{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Shape analysis of curves with the Square Root Velocity metric" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lead author: Alice Le Brigant.\n", "\n", "In this notebook, we demonstrate how to compute distances between curves in a way that does not depend on parametrization, i.e. that only depends on the shapes of the curves. This is achieved using the Square Root Velocity metric (see [SKJJ2011](#References)) on the space of parametrized curves, and by quotienting out the action of reparametrization through an optimal matching algorithm (see [LAB2017](#References)). We will use the [`discrete_curves.py`](https://github.com/geomstats/geomstats/blob/master/geomstats/geometry/discrete_curves.py) module. Translation and rotation can also be quotiented out using the `align` method of the [`pre-shape.py`](https://github.com/geomstats/geomstats/blob/master/geomstats/geometry/pre_shape.py) module, but we will not deal with these aspects here. See this [usecase](https://github.com/geomstats/geomstats/blob/master/notebooks/usecase_optic_nerve_heads_analysis_in_kendall_shape_space.ipynb) for details on the `pre_shape.py` module, or this [other usecase](https://github.com/geomstats/challenge-iclr-2021/blob/main/Florent-Michel__Shape-Analysis-of-Cancer-Cells/submission_cell_shape_analysis.ipynb) for an application where both modules are used." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO: Using numpy backend\n" ] } ], "source": [ "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "import geomstats.backend as gs\n", "from geomstats.geometry.euclidean import Euclidean\n", "from geomstats.geometry.discrete_curves import DiscreteCurves" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 1: plane curves" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We start with a basic example in $\\mathbb R^2$. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "r2 = Euclidean(dim=2)\n", "k_sampling_points = 20\n", "\n", "curves_r2 = DiscreteCurves(ambient_manifold=r2, k_sampling_points=k_sampling_points)\n", "\n", "parametrized_curve_a = lambda x: gs.transpose(\n", " gs.array([1 + 2 * gs.sin(gs.pi * x), 3 + 2 * gs.cos(gs.pi * x)])\n", ")\n", "parametrized_curve_b = lambda x: gs.transpose(\n", " gs.array([5 * gs.ones(len(x)), 4 * (1 - x) + 1])\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In practice, we work with discrete curves, i.e. sample points from the parametrized curves. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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RtrWXqqfvQuGvf90LhSXAtvZSVXmhsNRPgW3tDStpGLxQWBqguxsOOAAOPjgPOTSpVYFhJQ2TFwpLxTOspGHyQmGpeIaVNAJeKCwVy7CSRsALhaViGVbSCB1+OBxyCJx5JkyenGcJNnFpNGlMM6ykEYrIYfXSS/Doo3myRROXRpPGNMNKGoVLL113W5OWRpPGNMNKGoWHHx7edkkjY1hJo1Dg0mjSmGZYSaNQ4NJo0phmWEmj0Lc02qRJ+fHmmzdtaTSpmqrSKVjS+nV3wyOPwFFH5bA65piyK5IK0gqdgiWt7dhj4bHH8hdMaUwosFOwYSU1yBFHwBvfCLNnl12JVJACp8MaVlKDbLopfOhDcPXVa0ZFpLZmp2CpNR17LCxfDtdfX3YlUgHsFCy1pkMPhY4OhwI1RhTYKXhCw3+jNIZNmAB/9Vdw2WXw/PPwpjeVXZHUZN3da9YdmzevaX/GIyupwbq74ZVX4Jpryq5Eah+GldRg++8PO+3kUKDUSIaV1GAReaLFjTfCk0+WXY3UHgwrqQmOPRZWr4arriq7Eqk9GFZSE+y5J7z97TZhlBrFsJKapLsb5s+HBx8suxKp9RlWUpP0LWg7Z065dUjtwLCSmmTyZDjooDwUmFLZ1UitzbCSmujYY+G++2DhwrIrkVqbYSU10cyZMHGi11xJo2VYSU209dYwY0Y+b7V6ddnVSE1gp2CpPRx7LDz6KNxyS9mVSA1WpU7BEfGGiLg9IhZGxL0RcfYg+5wQEcsi4q7a7eMNr1RqUR/4AGy2mUOBakMV6xT8KnBISuntwN7AjIg4YJD9fpBS2rt2u6yRRUqtbLPN8gXCl10G48Y1daREKlaVOgWn7MXaw4m1mxNxpTr19MCCBfmcVUpNHSmRilW1TsERMT4i7gKeAm5IKc0fZLejI+LuiLg6IiYP8XtOjojeiOhdtmzZyKuWWsisWeu2uW/SSIlUrKp1Ck4prUop7Q1MAvaLiGkDdvkJMCWltBdwA3D5EL/nkpRSV0qpq6OjYxRlS62jwJESqVgFdgoe1mzAlNJzwM+BGQO2P5NS6vvueBmwb0Oqk9pAgSMlUvG6u+GAA+Dgg2HJkqYEFdQ3G7AjIras3d8EOAy4b8A+2/d7eCSwuIE1Si2twJESqW1NqGOf7YHLI2I8OdyuSildGxHnAL0ppbnApyPiSGAl8CxwQrMKllpN3xfNz30Oli6FrbaCCy9s2hdQqS1FKmmFza6urtTb21vK35bKkBL8yZ/kkPrXfy27GqmBpk/PP+fNG/WviogFKaWugdtdwUIqSARMmwaLFpVdidR6DCupQH1hZcsQaXgMK6lAU6fCs8/CE0+UXYnUWgwrqUDTalco3ntvuXVIrcawkgrUF1aet5KGx7CSCtTRAdtua1hJw2VYSQVzRqA0fIaVVLBp0/I5KzsHqy3YKVhqT9OmwYsvupCt2kCVOgVLaqypU/NPhwLV8irWKVhSAxlWahtV6hQsqbG22AImT/ZaK7WBqnUKltRYzghUW6hap2BJjTVtGixeDCtXll2JNAoFdgqup5+VpAabNi1PoHrwQdhtt7KrkUahuxsuvTTfb0CLkKF4ZCWVwGWXpOExrKQS7L577m9lWEn1MaykEmy6KbzlLYaVVC/DSiqJMwKl+hlWUkmmTYP//M81K9VIGpphJZXkuedg1SrYZJOmrv8ptQXDSipBTw9cdlm+n1JT1/+U2oJhJZVg1ix45ZW1tzVp/U+pLRhWUgkKXP9TaguGlVSCAtf/lNqCYSWVoMD1P6XmslOw1L761v+cUFuds4nrf0rNU2Cn4EgpNfyX1qOrqyv19vaW8relqth1V9hvP2cBqkVNmZIDaqDOTliyZES/MiIWpJS6Bm73yEqSNDJ2CpYkVZ6dgiVJlWenYElS5dkpWJLUEuwULElStsGwiog3RMTtEbEwIu6NiLMH2WfjiPhBRDwQEfMjYkpTqpUkjUn1HFm9ChySUno7sDcwIyIOGLDPScAfU0q7AP8MfKWhVUqSxrQNhlXKXqw9nFi7DbyS+Cjg8tr9q4FDIyIaVqUkaUyr65xVRIyPiLuAp4AbUkrzB+yyA/AIQEppJbAc2LqBdUqSxrC6wiqltCqltDcwCdgvIqaN5I9FxMkR0RsRvcuWLRvJr5AkjUHDmg2YUnoO+DkwY8BTS4HJABExAdgCeGaQf39JSqkrpdTV0dExooIlSWNPPbMBOyJiy9r9TYDDgPsG7DYXOL52fyZwUyprhVxJUtup56Lg7YHLI2I8OdyuSildGxHnAL0ppbnAt4DvRcQDwLPAMU2rWJI05mwwrFJKdwPvGGT7F/rdfwX4740tTZKkzBUsJEmVZ1hJkkbOtvaSpEorsK29YSVJGplZs2DFirW3rViRtzeYYSVJGhnb2kuSKs+29lL76+mBJUtg9uymnpeWmse29lJ76zsvvXJlftzE89JS8xTY1j7KWhWpq6sr9fb2lvK3pbJNmZIDaqDOzny0JbWU6dPzzwa0tY+IBSmlroHbPbKSSlDgeWmpLRhWUgkKPC8ttQXDSirBuefCRhutva1J56WltmBYSSXo7oYjjsj3I5p6XlpqC/W0CJHUBOPGwa67wu9+V3YlUvV5ZCWVZNEimDat7Cqk1mBYSSV45RX4z/80rKR6GVZSCe6/H1atMqykehlWUgkWLco/DSupPoaVVIJFi2DixDzBQtKGGVZSCRYtgt12y4EltTQ7BUvt6957HQJUG7BTsNS+XnwR/vAHw0ptwE7BUvv67W/zT8NKLc9OwVL7ciag2oadgqX2tWgRbLIJ7LRT2ZVIo2SnYKl9LVoEe+6Z1waUWlqBnYJdyFYq2L33wmGHlV2F1CDd3XDppfl+AzoFD8XvdlKBnn0WHnvM81XScBlWUoHuvTf/NKyk4TGspAI5E1AaGcNKKtCiRbDFFrDDDmVXIrUWw0oqUF/DxYiyK5Fai2ElFSQluwNLI2VYSQV58sk8G3Dq1LIrkVqPYSUVoKcH3v72fP8f/7FpXRSktrXBsIqIyRHx84j4bUTcGxGnD7LP9IhYHhF31W5faE65Uuvp66Lw1FP58VNPNa2LgtS26jmyWgl8NqW0J3AAcGpE7DnIfreklPau3c5paJVSCyuwi4LUtjYYVimlx1NKd9TuvwAsBpx4K9WpwC4KUvGq2Ck4IqYA7wDmD/L0OyNiYURcHxGDnkKOiJMjojciepctWzb8aqUWVGAXBalYVewUHBFvBH4IfCal9PyAp+8AOlNKbwf+BfjxYL8jpXRJSqkrpdTV0dExwpKl1nLuuTB+/NrbmtRFQSpW1ToFR8REclD1pJR+NPD5lNLzKaUXa/evAyZGxDYNrVRqUTNnwkYbwWab5YuBm9hFQSpWgWPcG2wREhEBfAtYnFI6f4h9tgOeTCmliNiPHILPNLRSqUVddx28/DL87Gfw3veWXY3UQDvumIf+BtveYPUcWR0IfAQ4pN/U9MMj4pSIOKW2z0xgUUQsBC4EjkkppYZXK7Wg2bNh223hkEPKrkRqsAI7BW/wyCql9EtgvSuZpZQuAi5qVFFSu3j+efjJT/I55wm2OlW76RvLPumkPMmiszMHlZ2CpdZyzTX5PXzssWVXIjWJnYKl1jd7Nuy8M+y/f9mVSK3NsJKa5Ikn4MYb81GVLUGk0TGspCa56ipYvdohQKkRDCupSWbPhr33hj32KLsSqfUZVlITPPggzJ/vUZXUKIaV1ASzZ+fzVMccU3YlUnswrKQGSymv43nQQTB5ctnVSO3BsJIa7K674P77HQKUGsmwkhps9myYOBGOPrrsSqT2YVhJDbRqFcyZAzNmwNZbl12N1D4MK6mBbrkFli51CFBjSBU7BUtav9mzc9+qI48suxKpAFXsFCxp/V59Fa6+Gj74wXW7JkhtqWqdgiVt2M9+Bn/8o0OAGkMK7BRsWEkN0tMD22wD73lP2ZVIBRmqI3BJnYIlbcALL8DcufDhD+dp69KYUGCnYMNKGqWeHthpJ3jlFfjhD5s2GUqqnu5uuOQS2Hjj/LizMz+2U7BULX2TofrOMT/5ZH4MTXm/StVjp2Cp+gqcDCWNaYaVNAoFToaSxjTDShqF7bcffHsTJkNJY5phJY3Cdtutu61Jk6GkMc2wkkZo3jy44448Xb2zMzdbbOJkKGlMczagNAKrV8NnP5ubK373u7DJJmVXJLU3w0oagdmz81HV975nUElFcBhQGqaXX4azzoJ993UdQKkoHllJw/T1r8Mjj8AVV8A4v+5JhfCtJg3DU0/BeeflflXTp5ddjTR2GFbSMJx9dl6h4itfKbsSqSLsFCxVy333wTe/CZ/4BOy+e9nVSBVgp2Cpej73uXzB7xe/WHYlUkUUuDimEyykOsybl/tVffnLsO22ZVcjVYSdgqXq6H8B8Omnl12NVCFV6hQcEZMj4ucR8duIuDci1nm7RnZhRDwQEXdHxD4Nr1QqSd8FwOed5wXA0loq1il4JfDZlNKewAHAqRGx54B93gfsWrudDFzc0CqlkvRdALzPPl4ALK2jSp2CU0qPA4/X7r8QEYuBHYDf9tvtKOCKlFICfh0RW0bE9rV/K7UsLwCWNqCKnYIjYgrwDmD+gKd2AB7p9/jR2raB//7kiOiNiN5ly5YNs1SpWMuWeQGwVBV1h1VEvBH4IfCZlNLzI/ljKaVLUkpdKaWujo6OkfwKqTBf+pIXAEtVUVdYRcREclD1pJR+NMguS4HJ/R5Pqm2TWpIXAEvVUs9swAC+BSxOKZ0/xG5zgY/WZgUeACz3fJVamRcAS9VSz0XBBwIfAe6JiLtq284CdgRIKX0DuA44HHgAWAGc2PBKpYL0XQB83nleACxVRT2zAX8JxAb2ScCpjSpKKkNPT56m/vDDMH48bLdd2RVJ6uNySxJr1uPsW+Zs1So47TTYaKOmXDIiaZi8ckSi0PU4JY2AYSVR6HqckkbAsJKALbYYfHsT1uOUNAKGlca8G26A557Lkyr6a9J6nJJGwLDSmPb738Nf/RW87W15/c3OToho6nqcUnspqK29swE1Zr30Enzwg/n+NdfAW94CH/tYuTVJLWWotvbQ8G96HllpTEoJPv5xuOcemDMnB5WkYbKtvdRcX/safP/7uU39X/xF2dVILcq29lLz3HBDXvtv5sz8U9IIVamtvdRO/vAHOOYY2HNP+M538mQKSSNUsbb2UltYsSJPqFi9Ok+oeOMby65IanFVamsvtYO+CRV33w3XXQe77FJ2RVKbKKitvWGlMeH88/Osv/POgxkzyq5G0nA5DKi2d+ONcMYZcPTR8PnPl12NpJEwrNTWlizJEyr22AO++10nVEityrBS2+qbULFypRMqpFbnOSu1pZTgb/4GFi6En/4Udt217IokjYZhpbZ0wQUwe3a+3ON97yu7Gkmj5TCg2s5NN8H//J/woQ/BmWeWXY2kRjCs1FaWLIEPfxh2280JFVI7MazUNvpPqPjxj2HzzcuuSFKjGFZqeT09eZWXzTaDu+7KK1U4oUJqL4aVWlpf77f+HQkuvrhpzUolDVRQp2DDSi2twN5vkgYaqlNwEwLLsFLLSim/NwbThN5vkgYq8NuiYaWWtHo1fOYzQz/fhN5vkgayU7A0tFdfhb/+a7jwwnzBb0G93yQNZKdgaXDLl+cWH1ddBV/9au5NdckleTZgRFN7v0kaqMBOwS63pJbx2GP5SGrxYrjyyjWB1N1tOEml6HvjnXRSHvLo7MxBZadgjVWLF+cjqmefzQvTHnZY2RVJAuwULPX51a/giCNg4sR8Kcc++5RdkaSiec5KlfaTn8Chh8JWW8FttxlU0lhlWKmyLrsM/vIvYdq0HFQ771x2RZLKssGwiohvR8RTEbFoiOenR8TyiLirdvtC48vUWJISnHNObp74F3+RW350dJRdlaQy1XPO6rvARcAV69nnlpTSEQ2pSGPaypVw6ql5+vnxx+fzthMnll2VpLJt8MgqpXQz8GwBtWiMe/llmDkzB9VZZ8F3vmNQScoadc7qnRGxMCKuj4ipQ+0UESdHRG9E9C5btqxBf1rt4Nln4T3vgblz4V/+JV+qYeNESX0aMXX9DqAzpfRiRBwO/BgYtJtQSukS4BKArq6u1IC/rTbw8MP5GqoHH8wrU8ycWXZFkqpm1EdWKaXnU0ov1u5fB0yMiG1GXZnGhHvugXe+M69O8e//blBJGtyowyoitovIAzYRsV/tdz4z2t+r9veLX8C7352H+265BQ4+uOyKJFVVPVPX5wC/AnaLiEcj4qSIOCUiTqntMhNYFBELgQuBY1JKDvFpHT09uZHouHF5Kvqhh8J/+2/5Gqq3va3s6iSNSEGdgjd4ziql9NcbeP4i8tR2aUh9DUX7+rQ9/XQOrc98xt5TUssaqlMwNHwx2yjrIKirqyv19vaW8rdVvClTBu/q29kJS5YUXY2khmjCGzsiFqSUugZud7klFaLAhqKSimKnYLWLp5/OK1EMdQDvEKDUwuwUrFaXUh7O3mMPmD07L0hr+3mpzRTYKdiwUsMtWZI7+h53HOyyC9x5J1xzje3npbbT3Z3fyBtvnB838Y3tBAs1zMqVcOGF8Pd/n2f6ffnL8MlPwvjxZVcmqammT88/G9ApeKgJFnYKVkPceWdu6bFgAXzgA/Cv/wqTJ5ddlaR24TCgRmXFCjjjDPjTP4VHH81r+/2//2dQSWosj6w0YjfeCJ/4BPz+9/Dxj8P/+T/wJ39SdlWS2pFHVhq2Z57J09EPOwwmTMjD1JdealBJah7DSnXrm46+++55OvqsWbBwoQvQSmo+hwFVlyVL4JRT4Gc/g/33z0dSLj4rqSgeWWm9Vq6E88+HqVPh1ltzF99bbzWoJBXLIysN6a678sQJp6NLKptHVgLW7jW14445nLq6nI4uqRo8stI6vaYeeSTfpk+HH/3IWX6SyueRlTjrrDVB1d8f/mBQSdqAqnQKVvt6+uk8q89eU5JGpMBOwR5ZjUF33gkf+xhMmpSPqt7whsH3s9eUpPWaNWvdYZkVK/L2BjOsxojXX88TJd79bthnH/jBD+DEE2HRIrjsMntNSRqBAodlHAZsc8uW5fYyF18MS5fCzjvn66ZOPBG23DLvM3Vq/jlrVv7/2I475qCy15Sk9dpxxzz0N9j2BjOs2tSCBfkC3jlz4LXX8jp+3/hGboo4WH+p7m7DSdIwnXvu2lOJoWnDMoZVG3n9dfjhD3NI3XYbbLZZvqj3tNNye3lJaqi+b7gnnZQnWXR2Nm1YxrBqA08+uWao7/HH4S1vgQsugBNOgC22KLs6SW2tuztPK4aGdAoeimHVwn7zm9xG/qqr8lDfjBl5ssSMGXklCklqF36kVVz/ZZCmTIHLL8/bDjgA9tsvL4P0iU/AfffB9dfD4YcbVJLaj0dWFTZwGaSHHspDewBvfWs+qjr+eHjTm0orUZIKYVhV2Oc+N/gySNtuC4sXewQlaewwrCoiJXjwwby8Vt9t6dLB9122zKCSNLYYViVJCX73u8HDqaMjt4p/4QX44x/X/bcugyRprDGsCpJSHrqbNy8H0803wxNP5Oe22y6H08EH57Ycu+8OEeueswKXQZI0NhlWTbJ6dV53r++o6eab8/Ad5AVkDz10TUDtumsOp4H6rqtzGSRJY51hNQw9PUMHx6pVcPfda4fTs8/m5zo78zJHfUdOO+00eDgNxmWQJMmwqttg08g//nH46U/zuaVbboHly/Nzb3kL/OVfrjly6uwsrWxJagsbDKuI+DZwBPBUSmnaIM8H8HXgcGAFcEJK6Y5GF1qk1avhuefysN2yZblJ4ac/ve408ldeyQvFvvWt8OEPrwmnSZNKKVuS2lY9R1bfBS4Crhji+fcBu9Zu+wMX13421fqG5AZ67bUcOP3DZ333n3kmD+vVIwLuv79x/7skqaX0tbV/9dW8zE5ZC9mmlG6OiCnr2eUo4IqUUgJ+HRFbRsT2KaXHG1XkQIMNyZ14Yj7K2XbbdcPn+ecH/z0RsPXWsM02ebr4brvBgQfm+x0da7Z3dMAHPjD4dU9OI5c0ZhXY1r4R56x2AB7p9/jR2ramhdVgnZRffz2fP9phhzUBs/POa+4PDJ9ttoGtthq8t9NgvvIVp5FL0lrW19a+gmFVt4g4GTgZYMdRHJIM1TE5Ah59dMS/dr2cRi5JAxTY1r4Ri/YsBSb3ezyptm0dKaVLUkpdKaWujo6OEf/BoXKu2UNy3d2wZEmegLFkiUElaYwr8MO4EWE1F/hoZAcAy5t5vgryEc2mm669zSE5SSpYgR/GGwyriJgD/ArYLSIejYiTIuKUiDiltst1wO+BB4BLgU81vMoBurtzZ9zOzjz019mZH3ukI0kFKvDDOPIkvuJ1dXWl3t7eUv62JKmaImJBSqlr4HYbTUiSKs+wkiRVnmElSao8w0qSVHmGlSSp8gwrSVLlGVaSpMozrCRJlWdYSZIqz7CSJFWeYSVJqjzDSpJUeaUtZBsRy4CHGvCrtgGebsDvKUqr1QutV3Or1QutV7P1Nl+r1dyoejtTSus0PCwtrBolInoHW6G3qlqtXmi9mlutXmi9mq23+Vqt5mbX6zCgJKnyDCtJUuW1Q1hdUnYBw9Rq9ULr1dxq9ULr1Wy9zddqNTe13pY/ZyVJan/tcGQlSWpzhpUkqfJaIqwi4tsR8VRELBri+YiICyPigYi4OyL2KbrGAfVsqN7pEbE8Iu6q3b5QdI2D1DQ5In4eEb+NiHsj4vRB9qnM61xnvZV5nSPiDRFxe0QsrNV79iD7bBwRP6i9vvMjYkoJpfavp56aT4iIZf1e44+XUeuAmsZHxJ0Rce0gz1XqNa7VtL56q/j6LomIe2r19A7yfHM+J1JKlb8BBwH7AIuGeP5w4HoggAOA+RWvdzpwbdmv64Catgf2qd3fHPgdsGdVX+c6663M61x7zd5Yuz8RmA8cMGCfTwHfqN0/BvhBC9R8AnBR2a/vgJr+Fpg92H/7qr3GddRbxdd3CbDNep5vyudESxxZpZRuBp5dzy5HAVek7NfAlhGxfTHVrauOeisnpfR4SumO2v0XgMXADgN2q8zrXGe9lVF7zV6sPZxYuw2c3XQUcHnt/tXAoRERBZW4jjprrpSImAS8H7hsiF0q9RrXUW8rasrnREuEVR12AB7p9/hRKvzBVfPO2vDK9RExtexi+qsNjbyD/E26v0q+zuupFyr0OteGe+4CngJuSCkN+fqmlFYCy4GtCy1ygDpqBji6NtxzdURMLrbCdVwAnAGsHuL5qr3GF7D+eqFary/kLyz/HhELIuLkQZ5vyudEu4RVq7mDvP7V24F/AX5cbjlrRMQbgR8Cn0kpPV92PRuygXor9TqnlFallPYGJgH7RcS0MuupRx01/wSYklLaC7iBNUcthYuII4CnUkoLyqphOOqstzKvbz9/llLaB3gfcGpEHFTEH22XsFoK9P/GMam2rZJSSs/3Da+klK4DJkbENiWXRURMJH/w96SUfjTILpV6nTdUb1Vf55TSc8DPgRkDnvqv1zciJgBbAM8UWtwQhqo5pfRMSunV2sPLgH0LLq2/A4EjI2IJ8H3gkIi4csA+VXqNN1hvxV5fAFJKS2s/nwKuAfYbsEtTPifaJazmAh+tzUI5AFieUnq87KKGEhHb9Y2TR8R+5P8OpX4o1er5FrA4pXT+ELtV5nWup94qvc4R0RERW9bubwIcBtw3YLe5wPG1+zOBm1LtjHUZ6ql5wLmII8nnDkuRUjozpTQppTSFPHnippTScQN2q8xrXE+9VXp9ASJis4jYvO8+8F5g4KznpnxOTBjtLyhCRMwhz+zaJiIeBb5IPtlLSukbwHXkGSgPACuAE8upNKuj3pnAJyNiJfAycEyZH0o1BwIfAe6pnaMAOAvYESr5OtdTb5Ve5+2ByyNiPDk0r0opXRsR5wC9KaW55PD9XkQ8QJ6gc0xJtfapp+ZPR8SRwEpyzSeUVu0QKv4ar6Pir++bgWtq3wEnALNTSv8WEadAcz8nXG5JklR57TIMKElqY4aVJKnyDCtJUuUZVpKkyjOsJEmVZ1hJkirPsJIkVd7/BzBzUNEE/C82AAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sampling_points = gs.linspace(0.0, 1.0, k_sampling_points)\n", "curve_a = parametrized_curve_a(sampling_points)\n", "curve_b = parametrized_curve_b(sampling_points)\n", "\n", "plt.figure(figsize=(7, 7))\n", "plt.plot(curve_a[:, 0], curve_a[:, 1], \"o-b\")\n", "plt.plot(curve_b[:, 0], curve_b[:, 1], \"o-r\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Distance between parametrized curves" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The metric we use to compare parametrized curves is the so-called Square Root Velocity metric, that computes an $L^2$ distance between the velocities of the curves, suitably renormalized to get reparametrization invariance. See [SKJJ2011](#References) for more details." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.972134949925512" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "curves_r2.metric.dist(point_a=curve_a, point_b=curve_b)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The distance, as any riemannian distance, is computed as the length of the geodesic." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "geod_fun = curves_r2.metric.geodesic(curve_a, curve_b)\n", "\n", "n_times = 20\n", "times = gs.linspace(0.0, 1.0, n_times)\n", "geod = geod_fun(times)\n", "\n", "plt.figure(figsize=(7, 7))\n", "plt.plot(geod[0, :, 0], geod[0, :, 1], \"o-b\")\n", "for i in range(1, n_times - 1):\n", " plt.plot(geod[i, :, 0], geod[i, :, 1], \"o-k\")\n", "plt.plot(geod[-1, :, 0], geod[-1, :, 1], \"o-r\")\n", "plt.title(\"Geodesic for the Square Root Velocity metric\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Square Root Velocity metric is reparametrization invariant in the sense that, if the two curves are reparametrized *in the same way*, the distance does not change." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.9694017211949013" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "curve_a_resampled = parametrized_curve_a(sampling_points**2)\n", "curve_b_resampled = parametrized_curve_b(sampling_points**2)\n", "\n", "curves_r2.metric.dist(curve_a_resampled, curve_b_resampled)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The geodesic keeps the same shape." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "geod_fun_1 = curves_r2.metric.geodesic(\n", " curve_a_resampled, curve_b_resampled\n", ")\n", "geod_1 = geod_fun_1(times)\n", "\n", "plt.figure(figsize=(7, 7))\n", "plt.plot(geod_1[0, :, 0], geod_1[0, :, 1], \"o-b\")\n", "for i in range(1, n_times - 1):\n", " plt.plot(geod_1[i, :, 0], geod_1[i, :, 1], \"o-k\")\n", "plt.plot(geod_1[-1, :, 0], geod_1[-1, :, 1], \"o-r\")\n", "plt.title(\"Geodesic when both curves are reparametrized in the same way\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "However, if the curves are reparametrized in *different* ways, the distance changes, and so does the shape of the geodesic." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2.018033236326409" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "curves_r2.metric.dist(curve_a, curve_b_resampled)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "geod_fun_2 = curves_r2.metric.geodesic(curve_a, curve_b_resampled)\n", "geod_2 = geod_fun_2(times)\n", "\n", "plt.figure(figsize=(7, 7))\n", "plt.plot(geod_2[0, :, 0], geod_2[0, :, 1], \"o-b\")\n", "for i in range(1, n_times - 1):\n", " plt.plot(geod_2[i, :, 0], geod_2[i, :, 1], \"o-k\")\n", "plt.plot(geod_2[-1, :, 0], geod_2[-1, :, 1], \"o-r\")\n", "plt.title(\"Geodesic when only the red curve is reparametrized\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Distance between unparametrized curves" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In order to completely quotient out parametrization, distances are computed in the base space of a fiber bundle where the fibers represent equivalent classes of curves with the same shape (i.e. equal modulo reparametrization). Any infinitesimal deformation of a curve can be split into the sum of vertical deformation (tangent to the fiber) that simply reparametrizes the curve without changing its shape, and a horizontal deformation (orthogonal to the fiber) that changes the shape. The distance between two unparametrized curves is then computed as the length of a horizontal geodesic linking their two fibers. \n", "\n", "In practice, to compute the horizontal geodesic linking the fibers of two discrete parametrized curves `curve_a` and `curve_b`, we can fix the parametrization of `curve_a`, and search for a reparametrization of `curve_b` (i.e. another discrete curve with same shape as `curve_b`) that best \"matches\" `curve_a`. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since geodesics that start with a horizontal velocity stay horizontal, a first idea would be the following: \n", "\n", "- compute the geodesic between `curve_a` and `curve_b`\n", "- compute the horizontal part of its initial velocity vector\n", "- shoot from `curve_a` using this horizontal vector." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "geod_velocity = n_times * (geod[1:] - geod[:-1])\n", "\n", "curves_r2.equip_with_group_action(\"reparametrizations\")\n", "curves_r2.equip_with_quotient_structure()\n", "\n", "geod_velocity_hor = curves_r2.fiber_bundle.horizontal_projection(geod_velocity, geod[:-1])\n", "geod_velocity_ver = curves_r2.fiber_bundle.vertical_projection(geod_velocity, geod[:-1])\n", "\n", "shooted_geod_fun = curves_r2.metric.geodesic(\n", " initial_point=curve_a, initial_tangent_vec=geod_velocity_hor[0]\n", ")\n", "shooted_geod = shooted_geod_fun(times)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The problem with this idea is that, while it yields a horizontal geodesic starting at `curve_a`, its end point does not belong to the fiber of `curve_b`: as we cas see below, the end curve of the horizontal geodesic is not a reparametrization of the initial red curve, it does not have the same shape." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(7, 7))\n", "plt.plot(shooted_geod[0, :, 0], shooted_geod[0, :, 1], \"o-b\")\n", "plt.plot(shooted_geod[-1, :, 0], shooted_geod[-1, :, 1], \"o-r\")\n", "for i in range(1, n_times - 1):\n", " plt.plot(shooted_geod[i, :, 0], shooted_geod[i, :, 1], \"o-\", c=\"k\")\n", "plt.title(\"Shooting with horizontal part of initial geodesic velocity vector\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To obtain a horizontal geodesic starting at `curve_a` and ending at a curve with same shape as `curve_b`, we use an iterative optimal matching algorithm [LAB2017](#References). This algorithm moves along the fiber of `curve_b` to find the best representative with respect to `curve_a` by iterating the following steps:\n", "\n", "- step 1: compute the geodesic between `curve_a` and the current representative of `curve_b` (initially, `curve_b`)\n", "- step 2: compute the path whose velocity is a reparametrization of the horizontal part of the geodesic velocity at all time, and set the new representative of `curve_b` to be the end point of this path.\n", "\n", "Note that the first step yields a geodesic that is not horizontal, while the second step yields a horizontal path that is not geodesic. By iterating these two steps, the algorithm converges to a horizontal geodesic." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "hgeod_fun = curves_r2.metric.geodesic(curve_a, curve_b)\n", "hgeod = hgeod_fun(times)\n", "\n", "plt.figure(figsize=(7, 7))\n", "plt.plot(hgeod[0, :, 0], hgeod[0, :, 1], \"o-b\")\n", "for i in range(1, n_times - 1):\n", " plt.plot(hgeod[i, :, 0], hgeod[i, :, 1], \"o-k\")\n", "plt.plot(hgeod[-1, :, 0], hgeod[-1, :, 1], \"o-r\")\n", "plt.title(\"Horizontal geodesic\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can check the horizontality of this geodesic by computing the norm of the vertical part of its velocity for all times." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "geod_vertical_norm = curves_r2.metric.norm(\n", " geod_velocity_ver, geod[:-1]\n", ")\n", "\n", "hgeod_velocity = n_times * (hgeod[1:] - hgeod[:-1])\n", "hgeod_velocity_ver = curves_r2.fiber_bundle.vertical_projection(hgeod_velocity, hgeod[:-1])\n", "hgeod_vertical_norm = curves_r2.metric.norm(\n", " hgeod_velocity_ver, hgeod[:-1]\n", ")\n", "\n", "plt.figure()\n", "plt.plot(times[:-1], geod_vertical_norm, \"o\", label=\"initial geodesic\")\n", "plt.plot(times[:-1], hgeod_vertical_norm, \"o\", label=\"horizontal geodesic\")\n", "plt.legend()\n", "plt.title(\"Norm of the vertical part of the geodesic velocity\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also check that this horizontal geodesic does not change if we resample the end curve." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "hgeod_fun = curves_r2.quotient.metric.geodesic(\n", " curve_a, curve_b_resampled\n", ")\n", "hgeod = hgeod_fun(times)\n", "\n", "plt.figure(figsize=(7, 7))\n", "plt.plot(hgeod[0, :, 0], hgeod[0, :, 1], \"o-b\")\n", "for i in range(1, n_times - 1):\n", " plt.plot(hgeod[i, :, 0], hgeod[i, :, 1], \"o-k\")\n", "plt.plot(hgeod[-1, :, 0], hgeod[-1, :, 1], \"o-r\")\n", "plt.title(\"Horizontal geodesic when the red curve is reparametrized\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we can check that the quotient distance remains approximately constant for any parametrizations of the curves." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.7187665990832923\n", "1.7195167839345487\n", "1.7187052810816863\n", "1.7178456824338564\n" ] } ], "source": [ "print(curves_r2.quotient.metric.dist(curve_a, curve_b))\n", "print(curves_r2.quotient.metric.dist(curve_a_resampled, curve_b))\n", "print(curves_r2.quotient.metric.dist(curve_a_resampled, curve_b_resampled))\n", "print(curves_r2.quotient.metric.dist(curve_a, curve_b_resampled))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 2: 3D curves" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below we follow similar steps for curves in $\\mathbb R^3$. In this example, we can see that the horizontal geodesic \"straightens out\" the original geodesic." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "k_sampling_points = 100\n", "\n", "r3 = Euclidean(dim=3)\n", "curves_r3 = DiscreteCurves(ambient_manifold=r3, k_sampling_points=k_sampling_points)\n", "\n", "parametrized_curve_a = lambda x: gs.transpose(\n", " gs.stack((gs.cos(2 + 8 * x), gs.sin(2 + 8 * x), 2 + 10 * x))\n", ")\n", "parametrized_curve_b = lambda x: gs.transpose(\n", " gs.stack((gs.cos(4 + 8 * x), gs.sin(4 + 8 * x), 2 + 10 * x))\n", ")\n", "\n", "sampling_points = gs.linspace(0.0, 1.0, k_sampling_points)\n", "curve_a = parametrized_curve_a(sampling_points)\n", "curve_b = parametrized_curve_b(sampling_points)\n", "\n", "fig = plt.figure(figsize=(10, 10))\n", "ax = fig.add_subplot(111, projection=\"3d\")\n", "ax.plot(curve_a[:, 0], curve_a[:, 1], curve_a[:, 2], \"b\")\n", "ax.plot(curve_b[:, 0], curve_b[:, 1], curve_b[:, 2], \"r\")\n", "ax.scatter(curve_a[0, 0], curve_a[0, 1], curve_a[0, 2], \"b\")\n", "ax.scatter(curve_b[0, 0], curve_b[0, 1], curve_b[0, 2], \"r\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "geod_fun = curves_r3.metric.geodesic(curve_a, curve_b)\n", "\n", "n_times = 20\n", "t = gs.linspace(0.0, 1.0, n_times)\n", "geod = geod_fun(t)\n", "\n", "fig = plt.figure(figsize=(10, 10))\n", "ax = fig.add_subplot(111, projection=\"3d\")\n", "ax.plot(curve_a[:, 0], curve_a[:, 1], curve_a[:, 2], \"-\", c=\"b\", linewidth=2)\n", "ax.plot(curve_b[:, 0], curve_b[:, 1], curve_b[:, 2], \"-\", c=\"r\", linewidth=2)\n", "for i in range(1, n_times - 1):\n", " ax.plot(geod[i, :, 0], geod[i, :, 1], geod[i, :, 2], \"-\", c=\"k\")\n", "for j in range(k_sampling_points):\n", " ax.plot(geod[:, j, 0], geod[:, j, 1], geod[:, j, 2], \"--\", c=\"k\")\n", "plt.title(\"SRV geodesic\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "tags": [ "nbsphinx-thumbnail" ] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "curves_r3.equip_with_group_action(\"reparametrizations\")\n", "curves_r3.equip_with_quotient_structure()\n", "\n", "hgeod_fun = curves_r3.quotient.metric.geodesic(curve_a, curve_b)\n", "hgeod = hgeod_fun(t)\n", "\n", "fig = plt.figure(figsize=(10, 10))\n", "ax = fig.add_subplot(111, projection=\"3d\")\n", "ax.plot(curve_a[:, 0], curve_a[:, 1], curve_a[:, 2], \"-\", c=\"b\", linewidth=2)\n", "ax.plot(curve_b[:, 0], curve_b[:, 1], curve_b[:, 2], \"-\", c=\"r\", linewidth=2)\n", "for i in range(1, n_times - 1):\n", " ax.plot(hgeod[i, :, 0], hgeod[i, :, 1], hgeod[i, :, 2], \"-\", c=\"k\")\n", "for j in range(k_sampling_points):\n", " ax.plot(hgeod[:, j, 0], hgeod[:, j, 1], hgeod[:, j, 2], \"--\", c=\"k\")\n", "plt.title(\"Horizontal SRV geodesic\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "geod_velocity = n_times * (geod[1:] - geod[:-1])\n", "geod_velocity_ver = curves_r3.fiber_bundle.vertical_projection(geod_velocity, geod[:-1])\n", "geod_vertical_norm = curves_r2.metric.norm(\n", " geod_velocity_ver, geod[:-1]\n", ")\n", "\n", "hgeod_velocity = n_times * (hgeod[1:] - hgeod[:-1])\n", "hgeod_velocity_ver = curves_r3.fiber_bundle.vertical_projection(hgeod_velocity, hgeod[:-1])\n", "hgeod_vertical_norm = curves_r2.metric.norm(\n", " hgeod_velocity_ver, hgeod[:-1]\n", ")\n", "\n", "plt.figure()\n", "plt.plot(times[:-1], geod_vertical_norm, \"o\", label=\"initial geodesic\")\n", "plt.plot(times[:-1], hgeod_vertical_norm, \"o\", label=\"horizontal geodesic\")\n", "plt.legend()\n", "plt.title(\"Norm of the vertical part of the geodesic velocity\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "\n", ".. [SKJJ2011] A. Srivastava, E. Klassen, S. H. Joshi and I. H. Jermyn,\n", " \"Shape Analysis of Elastic Curves in Euclidean Spaces,\"\n", " in IEEE Transactions on Pattern Analysis and Machine Intelligence,\n", " vol. 33, no. 7, pp. 1415-1428, July 2011.\n", "\n", ".. [L2017] A. Le Brigant,\n", " \"A discrete framework to find the optimal matching between manifold-valued curves,\"\n", " in Journal of Mathematical Imaging and Vision, 61,\n", " pp. 40-70, 2019." ] } ], "metadata": { "backends": [ "numpy", "autograd", "pytorch" ], "celltoolbar": "Tags", "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": "3.9.15" } }, "nbformat": 4, "nbformat_minor": 2 }