pahnu3/hooD/kst6+WRQ15bjur5gpbH7QFmtdDeAHd1sC6lVCsOldcDkJYY1Xrjr5+FPqNg5KWdXJUKBrpbX6kgVVTtJCnG4T8T92QObYD8DTDtB3okjwI0+JUKWsXVDSTHteH4/cyXIDwGJlzf+UWpoKDBr1SQKqp2ktKrlWve1JfD1vf817zXH0FXFg1+pYJUUZWTlNZ6/Jvf9P/04Zm3dU1RKiho8CsVhHw+Q0lNG4J/42uQNhX6je+awlRQ0OBXKgiV1bnw+MzJg//wVijcChNv7LrCVFDQ4FcqCBVX+39x6qRj/JvfBFs4jLumi6pSwUKDX6kgVNQY/Cfq8Xs9sOVtGDkHont3YWUqGGjwKxWEiqoaAEiJO0GPf88yqC3SYR7VIg1+pYJQU4+/1wl6/NvehcgEGDG7C6tSwUKDX6kgVFztJC4yjMhw+/ELPU7IXgSjvwFhjq4vTvV4GvxKBaGi6oYTj+/vWQbOKhh7VdcWpYKGBr9SQai0xkXSiX5ucft/IDIehlzQtUWpoKHBr1QQqqhzkxgdfvwCjxOyF+owjzopDX6lglB5nYuEqBaCfc9y/zDPGB3mUSemwa9UkDHGUFHvJiGmhR7/DmuYZ+jMri5LBRENfqWCTL3bi8vjIzH6mB6/1w07F8KoK3SYR52UBr9SQaa8zg1AQtQxPf7cL8FZCWd8oxuqUsFEg1+pIFNe6wIg4dgef/YnYI/QYR7VKg1+pYJMZb2/x3/UUT3G+I/mGToTHDHdUpcKHhr8SgWZ8roWevzFO6EiF0bpj6mr1mnwKxVkGsf4E5sf1ZO90H8/UoNftU6DX6kg0zTG3/w4/uxPIHUS9OrfTVWpYKLBr1SQKa9zERcRhiPM+u9bUwR562DU5d1bmAoaGvxKBZnyWtfRJ2/t+hQwOr6v2kyDX6kgU17npnfzHbu7F0Ncf+g3ofuKUkFFg1+pIFNe5zpyRI/XA3tXwvBZINK9hamg0Wrwi8jLIlIkItuazXtIRA6JyCbrdnmzZb8WkRwRyRaROZ1VuFKhqqzWRe8YK/gPZfrP1h1+cfcWpYJKW3r884GWBg+fMMZMsm4LAURkDHADMNZa51kRaeEngpRS7eW/JLMV/DlLQOx6tq46Ja0GvzFmFVDWxue7EnjTGOM0xuwDcoBpHahPKdWMy+Ojxuk5ctZuzhJIz4CohO4tTAWVjozx3y0iW6yhoERrXhpwsFmbPGvecUTkDhHJFJHM4uLiDpShVOiosM7aTYxxQG0J5G/SYR51ytob/M8Bw4BJQAHwV2t+S3uXTEtPYIyZZ4zJMMZkJCcnt7MMpUJLWWPwRzv8P7qC8e/YVeoUtCv4jTGFxhivMcYHvMiR4Zw8YECzpulAfsdKVEo1Kq9tdrmGnCUQnQSpk7u5KhVs2hX8IpLabPLbQOMRPx8AN4hIhIgMAUYAaztWolKqUeMF2hKjwmDPUhh2Edj0qGx1asJaayAibwAzgT4ikgc8CMwUkUn4h3H2Az8EMMZsF5G3gR2AB7jLGOPtnNKVCj2NwZ9Suwtqi3V8X7VLq8FvjLmxhdkvnaT9o8CjHSlKKdWyxgu0xR9a6Z8x7KJurEYFK/2OqFQQKat1E+OwE7Z3mf8SDbEp3V2SCkIa/EoFkYp6F2lRbshbq8M8qt00+JUKIlX1Hs4L2wE+jwa/ajcNfqWCSFWDmxlmIzjiYICeFK/aR4NfqSBSVedisms9DL0A7OGtr6BUCzT4lQoiifW5JHmK9Gxd1SEa/EoFkYnO9f4Hehin6gANfqWChNdnmObbRHnkQEgc3N3lqCCmwa9UkKipqWW6LYv8Pmd3dykqyGnwKxUknPu+JFqclKee292lqCCnwa9UkJA9y3AZOw3p2uNXHaPBr1SQiD64kvW+UUTHxnd3KSrIafArFQyqC4kpz2KVbwJR4foz1qpjNPiVCgZ7lwOwyjeeKIcGv+oYDX6lgkHOUhocvdlhBhEZpsGvOkaDX6mezueDPcso6DMDg017/KrDNPiV6ukKt0JdCQcSZwBoj191mAa/Uj1dzlIA9vY6E4CIcP1vqzpGP0FK9XR7lkHf8ZRJIiIQEab/bVXH6CdIqZ7MWQMHvobhF9Hg9hIZZkdEursqFeQ0+JXqyfZ/AT43DLuIBrePSB3mUQGgnyKlerI9SyE8GgbOoN7t1ZO3VEBo8CvVk+1ZBoPPhbAI/1CPBr8KAA1+pXqqsn1QmtP0oysNbh8RGvwqADT4leqpdi/234+YDYDT4yVKx/hVAOinSKmeatcnkDQCkoYBUO/SoR4VGBr8SvVEzhr/ET0j5zTNavDozl0VGK0Gv4i8LCJFIrKt2bzeIvKZiOy27hOt+SIiT4lIjohsEZEpnVm8UqetfSvB6zo6+N0+7fGrgGhLj38+cOkx8x4AlhpjRgBLrWmAy4AR1u0O4LnAlKlUiNn1CUT0goEzmmbVu7x6uQYVEK1+iowxq4CyY2ZfCbxiPX4FuKrZ/H8Zv6+BBBFJDVSxSoUEY2DXYv/RPPbwptk1Tg9xEWHdWJg6XbS3+9DXGFMAYN2nWPPTgIPN2uVZ844jIneISKaIZBYXF7ezDKVOQwWboebwUcM8Pp+hqsFNfFT4SVZUqm0C/b2xpYuImJYaGmPmGWMyjDEZycnJAS5DqSC2ezEgMPySplnVDR6MgfhoR/fVpU4b7Q3+wsYhHOu+yJqfBwxo1i4dyG9/eUqFoF2fQNpUiD3SIaqsdwNoj18FRHuD/wPgZuvxzcCCZvPnWkf3TAcqG4eElFJtUFMMhzbAyKOPp6iodwEa/CowWt1TJCJvADOBPiKSBzwIPAa8LSK3AQeA66zmC4HLgRygDri1E2pW6vSVvRAwR43vg/b4VWC1GvzGmBtPsGhWC20NcFdHi1IqZGV9AAmDoN/4o2Zr8KtA0oOCleop6itg70oY8y045sdWKur8wZ8QrcGvOk6DX6meYten/h9dOePK4xZpj18Fkga/Uj1F1gcQl+o/oucYVQ1uHHabXrJBBYQGv1I9gasWcpbCGd8E2/H/LWudHmIj9axdFRga/Er1BLs/A0+9P/hbUNPgISZCe/sqMDT4leoJsj6A6CQYeHaLi2ucXmIc2uNXgaHBr1R3c9VC9icw+htgbznca50eYvUCbSpANPiV6m47F4K7FiZ854RNal0eYjT4VYBo8CvV3ba+Db3STzjMA/5LMuvOXRUoGvxKdafaEv/RPOOvbfFonqZmTg+xOsavAkSDX6nutP3fYLwnHeYBqHV6dahHBYwGv1LdadPrkDIW+o49YROfz/iHevRwThUgGvxKdZfDWyF/A0z5/kmb1bm9ADrGrwJGg1+p7rL+FbBHwITrT9qs1ukB0KEeFTAa/Ep1B1cdbHnbfyXO6N4nbVpa4/8RlrhIvUCbCgwNfqW6Q9YH4KyEKTe32vTLnBIApg5K7OyqVIjQ4FeqqxkDa16ApOEw+NyTNl2RXcSjC7MYkRJLWkJUFxWoTnca/Ep1tYNr/Dt1p//ouB9cOdbqPaUA/OHKcV1RmQoRGvxKdbXVT0NkAkw80a+aHrG3pJYRKbHMGJbUBYWpUKHBr1RXKtsHOz+GjP8CR0yrzfeX1DKkT+vtlDoVGvxKdaWv/gFig2k/aLWp12fILa3T4FcBp8GvVFepOAAb/gWTvw+9+rfafNWuYlxeHxMHJHRBcSqU6BkhSnWVlX/x78w9/+cnbOLx+vh0eyHhduGRj7Po1yuSS8b07cIiVSjQ4FeqK5Tu8V+XZ9oPID79hM2eX7mHxxfvapp+9bZphNv1i7kKLP1EKdUVFv8OwiLg3Pu5/ZV1PLM8h4NldTRY1+EBqKxz89qaA03Tz39vCueNSO6OatVpToNfqc6261PI/hgu+BWHvPEsySpi+c4izvvLcm6Y93VTs8cXZ1Nc7WyaPmuIHsKpOocO9XQjr89w/1ub+P6MQZw5+OTXa+luXp/Bbjv5yUbdwRgDgIjg8fqwiWBrpc7KejdR4XYcYV3Q73E3YBb9Emf8MH669yzOlMMAZOaWA7DpYAVltS7mf7WfV7/O5bqp6QxLieXz3cUkxjg6vz4Vkjr0yReR/SKyVUQ2iUimNa+3iHwmIrute73AyAkcKq/ng835XPf8aj7YnH/U136ADQfK2Xaokg9bWNZRZbUuNh2saHPbYb9ZyOvNhiF6AmMMQ369kP9ZtBNjDHP+voq739jQYtt9JbUUVjWwek8pEx9ezHdeWN3u191fUsve4poT1rRyVzFr9vrPuD303q+R8v38xjmXhTvKeG7FnuPWWbuvjH9+vhdHmI17LhrBnRcM47Xbp7e7PqVaE4ge/4XGmJJm0w8AS40xj4nIA9b0rwLwOsfz+fxHSbRy2nt7Vda5eX7VHr43fVDAr5Pyf1/nUlTV0DR97xsb+dklI7ln1ggASmqcXP3sV03LH7t6PDdMGxiQ125we5nyx88A2P3oZZTUOHnlq1zuuWg44XYbTy7dxR3nDSM+2n81yO35lQA89OF2DpbXcef5R5YB7Miv4p9f7OXKSWlcMLJzxqSdHi/Pr9jLVZP7MyjJf1x7cY1/WGTeqr3MGp3CnuJa9hTX4vR4iQjz/2jJiuwiVu0q4Y21BxiaHENyXATg72l7vD7CTmHH6Zc5JRwqr+fJpbs5VFHPip/PZGDvaF76Yh9nDe3NhPQE/vn5Ph5dmAXA5psgbefLzPfM5v0K/79rUbWT1PhICiqP/Nu/+vV+6lxeXr4lg4FJ0R1/s5RqRWcM9VwJzLQevwKsoJOCv3bHYiI++hH0n4y770SeyopjxnkXc/7UCa1NEPOmAAARJ0lEQVSu+9iindQ43Txy1fjjlv3vpzs5WFZPZb2blbuKWb6ziH/dNo2UuMimNtUNbmwiGCD2JNdJb3B7cXt92G1CmM3G9vxKfvzahqP+449J7UVlvZtXv87lrguHI3LkioyN1ueWk19Rz6a8Sp797pSTvuaxSmuc9I5xUFzjJCUukg3WMAP4e8KrdhXz/Mo97DxcxVWT0nhm+R6q6j388Sr/9WHW7SsDwOXx8dyKPYTbbfx45jCcbh/x0eE89slOVu0qJq+sngtGJvP0st3kVzbwp2/739t739jI6NQ4fjxzuP9FPU7+9P5qtuzO5cfTk1iycRd3T09CGiroRS12VyXSUImruoycg3mMSLRTWuvmghonZatshMdHUe6NotzE8GCYg3ITR9EXO5kqQq7pxydbC8jMrWDRtsOU1BwZM9+eXwXAgN5RHCyrJ7uwmkFJMcRGhPl/5crl4akluymrc/HoVeM5UFbHiJRYAG7/VybLdhYRZhM8Pv/w0pvrDpISF8GjC7PoExvB4KRoMnPLiXHYiXMVEfHRgxwIH8L/NNxERJgNp8cHwAOXjeb5lXs5o18cX+0p5cucUiLCbMwY2qfN/6ZKdURHg98Ai0XEAC8YY+YBfY0xBQDGmAIRSelokSeyodROfs0EpuzLYdjeFfwKL3z4MGZFKtJvAiSPhD6jIHkU9BkJUf4TYV5fc4DnV/q/ct96zhCiwu3sLqohLSGKgsp63snMo8jayZaeGMXOw9VMe3Qp7/1oBlMH+cfiJ/3hM7w+Q2xEGG/9cDpj+8e3WON3XljNlrxKZgxNYnNeBRFhNsrr3Ee1+fjec3lvwyF++c5G9hRWsL+kml+8uYEI/AHjsMPH63Oa2r+8PIJ7LxphfdMRVu8tpd7tI9IRRmJMBE6PYdKARBDhRasHOnFAApsPVrDkpxew83B103PtPFzNzsPVhNmEFdnFTbW9te4go/rF4TOGp5btJgI3DjxE4Ka+aB8/eWY94T4X35uaguRs5Bu2Onrn11Oz7CvsK7YyTuoxphdV5WV8L/cg8Vm11H/twuGuwu5t4DeNBXwO5wMsOfJ+1Jgoamyx1NpiqXFFkV0TSb0zjAbjQDDUVniJlRLSyWW8vZp4qYO98E1/Z57i/8TTyzeYZDOETNso8ntN4tlbz2PuS2s5XNXAf18xhh++up4rnvoCgGdumsKfFmZxqKK+qYbVe0opqGzg8esmsm5fGct2FgE0hT7Asp2FJMX4X7Skxtn0R+aRywYxbvEvcTvr+S/XAzhx8Oz1k7jvrU24PD6+NbE/V05KA+C2+es4XNXAxPQEohz604qqa0jjzrF2rSzS3xiTb4X7Z8A9wAfGmIRmbcqNMceN84vIHcAdAAMHDpyam5t7yq9/uLKBpTsL+d1/tuEwTsZILhNte7h/bC29KrKhNAe8R3p8DbYYiE9jTUkkBaY3xSQQFdebAlcEh+oj6JeSwvaiBtwmjAHJ8VS74cErJ3H7K2sJw8t1k/uRFu+gus7J22v3ESFuonHSN8rHA7MGEmtzgbvO/yMbbv/t32t3E4WLSFxE4CZS/I/jwrxE29yE+Zz0snswngbEBHYcv5HP+L+ZGASx2TCAz4Axgs1mw2sA8Y+c+RAMQuOnIgIPEeI+8ZO3wGuEaqIhsheFTgdl3hgqiaHS+O9d4XEUe6IgIoH9dY6m+RUmBolMoKzB1+Lz/mLOKHJLa3k7M++o+Q7cpEsxt4+zcWDXFob79jKzVz696/ZhM16MLRwZMA3XwPMpSbsQR9pEMh5d2qZtGdg7mgNldU3Tdpvg9RmumZLOexvyEIFrp6TzWVYhFXVuEu0NrB38PPb89dzs/AWf+ybwu2+M4bZzh3C4sgGbQEqvI98csw9Xc/PLa3nwm2O4bHzqKb3PSonIemNMximv15HgP6aAh4Aa4AfATKu3nwqsMMaMOtm6GRkZJjMzs92vPeuvK9hTXMvE9Hg251XyzE1TuGJCKvi8UL4fU5zNP95ZRJyzkFQpo7+UMja2Glt9KWJaDpmOMGLDbYukxueg2uuggSM3pwln1IAU+ibGY8IjkbAoCI/C2CN47ouDDE6OwybClkNVzByVwrQhSRyudvHyl/sxCOP692JHfiWCIcIuDE2OIftwFf6+v7Fu1mPxP75p2gC25ZWz3VpPgPSESBrcXspqnQiGCWm9KK52UlRV37T++PR48msMU4b2Iz05EQmL4P0tJaw+UMOI/smsP1RHAw7uvWIqw9P7c+OrO9hfE4Y9MobqhiN/xKYOSuQv105g1l9XNs27ekoavSLDmf/Vfq6bms476/OIDLex7aE51Dq9/PHjHRRWNdArKpyPtxQA8PYPZ2C3Cdc89xUtef/HZ1Pv8rJ4+2Ee+tZYxF0HB1bD3pWwbyUUbAEMJmEg88vGsdCdwXozEh827rt4BH9fsvuo55s0IIFNBytwhNlYfN/5/O2zXcydMYjX1xzgT1eP5+fvbOajLQU8cf1EfD6oKdrPzQd+A4Xb4Zp/YsZcBfiPODrp58WYVtso1ZL2Bn+7h3pEJAawGWOqrcezgT8AHwA3A49Z9wva+xpt1fin67bzhnLvGxt5+MPt7Cupwe01XDU5jf9ZW87i2kub2s8e05d5czPA5+O9r3fytw/W0kvq6EUdN2X0o3ekcO7QeMTnBq8HbDYOVbl5fd0hsgrr8GLHiI0bZoxg1oQhPPzJPpbvraWOCH+4Ew4c/R956qBE1ltj68uvngl9Yo5qIcDBqq08uSGP/glRJA+I4JdzZwDQ1xjmrVrIjKFJ9B6ZzAsHd/pX8gKH4OYZgxjTvxdr9pXx/oZDR73u0OQYfvKtmVwIJB6s4PNdxf75o1N4bU0ub6w9SFxkGItvOp83F+1kwaZ8Jg9M4J6LhnPm6OMvFZAxso7ogiqGp8Typ7+tZGhyDJNnXIDNJjz9wyEs2naYMf17cev/W9e0TrhdGJYcyz/nZjCybxxbDlVwzrA+OD0+pg9NYsawJN5Zn8e3J6cTZrcRH23j8esmApBbWtsU/JMHJmAX4Y9XjiUxxsGY1F4crmwgJiKMereXKQP9XyzPGW6NlTtiYPjF/htAbQlkL0SyPuK7FYu5NWIhJaYXS71TODPye0ydexZ9kxKZ/cQqrp2aTr3by6aDFcwancLgPjE8deNk/3tgHXr7+HUTOW9EHy4bl0rk7o9g60/B44QbXoeRc2hrlGvoq67W7h6/iAwF/m1NhgGvG2MeFZEk4G1gIHAAuM4YU3ay5+poj//LnBL+/MlO3rxjOve9uYnFOwqPa3PjtAH0iY3gH8ty+OWlo47saMR/uGJWQRW/X7CN+bdOY0Dvlo+sMMZQVuuiusFDmF1IT/S3O1zZwE3//Jq9xbUtrvf4dRP59uQ0Fm0r4J+f7+O9H53d4jHxOUU1XP7U57g8Pq7PGMCfrz2yk7qizkVkuJ2cohpunb8Oh91Gn7gIfjF7FOcMT0JEMMZQXufG5fHx2ppc/rEsh4tGp/DyLWe2WNczy3P430+z+cWcUdx14XCWZhXyt892MW9uRqtHMXl9hutfWM2t5wzxf7tqxuP1cf28r7lqchpvrDnAH68a1+rPBpbWOImNDGs6GqeRMYbvvbSGKyem8Z0zB5z0OU7Fht0HWPTvV5mbuJXe+SuJMXUQFgXDLqR60CVEjbqI5Ycj+fvS3bw4N4P+Lb0fPh/sXQ5fPAH7P4fUiXD1i/59Skp1gW4f6umIjgb/sZZnF7HrcDXvrs9jd1EN/3XOEH7/zTFU1rv5x9Ld/OTiEZ3yw9ULNvl72xV1brbkVXLz2YP4z8Z8fnnpKCLD27bjbtWuYt5dn8et5wxm8sD2nwLx3vo8fvbOZi4Z05cX57b8uaisd/P0st385OKRp3SU0GnH44LcLyF7EWQvhMqD/vmx/SBtKiQN819fJzwafB6oLYbDW/3DSLXFEJMM5/0czrwN7PqD6KrraPC3YG9xDRsPVDB7bN9OCfqebF9JLRc+voLnvzeFS8fpTsM2M8Y/Rn9gNRxcCwWboHw/eF1Ht4sfCIPOhpGzYfQ3/NfhUaqLafCr47i9Pr2yYyD4fFBf7j9SS2z+Hn6YXk5Bdb8u37mrej4N/QCx2SAmCdCLpqnTgyaDUkqFGA1+pZQKMRr8SikVYjT4lVIqxGjwK6VUiNHgV0qpEKPBr5RSIUaDXymlQowGv1JKhRgNfqWUCjEa/EopFWI0+JVSKsRo8CulVIjR4FdKqRCjwa+UUiFGg18ppUKMBr9SSoUYDX6llAoxGvxKKRViNPiVUirEaPArpVSI0eBXSqkQo8GvlFIhRoNfKaVCjAa/UkqFmE4LfhG5VESyRSRHRB7orNdRSil1ajol+EXEDjwDXAaMAW4UkTGd8VpKKaVOTWf1+KcBOcaYvcYYF/AmcGUnvZZSSqlTENZJz5sGHGw2nQec1byBiNwB3GFN1ohIdjtfqw9Q0s51Twe6/aG7/aG87RDa29+47YPas3JnBb+0MM8cNWHMPGBeh19IJNMYk9HR5wlWuv2hu/2hvO0Q2tvf0W3vrKGePGBAs+l0IL+TXksppdQp6KzgXweMEJEhIuIAbgA+6KTXUkopdQo6ZajHGOMRkbuBTwE78LIxZntnvBYBGC4Kcrr9oSuUtx1Ce/s7tO1ijGm9lVJKqdOGnrmrlFIhRoNfKaVCTFAHfyhcFkJEXhaRIhHZ1mxebxH5TER2W/eJ1nwRkaes92OLiEzpvso7TkQGiMhyEckSke0i8hNr/mm//SISKSJrRWSzte0PW/OHiMgaa9vfsg6eQEQirOkca/ng7qw/UETELiIbReQjazpktl9E9ovIVhHZJCKZ1ryAfPaDNvhD6LIQ84FLj5n3ALDUGDMCWGpNg/+9GGHd7gCe66IaO4sH+Jkx5gxgOnCX9W8cCtvvBC4yxkwEJgGXish04M/AE9a2lwO3We1vA8qNMcOBJ6x2p4OfAFnNpkNt+y80xkxqdsx+YD77xpigvAEzgE+bTf8a+HV319VJ2zoY2NZsOhtItR6nAtnW4xeAG1tqdzrcgAXAJaG2/UA0sAH/2e8lQJg1v+n/AP4j6GZYj8OsdtLdtXdwu9OtcLsI+Aj/iaGhtP37gT7HzAvIZz9oe/y0fFmItG6qpav1NcYUAFj3Kdb80/Y9sb66TwbWECLbbw1zbAKKgM+APUCFMcZjNWm+fU3bbi2vBJK6tuKA+zvwS8BnTScRWttvgMUist66xA0E6LPfWZds6AqtXhYiBJ2W74mIxALvAfcZY6pEWtpMf9MW5gXt9htjvMAkEUkA/g2c0VIz6/602nYR+QZQZIxZLyIzG2e30PS03H7LOcaYfBFJAT4TkZ0naXtK2x/MPf5QvixEoYikAlj3Rdb80+49EZFw/KH/mjHmfWt2yGw/gDGmAliBfz9Hgog0dtiab1/TtlvL44Gyrq00oM4BviUi+/Ff3fci/N8AQmX7McbkW/dF+P/wTyNAn/1gDv5QvizEB8DN1uOb8Y99N86fa+3hnw5UNn4tDEbi79q/BGQZY/7WbNFpv/0ikmz19BGRKOBi/Ds5lwPXWs2O3fbG9+RaYJmxBnuDkTHm18aYdGPMYPz/t5cZY75LiGy/iMSISFzjY2A2sI1Affa7ewdGB3d+XA7swj/2+dvurqeTtvENoABw4/+rfhv+sculwG7rvrfVVvAf6bQH2ApkdHf9Hdz2c/F/Xd0CbLJul4fC9gMTgI3Wtm8Dfm/NHwqsBXKAd4AIa36kNZ1jLR/a3dsQwPdiJvBRKG2/tZ2brdv2xnwL1GdfL9mglFIhJpiHepRSSrWDBr9SSoUYDX6llAoxGvxKKRViNPiVUirEaPArpVSI0eBXSqkQ8/8BMcT0he1tanUAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Plot the pixel intensities along the selected line\n",
"plt.plot(L, label=\"raw\")\n",
"plt.plot(Lf, label=\"filtered\")\n",
"plt.ylim([0, 300])\n",
"plt.legend()"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(array([347, 452], dtype=int32),\n",
" {'peak_heights': array([217.37741025, 206.4504596 ])})"
]
},
"execution_count": 52,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"p"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}