From 371eec2ba5d805e4b2207ec53c042adb9899b0d6 Mon Sep 17 00:00:00 2001 From: Marc Glisse Date: Mon, 15 Jul 2024 14:34:45 +0200 Subject: [PATCH] New notebook for distance to black pixels in an image --- Images/8.png | Bin 0 -> 2751 bytes Tuto-GUDHI-Image-distance.ipynb | 175 ++++++++++++++++++++++++++++++++ 2 files changed, 175 insertions(+) create mode 100644 Images/8.png create mode 100644 Tuto-GUDHI-Image-distance.ipynb diff --git a/Images/8.png b/Images/8.png new file mode 100644 index 0000000000000000000000000000000000000000..8ecae64a54224f7959bab036a6376f0367b28802 GIT binary patch literal 2751 zcma);dpK0<9>;PZ|0sx>R0S7>ZPFEfP$mtzrvu!NdY$Sm1|Lsv94*;MiXCyt` zCB;;uEAskIn>*6g7BEuBhOYX`Z%_isQ_yWO~jhUG&4EOJpa@=mdh)Rq~m zruIW%51(N)lWA(&TzJ-agXawTB)4QxLmb2Nq}=f6HN6?7W;C#JT94%Vz$(W8JmQsDppjrPJEB>;EENVS6~c zWAlLTFJX7=R*h>sZqV;cu75hfTbPL$?$7(zy|x=+Hc*K7*Uz++dOuJu2pk15(Qjh% z-gowD!?OmuS?%NiAH|7{6?jAp;2sD903*G{S1vTi{5u@V z2V3s3kbf;tR?uAwpAQPfk!G-kV=&v_*Vn@@7+~`~c)=b=kmE;#y^x)jdu;X#mDB-% 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"from scipy.ndimage import distance_transform_edt\n", + "from math import sqrt" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "e5681864-7ef1-400b-9d39-ad230befcb3d", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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L4VQbd1Mt+a+HtOvuTDnc7nrvIerVL3XXpNv05IEUHfJXymtUqf2SEeqctUmGyS/72/OHZD3acpWpNQHYg8MwTLzQW09KSkoUGxurok3tFRNNrgIO8xpVynh8nFo9tNzUezhOmtOlXZN6ynBKbR78yrRF0g5zhIVr+LrNuja6yNS6AIKnpNSvuI5bVVxcrJiYmBOOrf9/UgEIGo8jTJ+MeViZv5uo9q+Wyvh6Xf024PepdfYySZLZkcgZHa3N/+igPzX9QlKYydUB2AGnGYAQ08wVpU3D5ujqBR9o01Pnyt2ujeRwWN3WKas+6zR91+dZeRwEEiBUEUqAEDUitkBbLn9Kjy9dpJLrrLkJ1kyevxcozFG/TxgBqF+EEiCEuRxOdQhrqmemzZBnaZKqBnaXIyzc6rZqx+HQrsmZeqr9v6zuBECQEUqARuDM8Ai9mfae3n/+H8qfmiHXb9xsZieuZs300sjpau1uanUrAIKMUAI0ImEOl/KGzdCIr9eo4L8z5WqWYHVLv+m7+9rpzIZ2dgdAndQqlGRnZ6tHjx6Kjo5WixYtdMUVV2jjxo01xhiGoalTpyo5OVkRERHq27ev1q9fX2OM1+vV2LFj1axZM0VFRWnw4MHatWvXqc8GwG9q6myiq5qW6Js7Z2v3My3k7NbZtjfCVgw6V8/0f04uB/9+AhqDWv1NX7p0qW6//XatWLFCubm5qq6u1sCBA3Xw4P+9MfShhx7S9OnTNWvWLK1cuVJJSUkaMGCASktLA2OysrK0ePFi5eTk6PPPP1dZWZkGDRokn89n3swA/KZvzn1JC956Rj+N7GV1K0fxXtpDf398rvpF8HMBaCxOafG0n376SS1atNDSpUv1+9//XoZhKDk5WVlZWZo0aZKkX86KJCYm6sEHH9TIkSNVXFys5s2ba8GCBbrmmmskSXv27FFKSoreeecdXXzxxb95XBZPA8y1q7pMgx65S4mPL7O6FUmS97IeeuCJp9SrCU/bAA1dbRZPO6Xf6MXFxZKk+Ph4SVJ+fr4KCgo0cODAwBiPx6M+ffpo2bJfftjl5eWpqqqqxpjk5GSlp6cHxhzJ6/WqpKSkxgeAeVq7m+rVCQ+pcHSmXM2bW9pLxaBz9dfH5hNIgEaozqHEMAyNHz9e559/vtLT0yVJBQUFkqTExMQaYxMTEwP7CgoKFB4erri4uOOOOVJ2drZiY2MDn5SUlLq2DeA4OoQ11Rd3z1SPD/Zoz8RMS+4z8V7aQw8+PkeXRJr7vhwADUOdQ8mYMWP07bff6qWXXjpqn+OIH2aGYRy17UgnGjN58mQVFxcHPjt37qxr2wBOINIZrnubr9fyrOnaNLuHnFFR9Xr8qI0/aeG+zHo9JgD7qFMoGTt2rN588019/PHHat26dWB7UlKSJB11xqOwsDBw9iQpKUmVlZUqKio67pgjeTwexcTE1PgACJ6mzibK/+NcbXwovV7fOly9dZu2Xt9ad+zpUW/HBGAftQolhmFozJgxeu211/TRRx8pNTW1xv7U1FQlJSUpNzc3sK2yslJLly5VZuYv//rJyMhQWFhYjTF79+7VunXrAmMA2MO6Pz6hjXPOrtdVYH2bftAPf25JMAEaoVr9E+j222/XokWL9MYbbyg6OjpwRiQ2NlYRERFyOBzKysrStGnTlJaWprS0NE2bNk2RkZEaOnRoYOyIESM0YcIEJSQkKD4+XhMnTlSXLl3Uv39/82cIoM4OGVVy73NLhr9ej1u9bYe2DO2gbpf10GtZD6lDGKu5Ao1BrR4JPt49H88//7yGDx8u6ZezKffee6/+8Y9/qKioSD179tSTTz4ZuBlWkioqKnTnnXdq0aJFKi8vV79+/TR79uyTvoGVR4KB4KsyfEqfN0bt7lluaR9Fw3rrtb8/zDLzQANVm0eCT2mdEqsQSoDgumFbX+27raWM77fK8Fr8JIzDoX0jeunckas1u9UKa3sBUGv1tk4JgNBz844LtP+mOPm/+c76QCJJhqGEZ5Zr2wCP0ldcryqDFV6BUEUoARAwYsf5KrwqWr4t+Va3chTfgWK1vm6Lui4bbnUrAIKEUAJAa7xeZUy9TQXXxKl69x6r2zkuw+tV6qjdGrz5EqtbARAEhBKgkcuvKtNtd49Ts7nLVb3d/gsT+vbt1955qdpbXWZ1KwBMRigBGrHBmy/RdXdPVMxLDesG0vh5KzR46p1aX1ludSsATEQoARqhpw60Uu8Jo1R9+SHFvtiwAokkyTAU/9xy3bP9Cqs7AWAiQgnQiJT5K5T69q16/aYLFfPSCvka+Bu3K0dE6s6Cs61uA4BJCCVAI/BhuUtdv7pOV192szrdtlrG1+vq5bhV/TPkbt8uaPV9W/L19uLeKvNXBO0YAOoPoQQIYYf8lfqw3KW/jRuhlld898vaI9XVwT+ww6H9t/TWk888oeSXfpK7daugHSrl/i/V9fVxOuSvDNoxANQPQgkQoqb8dKbOnjdOj559npq89VW9HnvfLb309r2PqHN4pJ5O+ULJrx4I3hkTv08ds/J0U/4fglMfQL2pv3eSAwiqn30H9cT+c/Xh385XeKlPTfL3q93m5arv9U9//q/emn/3dLVwRQW2PZ3yhUYsOl8F16QE5bFjo7pahY+0V9Vsn8IcLtPrA6gfvPsGaMDK/BXaWe3XHxdNUNQeh1rMWmZpP/tv7q1X731YbY7z8ryRu3pr19XNVL1zj+Q3Ny65EuLl/WdTfXjGm6bWBXBqavPuG86UAA3Q3uoyXb3hJkXeG62wXfuUutPaN/lK0r5be+v1/3fit/n+o/Vy5X1SqWteGacOk74yNZj49u2X52pDL38ZqyFNi02rC6D+cJoBaEB8hl/9NgzWkKwJirpkqxzLv1H1zl3WNuVwaN9feuu5e2acMJAcluEJV95107Xtb+fK4fGY2oqvqEhTF1xvak0A9YdQAjQgl228XJ6rSxX52pdWtxKwf3gv/ft/H1bX8CYn/T2xzghtuPlJbZ16jun9tF28X9P3tze9LoDgI5QADcAn5U6dlzVKzuuq5CsqsrodSZIrrb0KxmXqxamPqOVJnCE56vsdTi274RFtfaC3HGHhpvXlX/e9lgzPVKHvoGk1AdQPQglgYzuqy5T63l907+hb1PTlFfL9WGh1S3KEhcvV6TR1ztmmbybNVsewqN/+puNo5orSF9c/Imdbc9cxcazbovO/uM3UmgCCjxtdAZu6+8euWjO0kzpt+VZGlU0WBnM4tOnRs/XJFY8e9wmb2mrhilJ+dlO1udqUcpIkf0WFkl5qoq96VulcT5h5hQEEFWdKABv5tEJ68kCKuj46WmuuSZPvu822CSTOJk30wyM9tfrKmaYFksMWdn9WB27sbWrNiDe+0j/39zS1JoDgIpQANnDIX6nUt2/V34fdrDfPSFDLR5fJt+kHq9sKcISFa/P9Z2nLdU8p1hlhev0MT7j++39yTL23RJLeepdQAjQkhBLAYkPzL9SfB1yvTqO/kfOz1Va3U4O7ZZJ+Htlbw9dtVt41M4J6rD81LdS2/5dhas0Oi/YppzTO1JoAgodQAlhoaP6FKr4x1laXaSRJTpfc7dtp/3NRypsyR9dGFwXlDMmveRxhGvvnt+Q4+0zTavo2bNLkT/9sWj0AwUUoASxy844LVDwkQtVbt1ndSg3Os87Q5hk99MLSF7W826v1euzbf7dT7hn7Ta3ZbJlbu6rLTK0JIDgIJYAFhuZfqMKrY1W9e4/VrQQ4o6O16Znuuu1fr2vr1U+pmavuj/qeiqfa/0sl1/UyrV7Cwjw9VHihafUABA+hBKhnN2zrq+IbYqxfHv4/nJGRKhvSSyX/aq78PzyjwVGHLO2ntbupmv5lt1xx5twLYlRVavmT3U2pBSC4CCVAPbpp++9VdFUTVedvt7oVGeedpYJxmYpeEqHFjz6qL7q+ZnVLAe+d/oa+e+A00+rFbvNqySHWKwHsjlAC1JOZRe20b2icqvcWWNqHKy5OlRd31y3PvaFvJs3Wy+0/VAuLLtUcj8vh1DP9nzPtplfXx6s0fcdAU2oBCB5CCVAPfIZfc16/1JozJE6XHG63HG63DtzYW8UvxemD5+bq2mh7vEPnePpF+FQVf/Iv+fstu99tq0N+Gz3hBOAoLDMPBNmUn87UP9/4vVLvXyWjHo/r7NZZB86IlW76SZNPe1eS1CX8E6WGNVVD+fdIwr3bVPyhObVazfhKZ6aOUf4Vc80pCMB0hBIgiG7Y1ldFN/xObbcur7dA4oyMlHFmBw14/guNj996xF5zl4cPtntb/1u3DB2vmEUrTrmWUV2tTs8d0ocXu9QvwmdCdwDMRigBgmTEjvNVdHWkqndvq7djll9xrgqHluvLzLlBX+ysPnQOj1Rxe6diTKpnfL1Ot34xTFv7P2dSRQBmahjncIEG5uWyWBVcE1dv65C4U1pr34jemjFjlr4/f0FIBJLD/vfGl+RKbGFavQ7PGlrj9ZpWD4B5CCVAENyzeKiqt++sl2O5kxIVm3NQX/99jjI85r7Qzg76R+6SIyrStHrOpas1NG+EafUAmIdQApgspzROHV4uqZdjFQ3rrehXq7Qo9eN6OZ4VmrmitPXBaKvbAFAPCCWAid4+1ETPjPyTjLz1wTmAwyHXmZ1UeXF3xX0Rr3fue0Q5qR8F51g28nzGPFVfZO4bhAHYDze6AiZ5/WBTzbp1iFyfrApKfVdae30/rrk+HfyoWroi5XI4Jdlr0bNg6dXEpfxhhtI+dkjGqT/HFJEbreJe5SF17w0QCjhTApjg1bKY4AaSTqepc842bb3yH2rtbvqfQNK4LLjgGTm7dTalVuJL6/XgTz1NqQXAPI3vJxtgsirDp7veGqqgBZKEeHVetFWPtgxO/YbivCZObRpuzsPBvpISvbXwfFNqATAPoQQ4RZ9WhKvjlCDdQyKp8E+d9PfEU188DDXFb6jSpxVWdwHg1wglwCm649mR8peWBqW2KyFe7YZtVqQz9B71rYu5lz8tV1p7U2p53l2pl/dxCQewE0IJcAqm/HSm2r6xLyi1HR6Pts9tqVc6fBCU+g1R3yZV8seat2YJAHshlAB1VOav0JfDz5Jv/UbTa7vi4rTrpdO0ptd802s3ZC6HU97s4JyVAmA9QglQR2d9OkqO734wva7rd7H64akUrev1osIcLtPrN3SPpf1Th64057LL8qfPMaUOAHMQSoA6yPNWqvWLYfJXmHunpLNJE+2al6yNF3CG5Hi6hjdRWUtzwlrSuzs1Zjf3lQB2QSgB6mDZoTR53l5pak1XQry2LUhTXo+FptbF8VXv3KX8qxO1osJndSsARCgB6uTJVy4ztZ4zMlJb57TSd+ct4JLNSag28V7X6u07NfSd0eYVBFBnhBKgDpJWVJlWyxkdrd2L2mrtefNMqxnqnrxttpzRJr2kzzDU4Z+Vev1gU3PqAagzQglgsaqMNC3r/jxnSGqhlatMSm1lWj3nZ6v1xPaLTKsHoG4IJUAtTdh7jqI2/mROMYdD1XfvV1NnE3PqNRIdwppqy1+bSA6HaTX3vdlaVQb3lgBWIpQAtfTvzemq3rrNlFoHrzpXizsvMqVWY/PFBU/Kf/5ZptVr9dYeeQ3zLssBqD1CCWAVp0u/G7NDcS5WKK2LFq4oHWrpsboNACaqVSiZM2eOunbtqpiYGMXExKh379569913A/sNw9DUqVOVnJysiIgI9e3bV+vX13xRmdfr1dixY9WsWTNFRUVp8ODB2rVrlzmzARoQh8ulMa0/srqNBm3gPZ9a3QIAE9UqlLRu3VoPPPCAvv76a3399de66KKL9Mc//jEQPB566CFNnz5ds2bN0sqVK5WUlKQBAwao9FcvK8vKytLixYuVk5Ojzz//XGVlZRo0aJB8Pq7lonFxdG6veFeZ1W00aHfEf60f78g0pZZv5x51eesOU2oBqJtahZLLL79cf/jDH9SxY0d17NhR999/v5o2baoVK1bIMAzNnDlT99xzj6688kqlp6frhRde0KFDh7Ro0S/XzIuLi/Xss8/q0UcfVf/+/XX22Wdr4cKFWrt2rT74gJeOoXH5flSMzvWEWd1GgxbnilTmjavkSog/5VpGVaXS5nv1YTlPQQFWqfM9JT6fTzk5OTp48KB69+6t/Px8FRQUaODAgYExHo9Hffr00bJlyyRJeXl5qqqqqjEmOTlZ6enpgTHH4vV6VVJSUuMDAJJ0f9JHckSac1+OY9k32lDR2pRaAGqv1qFk7dq1atq0qTwej0aNGqXFixfrjDPOUEFBgSQpMTGxxvjExMTAvoKCAoWHhysuLu64Y44lOztbsbGxgU9KSkpt2wYQopwOh6raNDOt3jNzzV2tF8DJq3Uo6dSpk9asWaMVK1botttu07Bhw7Rhw4bAfscR6wYYhnHUtiP91pjJkyeruLg48Nm5c2dt2wYQomKdESr9n9LfHniS4jZVyWf4TasH4OTVOpSEh4frtNNOU/fu3ZWdna1u3brpscceU1JSkiQddcajsLAwcPYkKSlJlZWVKioqOu6YY/F4PIEnfg5/AOCwjGa75E4x57JLxMdr1SPvOlNqAaidU16nxDAMeb1epaamKikpSbm5uYF9lZWVWrp0qTIzf7k7PiMjQ2FhYTXG7N27V+vWrQuMAYDamtXqS+29zJzLuv6KCh0sZ/0TwAru2gy+++67demllyolJUWlpaXKycnRJ598ovfee08Oh0NZWVmaNm2a0tLSlJaWpmnTpikyMlJDhw6VJMXGxmrEiBGaMGGCEhISFB8fr4kTJ6pLly7q379/UCYIoHH46/hFeu6ZNBnV1Va3AqCOahVKfvzxR914443au3evYmNj1bVrV7333nsaMGCAJOmuu+5SeXm5Ro8eraKiIvXs2VNLlixR9K/e5jljxgy53W4NGTJE5eXl6tevn+bNmyeXi8fwANRdK3eRnB3by7dh0ynXSn3Ap129y9TazZuDgfrkMAzDsLqJ2iopKVFsbKyKNrVXTDQr5aN+dfz0JqVe++0p19k0+1zlXzHXhI5wWPvXRiptzJenXMcVF6epq5awjgxggpJSv+I6blVxcfFv3hPKb3QAOIKvqEg3zx1ndRtAo0MoAYBjcFdY3QHQ+BBKAISMS3p+I3erZHOKNbgL20DDRygBEDJmt1qhwovbmlKr1bz1mvTjWabUAnByCCUAQkr6f60zpY7vQLHWHjDprAuAk0IoAYDjqL6nudUtAI0KoQSwSOeZ+/RFBe9YsTP3gXJ9Us6PSaC+8LcNsIg/f6dK/RFWtxFybmi+TJUXdzellm/DJt285C+m1ALw2wglAEJKvwiftl1ryBEWbnUrAGqJUALU0u+iy+WMjLS6DZzAOxc+IWcUZ6GAhoZQAtTSV2f/SxW/P9OUWpUG73wKhuYuQ4V/PsOUWskfO/VDVZkptQCcGKEEqAPDYUKNqkr9v1nDT70QjtLMFaWSfodMqRW9eJV+qIozpRaAEyOUABaK+JmnbwDgMEIJAACwBUIJUAclbd2m1Il/f7OG5l9oSi3U9FKvp2VkdrO6DQC1QCgB6uDmse+YUsf38z7tKOV+hWDI8ISrKjrM6jYA1AKhBLDYj98mqsrwWd0GAFiOUAJYrOPjO/SV14THeQCggSOUAHXQI2KrKi/pYUqt6l27NWLh7abUAoCGjFAC1EGvJi7tOc+cm10lqf2TP2hucbJp9QCgISKUADbg+7FQGw8lWd1GyPAZfv1h4x8UuX6v1a0AqAVCCVBHsef8LFdMjGn1vp5qzpttIV2+aZD05wpV79ptdSsAaoFQAtTRR90WyNEs3rR6UZ9tVIcPb+ZJnFM05acz5bhB8u3bb3UrAGqJUALUkccRpvzrzbsPxHegWJ1u/0HfVhJK6sprVOmVnD6q3r3H6lYA1AGhBKijMIdLl/1pudypbU2r6Sst1ej/Hac8b6VpNRuLMbt7KuPxcUp5+CtT6/p6nqEWLt4SDNQHQglwCh5OWq3dl7cyr6Bh6HcLlmvibbcr7ZPh8hpV5tUOUZuqDqrfhsHKv7K5Wj24TEZ1tan1t1wfrrM8HlNrAjg2Qglwil4c/6gOXtXT1Jrh761Uh5vWKX3prabWDTVnLr9et475b7kH7lb1zl2m13e3TNIFZ31vel0Ax0YoAU7RmeEROnhTsZzR0abWNaqrlTY6X+0/uEU+w29q7YbukL9S7RePVJubtqnJv7+S/MG5D+fn/qma3/bToNQGcDRCCWCC1T1yZJzezvS6vgPF6jTqe3X+bHijfypnb3WZzl19tbo9PFrnTctSx3F58h88GLTjOTwe9Rz3ddDqAziaeUtSAo3c7r7RSl5pfl3/oUNqP2yjTn/2L/rhoufNP4BNPXkgRU+s6xv4utU/wpXwxXr5KzZLkowgH//HWzP0RsvHJPGmYaC+EEoAk1x5w1KtnJcs308/mV7b8HrVacxWXXDhSF3wv8s1NmGZWrqbmn4cq+V5K3XHxmsV9kSCInaWqu23a2vsr6+LWM700zV01PvyOAgkQH1yGIYR7H9wmK6kpESxsbEq2tReMdFcgYJ9dJkxWskPLwv6cXZNztSqMY816F+ah/yV8v8nZjzwcw/96+3z1fKLanneCcLpplpwdj1dfV/M06SEzZb2AYSKklK/4jpuVXFxsWJ+YxVsQglgok8rpCmjb1X4e8H9xepwu7VrwrnqP+QrzWzZsO57+MpbpZHf3qiWk/1S5S+PPDvKDqm64EeLO/tF2kqPZrX60uo2gJBBKAEs9ObBSM0Ye33Qg4kkuVNaq3KeQ/e0e1vneioU6QwP+jFry2f4tcIrfX6wk16Z3l9RBdXyvGvt2ZDj2X9Lb7085WGlhoXepTHAKoQSwGLT97fX++nmvazvRBxut+RyadvdGfKmVOrLAY+phSuqXo59PHury5SZmyX5HHJUOXX6lC3yF5fKqLLvSrWu38XK+0qsPjzjTatbAUIKoQSwWJHvkPrMnKiWjwb//pIaHA45uqcrf6JDg05bp/9p8bniXJFBPWSV4dP/FGbI63er2u/S2r91U8TeQzLy1ksN5MeLOylRhc/EauU5L1vdChByCCWADWTt7a7NVyWretsOy3r4eWRvVcY4gnoMZ5XUck6eDK83qMcJFmd0tA683ELLu71qdStASCKUADYxZndPbb0hRb6NW6xuBcfgat5cJQuitbTLK3I5+FkCBENtQgl/C4EgmtXqS7VfuNPUNwnDHK5mCfrp+Th93vU1AglgE/xNBIJsVqsvlfbKbrnbt5Mcwb2UgpPgdGnfrb3lf7kJ95AANsOKrkA9mNnya32Su0q3vHOrTsvxyvHFGqtbapScXU9X1xe+19iEh9U6BFfEBRo6zpQA9aRvhF9br/qHRs97RZUXd7e6nUbF3bqVtszopQGLvtKDiWsIJIBNcaYEqGdXRJUpevbzun/kcIV9kGd1OyHv0J96aub0J9Q13KUwh8vqdgCcAGdKAAv0i/Dpr0/NV9VAzpgEg8Ptlu/Cc1T+fqoenT5LGZ5wAgnQAHCmBLDIwMgqVTy5SDNvH6qwJQ3r/TV25oyK0o5x3bRy9Mz/LLvfcF9aCDQ2nCkBLDQ46pD+d85zKhiXKVdiC6vbadBcMTEqHJ2pP32dr2WjH7Xle4AAnBiLpwE2cWfB2Voyv7eSHv9S8vusbsfenC45z0jTwdNi1PrOzZKk+PBDvN0XsCFWdAUaqGJ/uc56a5xOn10i/9qNDebdMUHndKlgbE+VpfolSf4mfq0Z9JiaOjwsfAbYXG1CCfeUADYS64xQ/uC5+nSgNOzjv+j0O76T/+BBq9uyTOXF3VWR4NaVd+dqWOzDR7z9OMKyvgAEB6EEsKHfN5G2XDJXl7z5Rx16Kl2x738nX0mJ1W0FlatZghwejyRpy21t1bTbPs3v8oTODD8cPqKO/80AQsIpnffMzs6Ww+FQVlZWYJthGJo6daqSk5MVERGhvn37av369TW+z+v1auzYsWrWrJmioqI0ePBg7dq161RaAUKOy+FUbud/650ZMxX5drh+/q/eVrcUFOV/PFe77s7UhZ9s0/Mr/qXnV/xL3978uPIyXv5VIAHQGNQ5lKxcuVJz585V165da2x/6KGHNH36dM2aNUsrV65UUlKSBgwYoNLS0sCYrKwsLV68WDk5Ofr8889VVlamQYMGyefj5j7gSLHOCL3S4QO99T8Pq9c3VfrhxbPl63tOg37Jn+vMTtp2X2/1+qZKM2bO0voxs3Vn/A9q4YpSC1eUPA4e4wUaozrd6FpWVqZzzjlHs2fP1n333aezzjpLM2fOlGEYSk5OVlZWliZNmiTpl7MiiYmJevDBBzVy5EgVFxerefPmWrBgga655hpJ0p49e5SSkqJ33nlHF1988W8enxtdgV+e1nl7cW+1nf6NjMoqGVWVVrd0NIdDzshIlfc5QzuG+AObp/Z6QzfF/GxhYwDqS9BvdL399tt12WWXqX///rrvvvsC2/Pz81VQUKCBAwcGtnk8HvXp00fLli3TyJEjlZeXp6qqqhpjkpOTlZ6ermXLlh0zlHi9Xnm93v+bYIhfWwdOxsNJqzVl5HJtuMWl/954jSpeS1SLr4rlX7PB0r7cqW1VMCBZklTWVlow9HE1d76v1DDeNwPgxGodSnJycrRq1SqtXLnyqH0FBQWSpMTExBrbExMTtX379sCY8PBwxcXFHTXm8PcfKTs7W/fee29tWwVCXlNnE53rkb7o+prUVXrqQCst+fkMS3vqErtF9zZ/41dbwsSqqgBORq1Cyc6dOzVu3DgtWbJETZo0Oe44h8NR42vDMI7adqQTjZk8ebLGjx8f+LqkpEQpKSm16BxoHEb9brdG/W631W0AQJ3U6oaMvLw8FRYWKiMjQ263W263W0uXLtXjjz8ut9sdOENy5BmPwsLCwL6kpCRVVlaqqKjouGOO5PF4FBMTU+MDAABCS61CSb9+/bR27VqtWbMm8Onevbuuv/56rVmzRu3bt1dSUpJyc3MD31NZWamlS5cqMzNTkpSRkaGwsLAaY/bu3at169YFxgAAgManVpdvoqOjlZ6eXmNbVFSUEhISAtuzsrI0bdo0paWlKS0tTdOmTVNkZKSGDh0qSYqNjdWIESM0YcIEJSQkKD4+XhMnTlSXLl3Uv39/k6YFAAAaGtNXdL3rrrtUXl6u0aNHq6ioSD179tSSJUsUHR0dGDNjxgy53W4NGTJE5eXl6tevn+bNmyeXy2V2OwAAoIHghXwAACBoarNOCb/RAQCALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALRBKAACALdQqlEydOlUOh6PGJykpKbDfMAxNnTpVycnJioiIUN++fbV+/foaNbxer8aOHatmzZopKipKgwcP1q5du8yZDQAAaLBqfabkzDPP1N69ewOftWvXBvY99NBDmj59umbNmqWVK1cqKSlJAwYMUGlpaWBMVlaWFi9erJycHH3++ecqKyvToEGD5PP5zJkRAABokNy1/ga3u8bZkcMMw9DMmTN1zz336Morr5QkvfDCC0pMTNSiRYs0cuRIFRcX69lnn9WCBQvUv39/SdLChQuVkpKiDz74QBdffPEpTgcAADRUtT5TsnnzZiUnJys1NVXXXnuttm7dKknKz89XQUGBBg4cGBjr8XjUp08fLVu2TJKUl5enqqqqGmOSk5OVnp4eGHMsXq9XJSUlNT4AACC01CqU9OzZU/Pnz9f777+vp59+WgUFBcrMzNS+fftUUFAgSUpMTKzxPYmJiYF9BQUFCg8PV1xc3HHHHEt2drZiY2MDn5SUlNq0DQAAGoBahZJLL71UV111lbp06aL+/fvr7bfflvTLZZrDHA5Hje8xDOOobUf6rTGTJ09WcXFx4LNz587atA0AABqAU3okOCoqSl26dNHmzZsD95kcecajsLAwcPYkKSlJlZWVKioqOu6YY/F4PIqJianxAQAAoeWUQonX69V3332nli1bKjU1VUlJScrNzQ3sr6ys1NKlS5WZmSlJysjIUFhYWI0xe/fu1bp16wJjAABA41Srp28mTpyoyy+/XG3atFFhYaHuu+8+lZSUaNiwYXI4HMrKytK0adOUlpamtLQ0TZs2TZGRkRo6dKgkKTY2ViNGjNCECROUkJCg+Ph4TZw4MXA5CAAANF61CiW7du3Sddddp59//lnNmzdXr169tGLFCrVt21aSdNddd6m8vFyjR49WUVGRevbsqSVLlig6OjpQY8aMGXK73RoyZIjKy8vVr18/zZs3Ty6Xy9yZAQCABsVhGIZhdRO1VVJSotjYWBVtaq+YaFbKBwDArkpK/YrruFXFxcW/eU8ov9EBAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtEEoAAIAtuK1uoC4Mw5AklZT5Le4EAACcyOHf1Yd/d59IgwwlpaWlkqS252yzthEAAHBSSktLFRsbe8IxDuNkoovN+P1+bdy4UWeccYZ27typmJgYq1uqFyUlJUpJSWlUc5Ya57wb45wl5t2Y5t0Y5yw1znkbhqHS0lIlJyfL6TzxXSMN8kyJ0+lUq1atJEkxMTGN5g/2sMY4Z6lxzrsxzlli3o1JY5yz1Pjm/VtnSA7jRlcAAGALhBIAAGALDTaUeDweTZkyRR6Px+pW6k1jnLPUOOfdGOcsMe/GNO/GOGep8c77ZDXIG10BAEDoabBnSgAAQGghlAAAAFsglAAAAFsglAAAAFsglAAAAFtokKFk9uzZSk1NVZMmTZSRkaHPPvvM6pZOyaeffqrLL79cycnJcjgcev3112vsNwxDU6dOVXJysiIiItS3b1+tX7++xhiv16uxY8eqWbNmioqK0uDBg7Vr1656nEXtZGdnq0ePHoqOjlaLFi10xRVXaOPGjTXGhNq858yZo65duwZWcuzdu7fefffdwP5Qm++xZGdny+FwKCsrK7AtFOc9depUORyOGp+kpKTA/lCc82G7d+/WDTfcoISEBEVGRuqss85SXl5eYH8ozr1du3ZH/Xk7HA7dfvvtkkJzzkFjNDA5OTlGWFiY8fTTTxsbNmwwxo0bZ0RFRRnbt2+3urU6e+edd4x77rnHePXVVw1JxuLFi2vsf+CBB4zo6Gjj1VdfNdauXWtcc801RsuWLY2SkpLAmFGjRhmtWrUycnNzjVWrVhkXXnih0a1bN6O6urqeZ3NyLr74YuP555831q1bZ6xZs8a47LLLjDZt2hhlZWWBMaE27zfffNN4++23jY0bNxobN2407r77biMsLMxYt26dYRihN98jffXVV0a7du2Mrl27GuPGjQtsD8V5T5kyxTjzzDONvXv3Bj6FhYWB/aE4Z8MwjP379xtt27Y1hg8fbnz55ZdGfn6+8cEHHxhbtmwJjAnFuRcWFtb4s87NzTUkGR9//LFhGKE552BpcKHk3HPPNUaNGlVj2+mnn2789a9/tagjcx0ZSvx+v5GUlGQ88MADgW0VFRVGbGys8dRTTxmGYRgHDhwwwsLCjJycnMCY3bt3G06n03jvvffqrfdTUVhYaEgyli5dahhG45l3XFyc8cwzz4T8fEtLS420tDQjNzfX6NOnTyCUhOq8p0yZYnTr1u2Y+0J1zoZhGJMmTTLOP//84+4P5bn/2rhx44wOHToYfr+/0czZLA3q8k1lZaXy8vI0cODAGtsHDhyoZcuWWdRVcOXn56ugoKDGnD0ej/r06ROYc15enqqqqmqMSU5OVnp6eoP571JcXCxJio+PlxT68/b5fMrJydHBgwfVu3fvkJ/v7bffrssuu0z9+/evsT2U571582YlJycrNTVV1157rbZu3SoptOf85ptvqnv37rr66qvVokULnX322Xr66acD+0N57odVVlZq4cKFuuWWW+RwOBrFnM3UoELJzz//LJ/Pp8TExBrbExMTVVBQYFFXwXV4Xieac0FBgcLDwxUXF3fcMXZmGIbGjx+v888/X+np6ZJCd95r165V06ZN5fF4NGrUKC1evFhnnHFGyM5XknJycrRq1SplZ2cftS9U592zZ0/Nnz9f77//vp5++mkVFBQoMzNT+/btC9k5S9LWrVs1Z84cpaWl6f3339eoUaN0xx13aP78+ZJC98/7115//XUdOHBAw4cPl9Q45mwmt9UN1IXD4ajxtWEYR20LNXWZc0P57zJmzBh9++23+vzzz4/aF2rz7tSpk9asWaMDBw7o1Vdf1bBhw7R06dLA/lCb786dOzVu3DgtWbJETZo0Oe64UJv3pZdeGvjfXbp0Ue/evdWhQwe98MIL6tWrl6TQm7Mk+f1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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "with Image.open('Images/8.png') as file:\n", + " im = np.asarray(file) \n", + "im = im > 0 # binary\n", + "plt.imshow(im)" + ] + }, + { + "cell_type": "markdown", + "id": "0fe2ee0d-a9e3-44e7-9c20-48306f03c9bf", + "metadata": {}, + "source": [ + "# Option 1: alpha-complex\n", + "First get the coordinates of the black pixels in `a`, then use those points as input." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "88cdf0a1-82a8-44f7-a5a7-58494b3621c8", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "a=np.argwhere(~im)\n", + "pd1=gd.AlphaComplex(points=a).create_simplex_tree().persistence()\n", + "pd1=[(a,(sqrt(b),sqrt(c))) for a,(b,c) in pd1] # AlphaComplex uses squared distances\n", + "gd.plot_persistence_diagram(pd1)" + ] + }, + { + "cell_type": "markdown", + "id": "d65e326f-f7dd-4347-ade1-70245a08eb02", + "metadata": {}, + "source": [ + "# Option 2: cubical\n", + "First build an array containing the distance of each pixel to the nearest black pixel." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "45f38a8c-b3b9-4e93-bae7-79bb2bbcf78a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "imd = distance_transform_edt(im)\n", + "plt.imshow(imd)\n", + "plt.show()\n", + "pd2=gd.CubicalComplex(top_dimensional_cells=imd).persistence()\n", + "gd.plot_persistence_diagram(pd2)" + ] + } + ], + "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": "3.12.4" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}