{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Neighborhood definitions\n", "In py-clEsperanto (and in [CLIJ as well](https://clij.github.io/clij2-docs/md/neighbors_of_neighbors/)), we're using adjacency graphs to investigate relationships between neighboring labeled object, in practice: cells.\n", "\n", "This notebook demonstrates the considered neighborhood definitions. \n", "\n", "We consider the \"neighborhood\" of a pixel always includs the pixel itself per default. That sounds intuitive in the first place and leads to some unnatural behaviour in some situations.\n", "\n", "Work is in progress. Feedback is very welcome: robert.haase at tu-dresden.de " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pyclesperanto_prototype as cle\n", "import numpy as np\n", "import matplotlib\n", "from numpy.random import random\n", "\n", "cle.select_device(\"RTX\")" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Generate artificial cells as test data\n", "tissue = cle.artificial_tissue_2d()\n", "\n", "# fill it with random measurements\n", "values = random([int(cle.maximum_of_all_pixels(tissue))])\n", "for i, y in enumerate(values):\n", " if (i != 95):\n", " values[i] = values[i] * 10 + 45\n", " else:\n", " values[i] = values[i] * 10 + 90\n", "\n", "measurements = cle.push(np.asarray([values]))\n", "\n", "# visualize measurments in space\n", "example_image = cle.replace_intensities(tissue, measurements)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example data\n", "Let's take a look at an image with arbitrarily shaped pixels. Let's call them \"cells\". In our example image, there is one cell in the center with higher intensity:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cle.imshow(example_image, min_display_intensity=30, max_display_intensity=90, color_map='jet')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Touching neighbors\n", "We can show all cells that belong to the \"touch\" neighborhood by computing the local maximum intensity in this neighborhood. Let's visualize the touching neighbor graph as mesh first." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "mesh = cle.draw_mesh_between_touching_labels(tissue)\n", "\n", "# make lines a bit thicker for visualization purposes\n", "mesh = cle.maximum_sphere(mesh, radius_x=1, radius_y=1)\n", "\n", "cle.imshow(mesh)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From those neighbor-graph one can compute local properties, for example the maximum:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "local_maximum = cle.maximum_of_touching_neighbors_map(example_image, tissue)\n", "\n", "cle.imshow(local_maximum, min_display_intensity=30, max_display_intensity=90, color_map='jet')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Neighbors of touching neighbors\n", "You can also extend the neighborhood by considering neighbors of neighbor (of neighbors (of neighbors)). How far you go, can be configured with a radius parameter. Note: Radiu==0 means, no neighbors are taken into account, radius==1 is identical with touching neighbors, radius > 1 are neighbors of neighbors:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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DmW5TmJSrsUEC+edNslKA9IPCpDyNP/2bDJN1vAeEG9LMM8NaPgiyLalOkdPCi0zp1HAJGh8kSe+xjmkW6i5DWk5hEl6jhzbSfqtYYFXA8A919auGOWH1Okg0rClXyAApg8IknNYFyQLTdZcgEwzrQpoaKllvSSjDtS5IQJ1EkzU1MIaJ33elMCmudUFyNScBhUmTxB3IpBApGjIh3x08SGFSTKvO2sQhEkuGyQesrbaYnssbCqtY4GwDhqfD3gVe1W0Ju2hiR2JmG83s52Z22MwOmdk3ouWXm9mzZvZG9P2yxGseNLOjZnbEzO4MUehgiAxayweZuhR1NPmEPguTVshuZNKtJFZzRh1KRmmGNovA37n7nwB/DtxvZtcDO4B97r4Z2Bc9J/rZVuAG4C7gETMrND0+KUSS0gaKOpjsQgVIW+ZRFCbpTQwSdz/h7i9Hj+eBw8AGYAuwK1ptF3Bv9HgLsNvdF9z9LeAokP6TlgLJ2qFIP2S9sZXCJJ1McyRmdh3weeCXwNXufgKWwsbMropW2wD8d+Jlc9GyzLJ0IqMMzqMoXJohzVxJsnOJH9dxO82Qn4TXVanP2pjZpcATwDfd/XfjVh2yzIdsb7uZ7Tez/R+/+/6yF4QIkUEKkXYYNw8zw3zuTwTQJwmUJ1WQmNlKlkLkR+7+42jxSTNbH/18PXAqWj4HbEy8/Frg+OA23X2nu8+6++wlV15+0c/KCBFpnmEXraWdP4kDJfk1af0QNNQZLs1ZGwN+ABx29+8mfrQX2BY93gY8lVi+1cymzWwTsBlo1wejSGXi4AgxATsqUNSJlC/NHMktwN8Ar5rZgWjZPwDfBvaY2X3Ab4CvArj7ITPbA7zG0hmf+9099Vst1Y30T+izOAqO6k0MEnf/BcPnPQBuH/Gah4GHsxajEBFpp8ZcIq8QEWmvRgTJCj6quwQRKaARQSLSJjpzs5yCRCQHhcnFFCQiOSlMLlCQiBSgdwovUZBIKm15x25d+h4orbqxkVRPAZJNX2+OpCCRiyg4wuhboGhoI0B9dz7rur4MdxQkogCRwjS0Eem5MwGGXwqSnlM30k1nWMOaaFgVIigmUZCIdEwcHFUESExzJCIdUmV4JClIRKQwBYlIR9TVjYCCREQCUJCIlKyKi9Lq7EZAZ21EKrGaM4Uul687KCZRkIhUZLAzmRQsTQ+PJAVJD+kitGYY9sa+NoVHkoKkRxQgzbSaM5xmXd1lFKIg6QEFiJRNQdJhChCpioKkYxQeUgddRyIihSlIRKQwBYmIFKYgEZHCFCQiUpiCREQKU5B0iE79Sl3M3euuATN7F/g98F7dtWS0jnbV3LZ6QTVXYVS9f+DuV6bZQCOCBMDM9rv7bN11ZNG2mttWL6jmKoSoV0MbESlMQSIihTUpSHbWXUAObau5bfWCaq5C4XobM0ciIu3VpI5ERFqq9iAxs7vM7IiZHTWzHXXXM4qZvW1mr5rZATPbHy273MyeNbM3ou+X1Vzjo2Z2yswOJpaNrNHMHoz2+xEzu7NBNT9kZu9E+/qAmd3dlJrNbKOZ/dzMDpvZITP7RrS8sft5TM3h9rO71/YFTAG/Bj4NrAJ+BVxfZ01jan0bWDew7J+BHdHjHcA/1VzjF4GbgIOTagSuj/b3NLAp+nuYakjNDwF/P2Td2msG1gM3RY9ngNejuhq7n8fUHGw/192R3Awcdfc33f0ssBvYUnNNWWwBdkWPdwH31lcKuPtzwPsDi0fVuAXY7e4L7v4WcJSlv49Kjah5lNprdvcT7v5y9HgeOAxsoMH7eUzNo2Suue4g2QAcSzyfY/wfsE4O/MzMXjKz7dGyq939BCz9ZQFX1VbdaKNqbPq+f8DMXomGPvEwoVE1m9l1wOeBX9KS/TxQMwTaz3UHiQ1Z1tTTSLe4+03Al4H7zeyLdRdUUJP3/feAzwA3AieA70TLG1OzmV0KPAF8091/N27VIcuaUnOw/Vx3kMwBGxPPrwWO11TLWO5+PPp+CniSpVbvpJmtB4i+n6qvwpFG1djYfe/uJ939nLt/DHyfC211I2o2s5UsHZA/cvcfR4sbvZ+H1RxyP9cdJC8Cm81sk5mtArYCe2uuaRkz+4SZzcSPgS8BB1mqdVu02jbgqXoqHGtUjXuBrWY2bWabgM3ACzXUt0x8QEa+wtK+hgbUbGYG/AA47O7fTfyosft5VM1B93OVs8cjZpTvZmkW+dfAt+quZ0SNn2ZpFvtXwKG4TuAKYB/wRvT98prrfJylFvUjlv5XuW9cjcC3ov1+BPhyg2r+N+BV4JXoH/X6ptQM/AVLbf4rwIHo6+4m7+cxNQfbz7qyVUQKq3toIyIdoCARkcIUJCJSmIJERApTkIhIYQoSESlMQSIihSlIRKSw/we5d/E4zkOtjQAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for radius in range(0, 5):\n", " local_maximum = cle.maximum_of_touching_neighbors_map(example_image, tissue, radius=radius)\n", " cle.imshow(local_maximum, min_display_intensity=30, max_display_intensity=90, color_map='jet')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## N nearest neighbors\n", "You can also define a neighborhood from the distances between cells. As distance measurement, we use the Euclidean distance between label centroids. Also in this case you an configure how far the neighborhood should range by setting the number of nearest neighbors n. As mentioned above, neighborhoods include the center pixel. Thus, the neighborhood of a pixel and its nearest neighbor contains two neighbors:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "n = 1\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "n = 2\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "n = 3\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "n = 4\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "n = 5\n" ] }, { "data": { "image/png": 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Y83CWk10YGMHFJ1tL9/Ywc9KRkby1yl4j6923SLSOjJNlB1mFAYtM1oED+JKtF0EklhM60rTDYvhoGdGiR0bDVJSgljIyyqolWayGNIasltxM22IiSiTT95FY2d3Sd1F7nsHqkeRqCdFS3uhY2ZUKxty2qmLRKl5EloU4tyCE3lcGpieSJTJOs6jsmnyvQbLLfDXZtefZG2gplz23EX0snzM2W+ug8sIyv5kkYcHURNLbABa2H3UtrZvJ6ul4NmdPxyy5S2SWQBlz25JvlWmRl+FBRCsuEVlZHtG0RMI4ob0kEmV0byK1dJ2dRI0QzZ5kklGZGH0fr0fJ9HhLckfXKTOsmpZIlhg5SUcNkZXArF3PyGvUMEJQ0dyTR/59j9xP9SI9RMWs8FgRCXdbuZyoLgxMTySWF+4Zv3fSLG6tZ5NaN+cM/QDAOPllkNXo2q2RSaoZng47r8WozLUwPZFEkZHoYholM14uye/dZ5WdGeYs5TMNPmOOo54OuxqXVXHzYnoiObu/va8SIoZoOdmiMhmbpuQ9bRU+RcfJmI/1s4xciycP58X6+RF9e2SS7Y0AEzakAdvmEVqwuNx7nALW/gy20ZzHKL175mZjICNZe+uNt4Q26eh8svTrjXfRna3AWMyclXeYYROMIotIWmPNPF+ZlR92tY3VM9WSxySSi/ulvfseud8Uh85m0D33k70RM1zY1ryO6N2SN+sBwLItdjVsb0xPJKWFW5NJL/vNZve1fgyc9czOS0QxupGssf4yQcpet4jMJWo2+XhGl0hE5G0A/gGAr6jqi07XrgfwmwBuAvAFAD+tql8/ffZGAK8D8BiAf6aq90WVbCUULfV1lgH1xrGg5E5GmsZqz2e8swWjfTjL59le2eN9k28Bi0fyawB+GcB/Xly7C8AHVfUtInLX6eefF5EXALgdwAsB3AjgAyLyN1T1MYayvZNgacRRg4xu+J5MFtZ6rsl2qzxJtMGLdQCUDhiWp7OUH0XNpmYN6Xroln9V9cMAvra6fBuAe07f3wPgNYvr96rqN1X18wAeAvDSiIKliWYntlr3rg1yRF4JVs+ihZKemf0f1gYqrxxmeMi8z/vc2TYtXzV5rMPvrA9DrgWjfSTPVNVHAeD07zNO158F4IuL+x4+XfseiMidIvIxEfnYt/DN7/rMWzs/Y91TEiUcZr6CvZCejH+GEY0SeklOCyxyYJ/0rPc/y4qiRiJbkQm7IU0K14r1ZVW9W1VfoqoveSKucw9kPR09E7lVcjXac2E50TNDmoxmvSUywqTeM637WvJHN2qm92DJG7Jh6iMRkZsA/PYi2foggJer6qMicgOAD6nq80+JVqjqvznddx+AN6nqR1ry130kQN84aslWSwKv94zXED3EYN2EltDHaiCMpqnes7X1GL3PMnZ0PhjrVro/cu/IWnnfx9oAt8VfSHsPgDtO398B4N2L67eLyHUi8lwANwP46MgAo6d2yeVsJWhHjXHkBGnJ9rr4HkJgnZrRZ7zyWnoz8izWnpioh2T9bOReKzFnhzhdIhGRtwP4CIDni8jDIvI6AG8B8EoR+SyAV55+hqo+AOAdAD4N4H0AXs+q2JQQ3ZhRg8lcHAbZWWRb7/EYak8euz8ksm5r+Ws9Rw6Ws6wRPaLl8y2eLcFStXmtqt6gqk9U1Wer6ltV9c9U9RWqevPp368t7n+zqj5PVZ+vqu9lKbos3wHjCVnGvVZ4Nw/7nVrPeU5N72bqeQ8eRAmsh7VdRcBMzveeGZGVmSuZ+rd/GdUHy6mSXX6MnMCMk7z2vKX8uLf3UJLL3vS1vFqGXIv8rcJcJqZvkR+Bx9AYm3MdhqyvReQtrzNQ0/f8PXtM1qZnnsy9sTIw4p1mEj0bF0sk2Q02HpQ25/KzHrJ7IEryamQSHXMp21p5mwWZZB1B7XBiJoGjmPLPCKyRbXDZoU0UW5ySvfFm2/RZYM41w7O0rhG79wS4An+PZI3RBdkyxPGOVxs7K7dQw94EEVnHyJysk/ZZIcPe87uG532v1N8jGV2I0kStQ46ee89AROY6TMg+LXu6RGUz9GfMSe1gYtvD1iQy0qDIwvREsoTViKynSyQp2hszKuOscwaZWDYSu1pz/ozh2rPWrZQX2tMerPbcureHLHKbuvxbQq/b0dtQxGgqaxGXVSb7vtqzJV2zwqaSbHZPiVeeJ7HNsIda01npqyfLcn0vTE0kFhd5pELQ2jhRw1x6EqNgVVCWsJxqjE1UQvbpyb6PkXthyVvKiJJyJvlMTSRLMDe/RzZDTk8/C8lFNvmoF8L0HqIkxSZXq6fqISlrSM2c11ESZXuhF0Mka7Q23Mhksw29di0Cr44e46597pkLZj8M+7SNhoTez3vEZ10/lqzW8wxcLJGMxo7MzHZtoT3yIgnOXmJzCU8uJNNQvSd9S55Vz9HT2ELcnnnOzhftiWmJxLtJrM+2kHli9p5hbfKSFzIC75wy5yOz/4ed//DKZh5kI150FgFN25BWOqktp3erV8S7iJYqwYg3sn6frGQky2h6cxiZ49JzTHmMknZJfmmsUXmMOR15/94YW/xho03hOWUZlQer+x3xIkZyAOuv1njMkyejmmPxeDzvwCK49fOWuR6BtXjA8lSzQ6EpG9K8G9ibufaGMCNx/Rpr76ikFwOZPSElPZlzwqi+1doBSpilF2NpYxGw59ODKYmkh+gE1Z5fLmbPKLPLpzOjZvgjm6FGUGxCnHEt1jbWOmxmx5Q5kkudzGxYcja1+xjYs7y7BywhXVazoEV2JMFqCZ+u1C/tWeGJuWczYkaytXS6sdE7MWebVwtGE5nZc90af+T5x2WOZI3R/opSzFhLRGZsAmbfgHW8vclkRmQknreY60ua54sgEg/WCVWr4XvIhVXuixhKS7ctT8tR9MIGZkk8Mg+9ig2rZ4fV+9Rqf8jElSISa6Y+urnYWfaovF4pkUkm7FwB09DZm8hTQs0iK8vYFjnZh8rFJFutdffavd66eq1UPCrHqpvXYNj9CBZZS3mjY/TkMWT1PrPK9azxaAPd+VmG92xpPGMnWy+iIa0Fq6GwKgpZnoNlbMvntfGYYVTtPbz9PC15LFlb9hxZ5J890CWWebue/ksZkaoNGxdNJIzTpnXdQkqeBa1h1Ngt7xslk/V8WAzdg4i80UOESdYe+aPz3/M6PR5RVs7kYohkPQEjJJKRva/p4x3bIo+RkPOcyBknHivc8q7/SMjh0c+z2ZfPWBv7zvfOmjyfmkisk8aaXK8R9Ta/1z32kBNzE1o+j8T+pc8ySd0CJlGX9FhWzkr3RYiv9XyLtNa6MTE1kVjgNaJofN+TlxXmbBU+jZII6/Tu6bLFuN57a2CVtUdDIkbYbcX0RNJieVYlIpJrKd2/XMARHVlueu85S7g4y2lfkhWd26VOo/otN2zPg2QdeudxvfdmhkUX10fCmJRWmS2ySXsbyHsisryRmtyz7JLuo5t0KxKJoDQH689ZYzKS0WeSKpVul2O0wpdsz2TqPpLsuG6NLHeWCeapwtqUVpmjIQ2L6HrjjMDy/izP2TK+9TmLjMflL+1FkeX21U6Rq4KM9/J6DFsg4qH1SrgRzGJXF0EkW0wWY7Frbn2kbFdyUWc5jZljbl2hy5Dfq1ixw+aZcBFEUgN70ZknxzrHwQ5J2D0Yo7knloGzKzQRPRjjzNLvUdLjKP+CnzfJ7EFheTgljyZSZVgiKnfZKNXrfYiAvTFbSfDRcmsJDHttye599cCa1y6RiMjbROQrIvKpxbU3iciXROT+09erF5+9UUQeEpEHReTWqIIZzTWtzcQ0Iu89vfvZoddSXvYJugzxvMZ+fj4DNdLPqtRkNL3NAItH8msAXlW4/u9V9ZbT1+8AgIi8AMDtAF54euZXROQJLGUzm8lYC5RpRGv5HnkjfQcReLwoK7lkh1GsPBZLbk3OjGTSJRJV/TCArxnl3QbgXlX9pqp+HsBDAF4a0K+KjEUfWaAMI4oQhAXZFYSop8MOO2oo6RbdpJb3Za9vtr1YEMmRvEFEPnEKfZ5+uvYsAF9c3PPw6doQPJt0BmZmG1FNpndzjTTFMUIxhlyASybepC7LrkbeobVusyWETQ1pInITgN9W1Redfn4mgK8CUAD/GsANqvpPROQ/APiIqv766b63AvgdVX1XQeadAO4EgCfjKX/vR7+TZnHnB6xuu2dDWe/1VDt6Mkf6JXrjj1RjvMTjnavWfZ45ilaYPDbA1IcxD1vcm/6HjVT1y6r6mKr+JYBfxXfCl4cBPGdx67MBPFKRcbeqvkRVX/JEXDeixv+Hhe29C245lSLeBSskOt/Xe+dReLydHjwbv3bvFrms2j2MPpg1GOtmnZNMr32ISETkhsWPPwXgXNF5D4DbReQ6EXkugJsBfDSm4tiiL5G9oRhGxNYxcnKPvs+o19O61hvnvkfuD4cJ1rHWckbBINQW9ujJsZR/3w7gIwCeLyIPi8jrAPyiiHxSRD4B4McB/HMAUNUHALwDwKcBvA/A61X1MarGDViYmWVEjEpRTVZk4683FsNgWB4ZwFujzCSsdayMMWciPA8sVZvXquoNqvpEVX22qr5VVX9GVf+Wqv5tVf2Hqvro4v43q+rzVPX5qvreXPW/FyOnlVVeSWZmb8eoDAa28mLOyEzCMtarNdaIzBKhZtjqVpj6t38BbuwZMfateg8sHosVbG+k5k0wkp6ZSdRM4q8hWh1j2uro/D4ufvt3a9dtvRhZesxQxu6BcXIy80MleaUkNKtkyu7tKI0RgVVHJqYnkqw6/lVCi+SyjTISKrCby9byLoGUS2B408v52GIepg9tmNgjjmcg2uiW9d4ZDXgjYCfZW7Bs8j0JzKJLRmgzPZEwWqyZ8tYy2clRxvv2ro/iUk/4DBJZh07ZubI9PPPHRY6kBktnZKTfobTAUXm1+N6LzPCNnfBlkqmlaY7plTHsqiSzZQezeH81TE8kngWqLTYrHo/KrJFSRL/ehlzGyRmlZZaHt7zu1dUS2kTIZKt+kaidWrwYBqmWcHF/2KgGzwJY77WGBiNZfHYnbk2etX26pEN2dQL4XnKOYL1ejPCgt26j8zsy9lbPjuBKEIllk2aw8GivgEU/5ib2hl5RT8uK1jywdGDmGljhhSesyyC/DFwEkbQm0zNpntPDm6hsudQ1HdbYYsE9c3nG+nSPnPbZniPQ9ho8yCLq3rPsZrS1zAxv5SKIpIYs5h2tdrDzCSObflRurUzoIT6PTtHOz9rn7BCvJ9eiU+06+1DZwxM542KIhLVJR5N41nvWmXfvuCOLH9GzFMr0CMQit4TRE56xMUd1scodaRizgp2Ds8r0YGoisSYkma4r67SK6Nc7PVk5iZoXkiHXOx89mb3EqkVmCyP9Ia11i9qVlaBbc5HpoUzdkFYqhy2vsbL8tXGsz7fAiHdrBrW1jpZ5b62Xd7yazFE5JZktwmIcUOv3j4YsEVvwPnOlGtJKjTps9PoaRsHM2Xh6DEYqHixdLevFWMOovmc9s/oqzsgoCUf6TRi9RSVMTyQ1ZMaAW9fga2gZzEiis3Q6ZhhVtLFqa5Q2Z2Quau8/KrNHzlsmVWuYjkiyTt0stLwXxuZcnpxr2R4ZtWcubdNnYQu7m3GeWQfIdERyxrpvYa9FYOUhtoQ38ch281vzwShrstCyq9nWtAVvzjBjP01LJEtk1f0Z7mdWfsWLaKjHIpNestUr/5I29N5ghWYjuAgiqYFp8AxsvXiRmLsFlmey7KpkJViZOZ0tDyjrs16Zlvu3WO+p+0iAdmJp1DhbdXdWjwbLM9nyRI7OQ8t4WSFNFlmX9C199WDt9/CgRwoWoljn2djzOF0fyTres9TQ15/V0HvGy+KWe0d7XlryvRuM1W/Q62uxyPfOW+3eSC9RT4fsNRuVOzrvVgJby0j/n/a2gueE601WxOA9ekVRqtCskRXS1O61JiS9Sd4RXXo6sOR6ZY8eQh65S3jXMjvsnppIerCSidXg925M8nga1pCMtdF65WdmNSabqHvwhngWfRltADNjWiIZdccyDL4lj4WSnt4Tnl12rT3HnFPGfI70gPR0ts7rSD+P9TmWZ2rxcqOYlkiW8Cw68J0FiLreDFLKChEsY7CMp6UPI1QZcd+Z+Qvv8zVEWwcicku2ugWBnHHR5d8lSv0K689HZdXuYYDtMZVksu5dI6JrbY4jlY2aPqMk0uuBGZFr7avxkEzt4PTgypd/PciIT9mLxCK71hglLE8oxmmVnbtgJW6jnojF2414kFtgpGTsxfQeSbR2b/m8NtGREKmHjIRiqWSehZYHYEXPi4zqxJrjlp6R3FMk2RzxmDOIbHoiqYG5WUYTZh6wXNAMMMuVI2NnhKFsou6NE/V6LYfASE4l4xAsYdqGNC9aTVMt7Lmptyxtjo5V2pDMTcqY/9bpzpxjpq14Kzg9GT05vTxM6fMr9YeNaogkqHpyIvI8YIQHS1lLMMIca4mSQVIR7Ekio/O8Zdl7hES8uCgimaUph918xX6vmuF4xmm5xJaq1oj8lnF7x8u0lXWY2ur52TuM3WrPTE8kM4QojI2TKW8tuzaWlUy8cTWLpEZClK0Sy2tY13BWgmFjeiIZQXYvRnTjAGMbvCe/Vf62Gq6VRFhk2NponhJwqSGrJd8Ky3yMrF8vJMpqmsvClegjyfZGlv9Gx1yHCFF5mbF5lCx797H6GxiVDsuzJW8vMs5e3lQGukQiIs8Rkd8Tkc+IyAMi8rOn69eLyPtF5LOnf5++eOaNIvKQiDwoIrdGFJwtNl7Cmoy0yoyQQrYXVoKXaLz6jibPWaS/lsvEei7Weu9tC15YPJJvA/gXqvo3Afx9AK8XkRcAuAvAB1X1ZgAfPP2M02e3A3ghgFcB+BUReUJEyawTpyeT3RHI3DyRTR+J7VuwNFiNyvaOmUEmvXGy1m4ELb0yxu8Siao+qqp/dPr+GwA+A+BZAG4DcM/ptnsAvOb0/W0A7lXVb6rq5wE8BOClXsVGDGGWqo4Xe1QoWsblbQjzjOPJe5Se9+gSmdfR+egdetnh0miuJgpXQ5qI3ATgwwBeBOBPVfWvLj77uqo+XUR+GcB/V9VfP11/K4D3quo7a3KtfyFteX39WUY/hnWTWDLzI9WnjPp/q+zKTPgyvBDmXHj0GZkPq51a5Y6+W4s8vQ2FKX8hTUS+H8C7APycqv5569bCte9hKxG5U0Q+JiIf+xa+WRW2lYs6ItvajMRq2MqI9dnzaTl1R+XWfvZ6OSV5vete+TV5W+bwssdbwlT+FZEn4hqJ/Iaq/tbp8pdF5AZVfVREbgDwldP1hwE8Z/H4swE8spapqncDuBu45pG0xi+VGrOTS16Z6xJgxCCXz57lMg2yVrrNIOkMPbPkRcdal/RLn4/IasEbrmURi6VqIwDeCuAzqvpLi4/eA+CO0/d3AHj34vrtInKdiDwXwM0APhpVlLFJW2DIjBpP7ZktTzUWStWTKBjzW7MjdijWGjcDLflb2IvFI3kZgJ8B8EkRuf907V8BeAuAd4jI6wD8KYB/BACq+oCIvAPAp3Gt4vN6VX2MrfgZe3sjPW8pogOLmPYA6/TLmN9eMyAz/GN4ZLW5nKl3pUskqvr7KOc9AOAVlWfeDODNAb2KsBjVHhut59K2kNUgNjImI9maDVZI21qzrd5lbzD3ysW1yLPjXHYcvgZTdmaMm4FMr6Q37iyIzkHPK5kFF0ckbGyVdGQhalCz5pdmH3ekfL+8lt0Z20P2gXlRRMJ2ybfuMPTA4nWNVJZ6n0dktkLPLU/TyKYfkWORxSCTUgXPWnbOxkURyVZgbtDo5lwicqr0KgrRxF0pYZlVCauNyZIbxbrJr5XY9cpj97+wcDG//bvlRLHjcWbWn9WrUoNVZmZS2foMg1QZ87tn/qbUAFhCRjl+iYshkhYiRsqc3K2NcuT+2vtGCMoi04s9w072XDDKySP9MsuvbFwEkWSwOPse7+9PWD63btCsk5shj0Gmrc2QRbxWvUfkeZ4732vJ52xJHGtcBJEsETWoVnJwNLnm6SocNTzv59FnWHqOyvXIz/L2vM9mrJmVQBiyIpieSJjJNoYxrOVYS289PUaSaJZTk93wNkK8HkMfJWiLbO/zzA7XkkyGJ2nNkYzKt2J6IlmCGXMzTzoLWkZp0W0knh/1tizy2BhZn9bzLXhyWVYyYZb5S+QwczMaMDmReD0I66kccUEjm9NilNGQJbrZ2V5G6f4eQY3qkFUarY3DrprVvIusBC4T0/aRRHIXNaP1yFm3JrNOiPNzJWNktFKvZZbk9sbs9T5E3r21CSMkWtKXeaq31q30c+967x5r6FXzbLf2YKYlEg9qzU8sls5wM0s6M6oDvWejIQ7Thc8Ck/zWYDXa9eDJFdVsf0symZ5IWJluVmab0cy1J6x5FOuGYYYTkflrnc6XDotNtg7SLQhleiKxomX41pJxhES8985o6BHi2BrsalRk3J59sXpgRp9teScsz2VqImEZADPEYejkKWlbTxWLzL1JYKuwYD2m9b5WXuh8vfTMiF2sPcG91yaKqYmEUWdnI0omNWNkouTmLxuXauEMowrRIr7e5snw4rJyBSXCZyXLSz9Hkb1Xpi7/ZoNdZuzBsnGiuYWzzNEKSK9TcnlP716vjt5wxaoHYxMxw75WXmp5T+u9vPOfjemIJOv0KH1ZcioMoy/dXzMgj+x130FWKMjsU1ljq36IWo+G9dklImvnzW2Uxjh/tvx8b1KZjkg8sE5gKalaS5p5krYjJ1BJTu3a1jJbciNkYulbiaKkN8Pjy5pnqyxLwnY9v3uQiut/2svC8n/aO6O2gBZDsBp9Ly61usut3IPXY+iR2EhPy9oYLTkSa6WhZfgjunr184zRq7hk5nA8trWWZ7WvHmqHZE2XlP9pb2v0JrpnMD1XNnpaeU/o0XzMEqMbc/l8TVerkY96ZaMnZEu+dz5KJ7U18WzR33vwWOV57dgrhxFOTkska7Bj5548r+GU5FlLtxZESKSVsFvLHtkwy7Lp+toILGTFnI+RQ4dxrwezl4enJhLP6cfIB0Rk1WSPyIp4Y16MJmuz12Zr+bUx2MTglWfxvHvYgoSmJhLAHqvvxdhZJ1DPi2AgOmdRd38G+Rnrt0Wis1Us2KN6M22ydQ2v0W9VVpwJ3kSj9dkeMj27lvwD341I3q/0rCfZemWJ5MCBA3ZEiWT60OaMPZttDhw40MbUv2uzRqtZbFTeVcHjzWO7SmvHwN7rfzGhzYEDB7bFlQxtDhw4MC8OIjlw4EAYB5EcOHAgjClyJCLyvwH8XwBf3VsXJ34Ql6XzpekLHDpvgZq+f11Vf8giYAoiAQAR+Zg1sTMLLk3nS9MXOHTeAgx9j9DmwIEDYRxEcuDAgTBmIpK791ZgAJem86XpCxw6b4GwvtPkSA4cOHC5mMkjOXDgwIVidyIRkVeJyIMi8pCI3LW3PjWIyBdE5JMicr+IfOx07XoReb+IfPb079N31vFtIvIVEfnU4lpVRxF542neHxSRWyfS+U0i8qXTXN8vIq+eRWcReY6I/J6IfEZEHhCRnz1dn3aeGzrz5llVd/sC8AQAfwLghwE8CcDHAbxgT50aun4BwA+urv0igLtO398F4N/urOOPAXgxgE/1dATwgtN8Xwfguad1eMIkOr8JwL8s3Lu7zgBuAPDi0/dPA/DHJ72mneeGzrR53tsjeSmAh1T1c6r6FwDuBXDbzjp5cBuAe07f3wPgNfupAqjqhwF8bXW5puNtAO5V1W+q6ucBPIRr67EpKjrXsLvOqvqoqv7R6ftvAPgMgGdh4nlu6FyDW+e9ieRZAL64+PlhtF9wTyiA3xWRPxSRO0/XnqmqjwLXFgvAM3bTro6ajrPP/RtE5BOn0OccJkyls4jcBODvAvgfuJB5XukMkOZ5byKRwrVZy0gvU9UXA/hJAK8XkR/bW6EgZp77/wjgeQBuAfAogH93uj6NziLy/QDeBeDnVPXPW7cWrs2iM22e9yaShwE8Z/HzswE8spMuTajqI6d/vwLgv+Kaq/dlEbkBAE7/fmU/Dauo6Tjt3Kvql1X1MVX9SwC/iu+41VPoLCJPxLUN+Ruq+luny1PPc0ln5jzvTSR/AOBmEXmuiDwJwO0A3rOzTt8DEXmqiDzt/D2AnwDwKVzT9Y7TbXcAePc+GjZR0/E9AG4XketE5LkAbgbw0R30+x6cN+QJP4Vrcw1MoLOICIC3AviMqv7S4qNp57mmM3Wet8weVzLKr8a1LPKfAPiFvfWp6PjDuJbF/jiAB856AvhrAD4I4LOnf6/fWc+345qL+i1cO1Ve19IRwC+c5v1BAD85kc7/BcAnAXziZNQ3zKIzgB/FNTf/EwDuP329euZ5buhMm+ejs/XAgQNh7B3aHDhw4ArgIJIDBw6EcRDJgQMHwjiI5MCBA2EcRHLgwIEwDiI5cOBAGAeRHDhwIIyDSA4cOBDG/wN1AdWu1+NunAAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "n = 6\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "n = 7\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "n = 8\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "n = 9\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for n in range(1, 10):\n", " print(\"n = \", n)\n", " mesh = cle.draw_mesh_between_n_closest_labels(tissue, n=n)\n", "\n", " # make lines a bit thicker for visualization purposes\n", " mesh = cle.maximum_sphere(mesh, radius_x=1, radius_y=1)\n", "\n", " cle.imshow(mesh)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "n = 1\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "n = 2\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "n = 3\n" ] }, { "data": { "image/png": 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fSX4GMx8E8BSAQwB+CuBhZm5koulzqlMkEdv4mOqUneJ8YcXaQokosoRhq49iE9u9ksn5sVKL1JZhptQ0psw+LiUClEgkzPypnF99OGf/RwE8alJUTDQtEUVoyaSsPNLoySREiShcLFDLSii2+h9NIytba+JLIDpN902yeiV1BaITskCawIY8+k1xXKcRoGXn2jQ1vQlBIjq+jurYkIgAHJ/famWcLCE1IRGgZSJpgtAk0jSqV9JFibhaV7Jl4Ji1sXSZNCURQERSiZAl0mQq6aJEYmIZZhqVCCAiaQ0hNV7bTBdWu9ZBRNICRCLN0cVLC5RBRBI5IpHmiEUi+6f+CEtXXGr0NVsnklXb34z22qlVEYnkY/vcm5gkomhSJq0TycjQNABg865XrAslpA9uSLWEiq0zg2OUiGLpikuNCCWIBWlL6V1nY+fJpMqp/voYF7HS69m4IpDq6DKpeg5OzBLRWbriEt59a5mz1w8mkawfMj9JWKWRMpRJLHn7+PowhyKR7/Bh3yXUpkpCiUUiZXGZTIJIJAolk9Oz5e88r6giEZ2605+mk0koElHoMvkrutVjJdVxcbmButhcjFYGV8mEmDOvO9Qoy8Z38ta9312wrYpM6krEBk3IJDSJlCUGweTJpMk0YiqTomlNFqVksmXwBWYeLzNeUIlEJ2uqUyepuMZlMolVIIr0FChEsaT7J01PZ0wkUkcgiqxpjklSCVYkWehyUVLxmUYUvhuwMRCiRNK0PYW4JJhmq9BuYm7Q2mTLwLFgJWLSjI1WJOuHTgeRRhSxT0MEt9gQiOL20ZetjJNFXZlENbURhBhp+siMKUomVVZ3RZtIBCEGYpNIXUQkgpBw/pXMe7kJJRCRWEKO2sTN3x/oraeyKZOupBEgcpEMB3LFbZFI3CiJKGzIpEsSAVrQbFUymalxx7GQadtRoFkMBnfbibRAdJRMVr/vjVJjNS2O20dfDmotSdSJRMdXOnGRRtookdDoJxGdonRi87BuVVweBq5Ka0QChDPVMaFNEpnFYKZEyt731xVlJaLIk0kI05dQZNIqkQBxy6RtEumHL5lUlYgiLZMQJKIIQSbR90jaQpckovgGH22sX1JXIDpKJnft+pXxWG2jdYkEiC+VdFEiim/wUefpxIZEQuf20Ze9JpNWiqQp5LDvQmJuqrYFXzIRkQhWMJGIq+lN1ySi8CET6ZHURNJID9MUIhJpB5JIaiAS6RHiVAYQifhARFIRkUgPkYigIyIRKmNLIqEslRfMEZEIgmBMoUiI6NtEdJaIDmjbvkxEbxDRvuTr49rvvkhEE0R0hIjudVW4EDcxp5EXD37AdwnBUeaozXcA/CuAf09t/xdm/md9AxHtBPAAgF0A1gP4byJ6LzPPW6i1EsOYcXJGsM0rxk9c6H2YxladtTKe4B51NvDx+a0Awloq75NCkTDzL4loS8nxdgN4kplnARwjogkAdwP4Tf0S66OvcLUlFVOJKHnoTF5YKzKxxI5dL+HVg+93MnbWJQWUUNIUCeZS6t/jsshWY6cx6ZF8loheTqY+NyTbNgA4qe1zKtnmnWHMGC+dn8cApjFy9asqWRJRTF5Yi8kLaw2qiwdX05rv8z4APZnYpux1SRTH57dmSuYShhdJpN/2Ovi4TkndBWlfB/APADj5/lUAfw2AMvbNPB5HRHsA7AGAJTffVLOM6qRlUiapzCP7xklFMhnBdF95ZKHLJNSUMoS5q4+rHsFxIRElEJ20TOqmlKoCSaNkMjYwWWp/06RyCcPYPjpx9eeJqe2Vnl+XWomEmSeZeZ6ZrwD4JnrTF6CXQDZpu24EsPjem70xHmfmcWYeX3LjDVm7NIJKKnlpJU8iZagqkTQxJJQhzC0QSz98Nlh37Hrp6ldZTCVigyopJWvf7aMTC8TiilqJhIjWMfOZ5MdPAFBHdJ4B8H0iegy9ZusOAM8ZV9kQ6cs2mkjEFrH0T4Yw1zedrMTFzOTwF3SH0etmjVlEmT5KCBJRKEH0SydFwuknExuppVAkRPQDAB8CsIaITgH4OwAfIqI70Ju2HAfwaQBg5oNE9BSAQwAuA3jYxxEbU0IQiI5KJqELJS2TMo3pfiIokkwdiShUMskSSkgS0dFlYbM5qyRjIhRi9r+keNn4Tt6697u+y7iKzeuDnLswam2s0EWimMVgdKcSKKG4kEjZ/khVlmHGWoNWZ2JqO7aPTuAw/fELzDxe5jly9q9gnbI9k5DYseslTM2v8V1GJVxIBOg/DcpDlsgLQsLowDnfJUSLiERwwhyGfJcgNIiIRGjdzcWE5hGROGbNqinfJWQyo62gUT/bpk0XtRb6IyLpGLo8XKIOA8cmE5s3Ee8SIpKIMF3pWiQQW4JJL0yLRSbqELDIpDpRiuTwr+/C4V/f5buM0oQwvWmqD5K3ujV0maQXptmSias1JKERnUh0gbgQiqt/8LZkUucs4SoScSmcUGWSt1z+/CsbJJ2UJBqR9JOGqUwuYuXVL5fYTCZFQkk3U0MhNJmUOSu4rkxm3lqGYxe21HpubAS/srWsJA7/+i7ces+LlcYO7R91HdIyGVt11lgeMxh2ettTm1eZM6HKpQXOv7KhcPn8zFvLMrfrMtm66njp14yJoBNJ1aRRdv8m0ocvYrj0ABCnxPOSycxby3IlkqatCSVYkdSdrvR7XggCCaHx6oqqFzny/beogy6TKgLRaaNMgpra2GqcqnE23vOqlfFso2Ri88xgnYsXVmDlqreMxqg6val7rxslkyanOqbXdD3/ygZcv/G80Rhtm+4Ek0hiOpxrizank1BxdWFoE9qQUIIQyTtvhXVkoUlcyeTihRXGY5Rt2oZ6+06hOYIQiQtuvOd1zMoZqIJGiGmkLbRWJIquymT7qqMYg/mqytDWodRFJOKWoJqttrjxntcX/DyLIQxh1lM1zbN91dGrj8cwiUmMGY1X1AidhZumsS1EIu5pXSJJS0QRajIZwbTV8XSJKEySSZnnrkG4TWMXEjE9YtNGWpVI8iRiC11GpgnHtkCKUEKokk5sTI3K4mK1q0ikOVojkjISqTvFyUozVaRSJI3tq44a30xLjVOELoc8qdQRiEol5ypOc1ytHxGJNEsYUxvD28hUSSJVpzhl9p/F0KL9RrS7BJehjARsM4bJRdJoMoW4XIR2067XrI4nEulPGCIBUOOe3ADqTWfqyqHMc6rIwyYmIlLysCGRsv0SFxJJn8VtSyauJSIrW20zgtpCsYmvxqyPVKKIOYn0O4fKVCYikXKEJRLFSLndXDRXfR/d8SkTW/RLJbYkUuUaMnVlIhIpT5giAQplYiqRtDDqTGXS2Pq/eltl4vMaJLZ7Jqa0SSJAyCIBGpvm+E4hWVSRSaji0WUSwoWMqsjEZRppm0SAGA7/jmiPp3vfbE1pQhRIVUKViGINpqyf1GdyHZObdr2GNw++p+8+LiTSRnnohJ1I0oy4X3QWE6FLJFT6JRORSD3iEknHyBPF9lVHo5HIRay0eh9gW1dVS8vk+o3nZa2IASKSwEkLIxaBAOFfSlHJRARiTnQi+f3Bm32X4I1YJJJ1WNZmKrHJqu1v+i6hFYTfbM1gemoEI6PTvstojFgEAoSfQnQuzfautTJ0/Rxm35GrvJkQXSJZetMfAPRkIoRB2cVhpqnEpaSGrp9zNvbE1HZnY4dCVIlESUShy8R3QmlyiXkI1P1Qz2EIgwFcZEqlER0lE1vpZP7ytY/XxNR2bB+dsDJuiBQmEiLaRES/IKLDRHSQiD6XbF9NRD8noleT7zdoz/kiEU0Q0REiutdGoWmJpJmeGpGU0gC+7g1k8zWzJKIzdP2cUUKZv7xkgUQUoScTk8tqlpnaXAbwBWa+FcCfAniYiHYCeATAs8y8A8Czyc9IfvcAgF0A7gPwNSIyulBAkUR0mhbK1OQopiZHcWhyZ2Ov6QtbH+ZQG69pqshEySNLIDGgJFL3ftGFImHmM8z8YvL4IoDDADYA2A3giWS3JwDcnzzeDeBJZp5l5mMAJgDcXbkyQ3wklEOTOzshlJgpSiNpimRSVR4hppIscVSVSSV9EtEWAHcC+C2AMWY+A/RkQ0TqprMbAPyP9rRTybbKVEkieaT7KEVyKdtrmZrMvxJYlkx2jh0qNW5XKNMrOTu7+Apuy4bc3dw8D10mMxbuwaRk4qNn4uquAKVFQkQrAPwQwOeZ+Q9ElLtrxjbOGG8PgD0AgHWL14bYkEiaMgmlaJ/5y/VmabpcRCr9yRKIQiWKOkKpmkZc02QD1vVtRUqJhIiWoieR7zHzj5LNk0S0Lkkj6wCcTbafArBJe/pGAKfTYzLz4wAeBwDaNb5ANC4kEhJKKl0XSjqV9BNImiwp9JOLLYkMr5ixkkpMKHtf5ibvSVTmqA0B+BaAw8z8mParZwA8mDx+EMDT2vYHiGiIiLYC2AHgOXsltwfpp1xrvFaRSB6XZoczhRFaEtGp0jPRG6F5TVG1vekbm5VJJPcA+EsA+4loX7LtbwF8BcBTRPQQgNcBfBIAmPkgET0F4BB6R3weZub5sgWFnkYGlszXnt6k6XoiUdiQiE7I4ihLWRGEcifEQpEw86+Q3fcAgA/nPOdRAI9WLSZ0iQiCC/ReSShiqEowS+RjksjAktIBSxBKcXp2fbQSAQIRCS2VD6bQXYZXNH9I2zZBiEToLqM4h21DE9g2FM95KDY/+PpY07Mj1sZtGhGJJ7reaB3FOYzi3IJtXZNJ1hixykREIjROWiA6XZFJG6YzOkGIZGjJO75LqMyWseO+S4gKlUD6SSRGhlfMVJZC0f4xppIgRAIAt4wewS2jR3yXUcim0ZPYNHoSQH2ZxDqtqXtvGp/yaCrhlBVKWenEJpPgznlWMjkydYvnShai5GFKrBJRKJmUuaSA7/ShJLJtaAJHZ5s561aJImsZfdumMzrBJJI0ttKJ6Th6AjEldonorFxwgcWFScV0CmOaIrKOAjXde6kz5UkTUyoJViSAmQT0qVLZcZQwlDxsCaQLrMRFqz2QOh/8osPIPhq5SiZtTiNA4CIBqvdO8vbvN4YujarykKbrNWxf+azMB1/Jo6wkfMqkzQTXI8nDxlRH77/YTBtbxo7j+OSW3N+3aUrTNOn+hg0RqDGa6puYMD07gpGhad9lFBJ8InGBiylLXjIRidjDdpqIac1K6HRSJGUuClMHmea4weUSepGJHTopEpfoMpE0EgehyySGozfR9EhiYsvYcWepR+gmofdKOptI5IMuKGJougJhJ5POikQQBHuISIROE0saUeSlEt9ppdM9EjW9cXGJOzWmTKEE2/iWRhadFoki78NuQzD6GG2WStFd80IktjRShM+GrExt+qDuEGKLmC/um8cgZqOUSFvxlVZEJCWwKZQ2yUQEIihEJBUQmVwjdom0bVrjGxGJJ2KWiUgkbHxMb0QkFYj5w2+L2CUiuEFEIpSmDRJpexpRNJ1KRCQlcbnWRBBiR0QilKINaURwhyxIEwppg0S6MqXRaXKBmiQSQRCMEZEIgmCMiEQQBGOImX3XACL6PYC3gehuDLsGcdUcW72A1NwEefVuZuYbywwQhEgAgIj2MvO47zqqEFvNsdULSM1NYKNemdoIgmCMiEQQBGNCEsnjvguoQWw1x1YvIDU3gXG9wfRIBEGIl5ASiSAIkeJdJER0HxEdIaIJInrEdz15ENFxItpPRPuIaG+ybTUR/ZyIXk2+3+C5xm8T0VkiOqBty62RiL6YvO9HiOjegGr+MhG9kbzX+4jo46HUTESbiOgXRHSYiA4S0eeS7cG+z31qtvc+M7O3LwADAI4CeA+AQQAvAdjps6Y+tR4HsCa17Z8APJI8fgTAP3qu8YMA7gJwoKhGADuT93sIwNbk7zAQSM1fBvA3Gft6rxnAOgB3JY9XAvhdUlew73Ofmq29z74Tyd0AJpj5NWaeA/AkgN2ea6rCbgBPJI+fAHC/v1IAZv4lgPOpzXk17gbwJDPPMvMxABPo/T0aJafmPLzXzMxnmPnF5PFFAIcBbEDA73OfmvOoXLNvkWwAcFL7+RT6/wf6hAH8jIheIKI9ybYxZj4D9P5YANZ6qy6fvBpDf+8/S0QvJ1MfNU0IqmYi2gLgTgC/RSTvc6pmwNL77FsklLEt1MNI9zDzXQA+BuBhIvqg74IMCfm9/zqAbQDuAHAGwFeT7cHUTEQrAPwQwOeZ+Q/9ds3YFkrN1t5n3yI5BWCT9vNGAKc91dIXZj6dfD8L4MfoRb1JIloHAMn3s/4qzCWvxmDfe2aeZOZ5Zr4C4Ju4FquDqJmIlqL3gfweM/8o2Rz0+5xVs8332bdIngewg4i2EtEggAcAPOO5pkUQ0XIiWqkeA/gogAPo1fpgstuDAJ72U2Ff8mp8BsADRDRERFsB7ADwnIf6FqE+kAmfQO+9BgKomYgIwLcAHGbmx7RfBfs+59Vs9X1usnuc01H+OHpd5KMAvuS7npwa34NeF/slAAdVnQBGATwL4NXk+2rPdf4AvYj6Lnr/V3moX40AvpS870cAfCygmv8DwH4ALyf/qNeFUjOAD6AX818GsC/5+njI73Ofmq29z7KyVRAEY3xPbQRBaAEiEkEQjBGRCIJgjIhEEARjRCSCIBgjIhEEwRgRiSAIxohIBEEw5v8BJVo2qhQ9rv0AAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "n = 4\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "n = 5\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "n = 6\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "n = 7\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "n = 8\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "n = 9\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for n in range(1, 10):\n", " print(\"n = \", n)\n", "\n", " local_maximum = cle.maximum_of_n_nearest_neighbors_map(example_image, tissue, n=n)\n", " cle.imshow(local_maximum, min_display_intensity=30, max_display_intensity=90, color_map='jet')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Proximal neighbors\n", "We can also compute the local maximum of cells with centroid distances below a given upper threshold:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "local_maximum = cle.maximum_of_proximal_neighbors_map(example_image, tissue, max_distance=20)\n", "cle.imshow(local_maximum, min_display_intensity=30, max_display_intensity=90, color_map='jet')" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "local_maximum = cle.maximum_of_proximal_neighbors_map(example_image, tissue, max_distance=50)\n", "cle.imshow(local_maximum, min_display_intensity=30, max_display_intensity=90, color_map='jet')" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.9" } }, "nbformat": 4, "nbformat_minor": 4 }