{ "cells": [ { "cell_type": "markdown", "id": "eed1b5c4", "metadata": {}, "source": [ "# Analyze Synthetic Grid Cells: Warping" ] }, { "cell_type": "markdown", "id": "2140b895-48fd-452a-8722-657066f5d957", "metadata": {}, "source": [ "### Imports & setup" ] }, { "cell_type": "code", "execution_count": 2, "id": "1f4d9ff1-4dfe-4373-a5ce-a13eabac5ac2", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Working directory: /Users/facosta/Desktop/code/neurometry/neurometry\n", "Directory added to path: /Users/facosta/Desktop/code/neurometry\n", "Directory added to path: /Users/facosta/Desktop/code/neurometry/neurometry\n" ] } ], "source": [ "import setup\n", "\n", "setup.main()\n", "\n", "import os\n", "\n", "os.environ[\"GEOMSTATS_BACKEND\"] = \"pytorch\"\n", "\n", "import geomstats.backend as gs\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from geomstats.geometry.pullback_metric import PullbackMetric\n", "from neurometry.curvature.viz import plot_grid_rate_maps, plot_grids\n", "\n", "import neurometry.curvature.datasets.gridcells as gridcells\n", "\n", "%load_ext autoreload\n", "%autoreload 2\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "id": "5c22229a-6f8c-4d04-a27c-4bea1d1f7497", "metadata": { "tags": [] }, "source": [ "## Define diffeomorphism $\\varphi: \\mathbb{R}^2 \\to \\mathbb{R}^2$\n", "\n", "$(x,y) \\mapsto ((1 + \\frac{\\gamma}{(1 + x^2 + y^2)^{\\alpha}})x, (1 + \\frac{\\gamma}{(1 + x^2 + y^2)^{\\beta}})y)$\n", "\n", "$\\gamma \\in \\mathbb{R}, \\alpha, \\beta \\in \\mathbb{R}_{+}$ parameterize the deformation" ] }, { "cell_type": "code", "execution_count": 3, "id": "38675477-54e3-4ab2-bda7-6a610be844f1", "metadata": { "tags": [] }, "outputs": [], "source": [ "def get_plane_warp(alpha, beta, gamma):\n", " def plane_warp(point):\n", " x = point[0]\n", " y = point[1]\n", "\n", " f_x = (1 + gamma / (1 + x**2 + y**2) ** alpha) * x\n", " f_y = (1 + gamma / (1 + x**2 + y**2) ** beta) * y\n", "\n", " return gs.array([f_x, f_y])\n", "\n", " return plane_warp" ] }, { "cell_type": "code", "execution_count": null, "id": "be548073-33fe-46f4-a90b-e69d30f93e2c", "metadata": {}, "outputs": [], "source": [ "# TODO: define inverse diffop" ] }, { "cell_type": "markdown", "id": "feec28a7-e801-4bbd-83da-3685ed5e90ec", "metadata": { "tags": [] }, "source": [ "### Instantiate + plot warp" ] }, { "cell_type": "code", "execution_count": 4, "id": "81384ba0-f9c2-4e9a-ae22-855262a35fce", "metadata": { "tags": [] }, "outputs": [], "source": [ "warp = get_plane_warp(alpha=2, beta=0.1, gamma=-0.4)" ] }, { "cell_type": "code", "execution_count": 5, "id": "bdb46aaf-f8de-474b-a656-c1ab276c14d4", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = gs.linspace(-2, 2, 50)\n", "y = gs.linspace(-2, 2, 50)\n", "x_grid, y_grid = gs.meshgrid(x, y)\n", "x_grid_warp, y_grid_warp = warp((x_grid, y_grid))\n", "fig = plt.figure(figsize=(10, 10))\n", "ax = fig.add_subplot(111)\n", "ax.scatter(x_grid, y_grid, s=10, label=\"Template\")\n", "ax.scatter(x_grid_warp, y_grid_warp, s=10, label=\"Warped\", c=\"red\")\n", "ax.legend(fontsize=\"xx-large\");" ] }, { "cell_type": "markdown", "id": "321922e9-5fa3-482d-9a5c-b39f8027942c", "metadata": { "tags": [] }, "source": [ "## Compute pull-back metric $(\\varphi^*g)_{ij} = \\partial_{i}\\varphi^{a}\\partial_{j}\\varphi^{b}g_{ab}$" ] }, { "cell_type": "code", "execution_count": 9, "id": "d9265523-e548-4c64-895c-3de9a8b8faca", "metadata": { "tags": [] }, "outputs": [], "source": [ "# from geomstats.geometry.euclidean import Euclidean\n", "# from geomstats.geometry.pullback_metric import PullbackDiffeoMetric\n", "\n", "\n", "# class NeuralPullbackDiffeoMetric(PullbackDiffeoMetric):\n", "# def __init__(self):\n", "# super().__init__(space=Euclidean(dim=2))\n", "\n", "# def _define_embedding_space(self):\n", "# return Euclidean(dim=2)\n", "\n", "# def diffeormorphism(self, base_point):\n", "# return warp(base_point)\n", "\n", "# def inverse_diffeormorphism(self, base_point):\n", "# return warp(base_point)\n", "\n", "\n", "# pullback_diffeo_metric = NeuralPullbackDiffeoMetric()" ] }, { "cell_type": "markdown", "id": "9b7f0fe5-2cbd-4b38-8004-15fb1b3c3cb0", "metadata": {}, "source": [ "### Quick distance check " ] }, { "cell_type": "code", "execution_count": 33, "id": "54f860ee-7a2f-4e07-90fd-091825dba599", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "tensor(0.5221)" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "point_a = gs.array([0.0, 0.0])\n", "point_b = gs.array([1.0, 1.0])\n", "pullback_metric.dist(point_a, point_b)" ] }, { "cell_type": "markdown", "id": "5e980688-cce8-432f-aa13-3f9bcbfb4427", "metadata": {}, "source": [ "### Quick metric matrix check" ] }, { "cell_type": "code", "execution_count": 34, "id": "14c1584c-00e4-4f84-b54e-3696e7746235", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "tensor([[0.2500, 0.0000],\n", " [0.0000, 0.2500]])" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pullback_metric.metric_matrix(point_a)" ] }, { "cell_type": "markdown", "id": "11e7c0ec-1053-47fe-b9a7-667fbbe2ad1d", "metadata": { "tags": [] }, "source": [ "## Plot volume element $\\sqrt{|\\text{det}(g)|}$" ] }, { "cell_type": "code", "execution_count": 45, "id": "a6acf6f7-07f8-406e-bb49-d9c87e77f726", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Combine and reshape the x and y coordinates into a list of 2D points\n", "points = gs.vstack((x_grid.ravel(), y_grid.ravel())).T\n", "\n", "\n", "# Define your function\n", "def volume_element(x, y):\n", " point = gs.array([x, y])\n", " g = pullback_metric.metric_matrix(point)\n", " return gs.sqrt(gs.abs(gs.linalg.det(g)))\n", "\n", "\n", "# Apply the function to each point in the list\n", "values = gs.array([volume_element(x, y) for x, y in points])\n", "\n", "# Reshape the values back into a 2D grid\n", "z_values = values.reshape(x_grid.shape)\n", "\n", "# Create the heatmap\n", "plt.imshow(\n", " z_values, origin=\"lower\", extent=[x.min(), x.max(), y.min(), y.max()], cmap=\"RdPu\"\n", ")\n", "plt.colorbar(label=\"Function Value\")\n", "plt.xlabel(\"X\")\n", "plt.ylabel(\"Y\")\n", "plt.title(\"Heatmap of volume element at (x, y)\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "0c6550b8-0153-4bb4-80eb-ac5fd5fcceb7", "metadata": { "tags": [] }, "source": [ "## Synthetic grid cell deformations" ] }, { "cell_type": "markdown", "id": "04e9c8e0-9bcd-467c-8fd2-6be092c7d109", "metadata": { "tags": [] }, "source": [ "### Grid cell parameters" ] }, { "cell_type": "code", "execution_count": 27, "id": "7d2df255-d399-45a3-84a7-677a4db9ea28", "metadata": { "tags": [] }, "outputs": [], "source": [ "warp = get_plane_warp(alpha=2, beta=0.1, gamma=-0.4)\n", "\n", "grid_scale = 0.6\n", "arena_dims = np.array([4, 4])\n", "n_cells = 1\n", "grid_orientation_mean = 0\n", "grid_orientation_std = 0\n", "field_width = 0.01\n", "resolution = 50\n", "lx = grid_scale\n", "ly = grid_scale * np.sqrt(3) / 2" ] }, { "cell_type": "markdown", "id": "c5c52bb8-4822-408f-8f08-54cf06205c17", "metadata": { "tags": [] }, "source": [ "### Create grid + deformed grid" ] }, { "cell_type": "code", "execution_count": 28, "id": "0ee7c302-5075-4f01-80c4-40efd23961d2", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "grids, grids_warped = gridcells.generate_all_grids(\n", " grid_scale,\n", " arena_dims,\n", " n_cells,\n", " grid_orientation_mean,\n", " grid_orientation_std,\n", " warp=warp,\n", " lattice_type=\"hexagonal\",\n", ")\n", "\n", "plot_grids(grids, arena_dims)\n", "plot_grids(grids_warped, arena_dims)" ] }, { "cell_type": "code", "execution_count": 29, "id": "cc99f571-9cd7-4599-9180-b08d68ec9512", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rate_maps = gridcells.create_rate_maps(grids, field_width, arena_dims, resolution)\n", "plot_grid_rate_maps(rate_maps)" ] }, { "cell_type": "code", "execution_count": 30, "id": "2f0f35fd-6b5d-443e-9b12-e7b671bfbf7b", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rate_maps_warped = gridcells.create_rate_maps(\n", " grids_warped, field_width, arena_dims, resolution\n", ")\n", "plot_grid_rate_maps(rate_maps_warped)" ] }, { "cell_type": "markdown", "id": "d678102c-abad-4892-9e08-b56a713225a3", "metadata": {}, "source": [ "## Apply LDDMM algorithm to grid cell maps" ] }, { "cell_type": "code", "execution_count": 16, "id": "be1bf37c-9fd0-4471-950b-2b0edb9ef4af", "metadata": { "tags": [] }, "outputs": [], "source": [ "import pyLDDMM\n", "from pyLDDMM.utils.visualization import plot_warpgrid" ] }, { "cell_type": "code", "execution_count": 17, "id": "e587c7f2-128e-4d42-931c-1ce523bef5e5", "metadata": {}, "outputs": [], "source": [ "i0 = rate_maps[0]\n", "\n", "i1 = rate_maps_warped[0]" ] }, { "cell_type": "code", "execution_count": 18, "id": "6dac6ff0-cb89-470b-b506-868288ee26d7", "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "iteration 0, energy 7356.55, thereof 0.00 regularization and 7356.55 intensity difference\n", "iteration 1, energy 6838.51, thereof 3.54 regularization and 6834.97 intensity difference\n", "iteration 2, energy 6367.28, thereof 6.96 regularization and 6360.32 intensity difference\n", "iteration 3, energy 5938.25, thereof 10.25 regularization and 5928.00 intensity difference\n", "iteration 4, energy 5547.29, thereof 13.42 regularization and 5533.88 intensity difference\n", "iteration 5, energy 5190.54, thereof 16.47 regularization and 5174.07 intensity difference\n", "iteration 6, energy 4861.58, thereof 19.41 regularization and 4842.16 intensity difference\n", "iteration 7, energy 4557.26, thereof 22.25 regularization and 4535.01 intensity difference\n", "iteration 8, energy 4275.87, thereof 24.97 regularization and 4250.89 intensity difference\n", "iteration 9, energy 4016.48, thereof 27.59 regularization and 3988.88 intensity difference\n", "iteration 10, energy 3778.18, thereof 30.12 regularization and 3748.06 intensity difference\n", "iteration 11, energy 3557.51, thereof 32.54 regularization and 3524.97 intensity difference\n", "iteration 12, energy 3354.38, thereof 34.87 regularization and 3319.52 intensity difference\n", "iteration 13, energy 3166.99, thereof 37.10 regularization and 3129.88 intensity difference\n", "iteration 14, energy 2993.88, thereof 39.25 regularization and 2954.63 intensity difference\n", "iteration 15, energy 2834.33, thereof 41.31 regularization and 2793.01 intensity difference\n", "iteration 16, energy 2686.97, thereof 43.29 regularization and 2643.68 intensity difference\n", "iteration 17, energy 2551.61, thereof 45.19 regularization and 2506.43 intensity difference\n", "iteration 18, energy 2427.08, thereof 47.01 regularization and 2380.08 intensity difference\n", "iteration 19, energy 2310.40, thereof 48.75 regularization and 2261.65 intensity difference\n", "iteration 20, energy 2203.97, thereof 50.43 regularization and 2153.54 intensity difference\n", "iteration 21, energy 2105.18, thereof 52.03 regularization and 2053.15 intensity difference\n", "iteration 22, energy 2013.10, thereof 53.58 regularization and 1959.53 intensity difference\n", "iteration 23, energy 1927.95, thereof 55.05 regularization and 1872.90 intensity difference\n", "iteration 24, energy 1848.93, thereof 56.47 regularization and 1792.46 intensity difference\n", "iteration 25, energy 1775.58, thereof 57.83 regularization and 1717.75 intensity difference\n", "iteration 26, energy 1707.29, thereof 59.14 regularization and 1648.15 intensity difference\n", "iteration 27, energy 1643.74, thereof 60.39 regularization and 1583.35 intensity difference\n", "iteration 28, energy 1584.68, thereof 61.59 regularization and 1523.09 intensity difference\n", "iteration 29, energy 1528.41, thereof 62.75 regularization and 1465.67 intensity difference\n", "iteration 30, energy 1477.33, thereof 63.85 regularization and 1413.48 intensity difference\n", "iteration 31, energy 1429.57, thereof 64.91 regularization and 1364.66 intensity difference\n", "iteration 32, energy 1384.94, thereof 65.94 regularization and 1319.01 intensity difference\n", "iteration 33, energy 1343.24, thereof 66.92 regularization and 1276.33 intensity difference\n", "iteration 34, energy 1304.30, thereof 67.86 regularization and 1236.44 intensity difference\n", "iteration 35, energy 1267.90, thereof 68.77 regularization and 1199.14 intensity difference\n", "iteration 36, energy 1233.93, thereof 69.64 regularization and 1164.30 intensity difference\n", "iteration 37, energy 1202.25, thereof 70.48 regularization and 1131.77 intensity difference\n", "iteration 38, energy 1172.59, thereof 71.28 regularization and 1101.31 intensity difference\n", "iteration 39, energy 1143.91, thereof 72.06 regularization and 1071.85 intensity difference\n", "iteration 40, energy 1117.90, thereof 72.80 regularization and 1045.10 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energy 708.69, thereof 87.08 regularization and 621.61 intensity difference\n", "iteration 73, energy 702.22, thereof 87.35 regularization and 614.87 intensity difference\n", "iteration 74, energy 695.94, thereof 87.61 regularization and 608.33 intensity difference\n", "iteration 75, energy 689.85, thereof 87.86 regularization and 601.99 intensity difference\n", "iteration 76, energy 683.94, thereof 88.11 regularization and 595.83 intensity difference\n", "iteration 77, energy 678.18, thereof 88.35 regularization and 589.83 intensity difference\n", "iteration 78, energy 672.57, thereof 88.59 regularization and 583.98 intensity difference\n", "iteration 79, energy 666.77, thereof 88.82 regularization and 577.95 intensity difference\n", "iteration 80, energy 661.42, thereof 89.04 regularization and 572.38 intensity difference\n", "iteration 81, energy 656.20, thereof 89.27 regularization and 566.93 intensity difference\n", "iteration 82, energy 651.10, thereof 89.48 regularization and 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and 472.57 intensity difference\n", "iteration 104, energy 562.59, thereof 93.39 regularization and 469.19 intensity difference\n", "iteration 105, energy 559.43, thereof 93.54 regularization and 465.89 intensity difference\n", "iteration 106, energy 556.32, thereof 93.69 regularization and 462.64 intensity difference\n", "iteration 107, energy 553.28, thereof 93.83 regularization and 459.44 intensity difference\n", "iteration 108, energy 550.28, thereof 93.98 regularization and 456.31 intensity difference\n", "iteration 109, energy 547.10, thereof 94.12 regularization and 452.99 intensity difference\n", "iteration 110, energy 544.22, thereof 94.25 regularization and 449.96 intensity difference\n", "iteration 111, energy 541.38, thereof 94.39 regularization and 446.99 intensity difference\n", "iteration 112, energy 538.60, thereof 94.53 regularization and 444.07 intensity difference\n", "iteration 113, energy 535.86, thereof 94.66 regularization and 441.20 intensity difference\n", "iteration 114, energy 533.17, thereof 94.79 regularization and 438.37 intensity difference\n", "iteration 115, energy 530.52, thereof 94.92 regularization and 435.60 intensity difference\n", "iteration 116, energy 527.92, thereof 95.05 regularization and 432.87 intensity difference\n", "iteration 117, energy 525.36, thereof 95.18 regularization and 430.18 intensity difference\n", "iteration 118, energy 522.84, thereof 95.31 regularization and 427.53 intensity difference\n", "iteration 119, energy 520.15, thereof 95.43 regularization and 424.71 intensity difference\n", "iteration 120, energy 517.70, thereof 95.56 regularization and 422.14 intensity difference\n", "iteration 121, energy 515.29, thereof 95.68 regularization and 419.61 intensity difference\n", "iteration 122, energy 512.91, thereof 95.80 regularization and 417.11 intensity difference\n", "iteration 123, energy 510.57, thereof 95.92 regularization and 414.65 intensity difference\n", "iteration 124, energy 508.27, thereof 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intensity difference\n", "iteration 135, energy 484.93, thereof 97.28 regularization and 387.66 intensity difference\n", "iteration 136, energy 483.01, thereof 97.39 regularization and 385.63 intensity difference\n", "iteration 137, energy 481.12, thereof 97.49 regularization and 383.63 intensity difference\n", "iteration 138, energy 479.26, thereof 97.60 regularization and 381.66 intensity difference\n", "iteration 139, energy 477.25, thereof 97.70 regularization and 379.55 intensity difference\n", "iteration 140, energy 475.45, thereof 97.80 regularization and 377.64 intensity difference\n", "iteration 141, energy 473.67, thereof 97.90 regularization and 375.76 intensity difference\n", "iteration 142, energy 471.89, thereof 98.01 regularization and 373.89 intensity difference\n", "iteration 143, energy 470.14, thereof 98.11 regularization and 372.03 intensity difference\n", "iteration 144, energy 468.40, thereof 98.21 regularization and 370.20 intensity difference\n", "iteration 145, energy 466.69, thereof 98.31 regularization and 368.39 intensity difference\n", "iteration 146, energy 465.00, thereof 98.40 regularization and 366.60 intensity difference\n", "iteration 147, energy 463.33, thereof 98.50 regularization and 364.83 intensity difference\n", "iteration 148, energy 461.69, thereof 98.60 regularization and 363.09 intensity difference\n", "iteration 149, energy 459.91, thereof 98.69 regularization and 361.21 intensity difference\n", "iteration 150, energy 458.31, thereof 98.79 regularization and 359.52 intensity difference\n", "iteration 151, energy 456.73, thereof 98.88 regularization and 357.84 intensity difference\n", "iteration 152, energy 455.17, thereof 98.98 regularization and 356.19 intensity difference\n", "iteration 153, energy 453.63, thereof 99.07 regularization and 354.56 intensity difference\n", "iteration 154, energy 452.10, thereof 99.16 regularization and 352.94 intensity difference\n", "iteration 155, energy 450.58, thereof 99.25 regularization and 351.33 intensity difference\n", "iteration 156, energy 449.09, thereof 99.35 regularization and 349.74 intensity difference\n", "iteration 157, energy 447.61, thereof 99.44 regularization and 348.17 intensity difference\n", "iteration 158, energy 446.15, thereof 99.53 regularization and 346.63 intensity difference\n", "iteration 159, energy 444.58, thereof 99.62 regularization and 344.96 intensity difference\n", "iteration 160, energy 443.15, thereof 99.70 regularization and 343.45 intensity difference\n", "iteration 161, energy 441.75, thereof 99.79 regularization and 341.96 intensity difference\n", "iteration 162, energy 440.37, thereof 99.88 regularization and 340.49 intensity difference\n", "iteration 163, energy 439.00, thereof 99.97 regularization and 339.04 intensity difference\n", "iteration 164, energy 437.65, thereof 100.05 regularization and 337.60 intensity difference\n", "iteration 165, energy 436.32, thereof 100.14 regularization and 336.18 intensity 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regularization and 309.37 intensity difference\n", "iteration 187, energy 410.14, thereof 101.89 regularization and 308.25 intensity difference\n", "iteration 188, energy 409.12, thereof 101.97 regularization and 307.15 intensity difference\n", "iteration 189, energy 407.99, thereof 102.04 regularization and 305.95 intensity difference\n", "iteration 190, energy 406.99, thereof 102.11 regularization and 304.87 intensity difference\n", "iteration 191, energy 406.00, thereof 102.19 regularization and 303.81 intensity difference\n", "iteration 192, energy 405.00, thereof 102.26 regularization and 302.74 intensity difference\n", "iteration 193, energy 404.02, thereof 102.33 regularization and 301.68 intensity difference\n", "iteration 194, energy 403.04, thereof 102.40 regularization and 300.64 intensity difference\n", "iteration 195, energy 402.08, thereof 102.48 regularization and 299.61 intensity difference\n", "iteration 196, energy 401.13, thereof 102.55 regularization and 298.59 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thereof 103.95 regularization and 279.13 intensity difference\n", "iteration 218, energy 382.32, thereof 104.02 regularization and 278.30 intensity difference\n", "iteration 219, energy 381.48, thereof 104.08 regularization and 277.40 intensity difference\n", "iteration 220, energy 380.73, thereof 104.14 regularization and 276.59 intensity difference\n", "iteration 221, energy 379.99, thereof 104.20 regularization and 275.79 intensity difference\n", "iteration 222, energy 379.26, thereof 104.27 regularization and 275.00 intensity difference\n", "iteration 223, energy 378.53, thereof 104.33 regularization and 274.21 intensity difference\n", "iteration 224, energy 377.81, thereof 104.39 regularization and 273.42 intensity difference\n", "iteration 225, energy 377.10, thereof 104.45 regularization and 272.65 intensity difference\n", "iteration 226, energy 376.39, thereof 104.51 regularization and 271.88 intensity difference\n", "iteration 227, energy 375.69, thereof 104.57 regularization and 271.12 intensity difference\n", "iteration 228, energy 374.99, thereof 104.63 regularization and 270.36 intensity difference\n", "iteration 229, energy 374.22, thereof 104.69 regularization and 269.53 intensity difference\n", "iteration 230, energy 373.54, thereof 104.75 regularization and 268.79 intensity difference\n", "iteration 231, energy 372.87, thereof 104.81 regularization and 268.06 intensity difference\n", "iteration 232, energy 372.20, thereof 104.87 regularization and 267.33 intensity difference\n", "iteration 233, energy 371.54, thereof 104.93 regularization and 266.61 intensity difference\n", "iteration 234, energy 370.88, thereof 104.99 regularization and 265.89 intensity difference\n", "iteration 235, energy 370.23, thereof 105.05 regularization and 265.19 intensity difference\n", "iteration 236, energy 369.58, thereof 105.10 regularization and 264.48 intensity difference\n", "iteration 237, energy 368.93, thereof 105.16 regularization and 263.77 intensity 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energy 362.13, thereof 105.78 regularization and 256.35 intensity difference\n", "iteration 249, energy 361.48, thereof 105.83 regularization and 255.64 intensity difference\n", "iteration 250, energy 360.91, thereof 105.89 regularization and 255.02 intensity difference\n", "iteration 251, energy 360.34, thereof 105.94 regularization and 254.40 intensity difference\n", "iteration 252, energy 359.78, thereof 106.00 regularization and 253.78 intensity difference\n", "iteration 253, energy 359.23, thereof 106.05 regularization and 253.18 intensity difference\n", "iteration 254, energy 358.68, thereof 106.10 regularization and 252.57 intensity difference\n", "iteration 255, energy 358.13, thereof 106.16 regularization and 251.97 intensity difference\n", "iteration 256, energy 357.59, thereof 106.21 regularization and 251.38 intensity difference\n", "iteration 257, energy 357.06, thereof 106.26 regularization and 250.79 intensity difference\n", "iteration 258, energy 356.52, thereof 106.32 regularization and 250.21 intensity difference\n", "iteration 259, energy 355.92, thereof 106.37 regularization and 249.55 intensity difference\n", "iteration 260, energy 355.40, thereof 106.42 regularization and 248.98 intensity difference\n", "iteration 261, energy 354.89, thereof 106.47 regularization and 248.41 intensity difference\n", "iteration 262, energy 354.37, thereof 106.53 regularization and 247.85 intensity difference\n", "iteration 263, energy 353.87, thereof 106.58 regularization and 247.29 intensity difference\n", "iteration 264, energy 353.36, thereof 106.63 regularization and 246.74 intensity difference\n", "iteration 265, energy 352.87, thereof 106.68 regularization and 246.19 intensity difference\n", "iteration 266, energy 352.37, thereof 106.73 regularization and 245.64 intensity difference\n", "iteration 267, energy 351.88, thereof 106.78 regularization and 245.10 intensity difference\n", "iteration 268, energy 351.40, thereof 106.83 regularization and 244.57 intensity difference\n", "iteration 269, energy 350.85, thereof 106.88 regularization and 243.96 intensity difference\n", "iteration 270, energy 350.37, thereof 106.93 regularization and 243.44 intensity difference\n", "iteration 271, energy 349.90, thereof 106.98 regularization and 242.92 intensity difference\n", "iteration 272, energy 349.42, thereof 107.03 regularization and 242.39 intensity difference\n", "iteration 273, energy 348.95, thereof 107.08 regularization and 241.87 intensity difference\n", "iteration 274, energy 348.48, thereof 107.13 regularization and 241.35 intensity difference\n", "iteration 275, energy 348.02, thereof 107.18 regularization and 240.84 intensity difference\n", "iteration 276, energy 347.55, thereof 107.23 regularization and 240.33 intensity difference\n", "iteration 277, energy 347.10, thereof 107.28 regularization and 239.82 intensity difference\n", "iteration 278, energy 346.64, thereof 107.33 regularization and 239.32 intensity difference\n", 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thereof 107.85 regularization and 233.91 intensity difference\n", "iteration 290, energy 341.35, thereof 107.90 regularization and 233.45 intensity difference\n", "iteration 291, energy 340.94, thereof 107.94 regularization and 233.00 intensity difference\n", "iteration 292, energy 340.54, thereof 107.99 regularization and 232.55 intensity difference\n", "iteration 293, energy 340.14, thereof 108.03 regularization and 232.11 intensity difference\n", "iteration 294, energy 339.75, thereof 108.08 regularization and 231.67 intensity difference\n", "iteration 295, energy 339.36, thereof 108.13 regularization and 231.23 intensity difference\n", "iteration 296, energy 338.97, thereof 108.17 regularization and 230.80 intensity difference\n", "iteration 297, energy 338.58, thereof 108.22 regularization and 230.37 intensity difference\n", "iteration 298, energy 338.20, thereof 108.26 regularization and 229.94 intensity difference\n", "iteration 299, energy 337.76, thereof 108.31 regularization and 229.45 intensity difference\n", "iteration 300, energy 337.38, thereof 108.35 regularization and 229.03 intensity difference\n", "iteration 301, energy 337.01, thereof 108.40 regularization and 228.61 intensity difference\n", "iteration 302, energy 336.64, thereof 108.44 regularization and 228.20 intensity difference\n", "iteration 303, energy 336.28, thereof 108.49 regularization and 227.79 intensity difference\n", "iteration 304, energy 335.92, thereof 108.53 regularization and 227.39 intensity difference\n", "iteration 305, energy 335.56, thereof 108.57 regularization and 226.98 intensity difference\n", "iteration 306, energy 335.20, thereof 108.62 regularization and 226.59 intensity difference\n", "iteration 307, energy 334.85, thereof 108.66 regularization and 226.19 intensity difference\n", "iteration 308, energy 334.50, thereof 108.71 regularization and 225.80 intensity difference\n", "iteration 309, energy 334.09, thereof 108.75 regularization and 225.34 intensity 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regularization and 217.75 intensity difference\n", "iteration 331, energy 327.11, thereof 109.67 regularization and 217.43 intensity difference\n", "iteration 332, energy 326.83, thereof 109.71 regularization and 217.12 intensity difference\n", "iteration 333, energy 326.55, thereof 109.75 regularization and 216.80 intensity difference\n", "iteration 334, energy 326.29, thereof 109.79 regularization and 216.50 intensity difference\n", "iteration 335, energy 326.03, thereof 109.83 regularization and 216.19 intensity difference\n", "iteration 336, energy 325.76, thereof 109.87 regularization and 215.89 intensity difference\n", "iteration 337, energy 325.51, thereof 109.91 regularization and 215.59 intensity difference\n", "iteration 338, energy 325.25, thereof 109.95 regularization and 215.30 intensity difference\n", "iteration 339, energy 324.93, thereof 109.99 regularization and 214.94 intensity difference\n", "iteration 340, energy 324.68, thereof 110.03 regularization and 214.65 intensity difference\n", "iteration 341, energy 324.44, thereof 110.07 regularization and 214.36 intensity difference\n", "iteration 342, energy 324.19, thereof 110.11 regularization and 214.08 intensity difference\n", "iteration 343, energy 323.95, thereof 110.15 regularization and 213.80 intensity difference\n", "iteration 344, energy 323.70, thereof 110.19 regularization and 213.52 intensity difference\n", "iteration 345, energy 323.47, thereof 110.23 regularization and 213.24 intensity difference\n", "iteration 346, energy 323.23, thereof 110.27 regularization and 212.96 intensity difference\n", "iteration 347, energy 322.99, thereof 110.30 regularization and 212.69 intensity difference\n", "iteration 348, energy 322.76, thereof 110.34 regularization and 212.42 intensity difference\n", "iteration 349, energy 322.47, thereof 110.38 regularization and 212.09 intensity difference\n", "iteration 350, energy 322.24, thereof 110.42 regularization and 211.82 intensity difference\n", "iteration 351, energy 322.01, thereof 110.46 regularization and 211.56 intensity difference\n", "iteration 352, energy 321.79, thereof 110.50 regularization and 211.30 intensity difference\n", "iteration 353, energy 321.57, thereof 110.53 regularization and 211.04 intensity difference\n", "iteration 354, energy 321.35, thereof 110.57 regularization and 210.78 intensity difference\n", "iteration 355, energy 321.13, thereof 110.61 regularization and 210.52 intensity difference\n", "iteration 356, energy 320.92, thereof 110.65 regularization and 210.27 intensity difference\n", "iteration 357, energy 320.70, thereof 110.69 regularization and 210.02 intensity difference\n", "iteration 358, energy 320.49, thereof 110.72 regularization and 209.77 intensity difference\n", "iteration 359, energy 320.22, thereof 110.76 regularization and 209.46 intensity difference\n", "iteration 360, energy 320.01, thereof 110.80 regularization and 209.21 intensity difference\n", "iteration 361, energy 319.80, thereof 110.83 regularization and 208.97 intensity difference\n", "iteration 362, energy 319.60, thereof 110.87 regularization and 208.73 intensity difference\n", "iteration 363, energy 319.40, thereof 110.91 regularization and 208.49 intensity difference\n", "iteration 364, energy 319.20, thereof 110.95 regularization and 208.25 intensity difference\n", "iteration 365, energy 319.00, thereof 110.98 regularization and 208.02 intensity difference\n", "iteration 366, energy 318.81, thereof 111.02 regularization and 207.79 intensity difference\n", "iteration 367, energy 318.61, thereof 111.06 regularization and 207.56 intensity difference\n", "iteration 368, energy 318.42, thereof 111.09 regularization and 207.33 intensity difference\n", "iteration 369, energy 318.17, thereof 111.13 regularization and 207.04 intensity difference\n", "iteration 370, energy 317.98, thereof 111.17 regularization and 206.81 intensity difference\n", "iteration 371, energy 317.79, thereof 111.20 regularization and 206.59 intensity difference\n", "iteration 372, energy 317.61, thereof 111.24 regularization and 206.37 intensity difference\n", "iteration 373, energy 317.42, thereof 111.27 regularization and 206.15 intensity difference\n", "iteration 374, energy 317.24, thereof 111.31 regularization and 205.93 intensity difference\n", "iteration 375, energy 317.08, thereof 111.35 regularization and 205.73 intensity difference\n", "iteration 376, energy 316.91, thereof 111.38 regularization and 205.53 intensity difference\n", "iteration 377, energy 316.75, thereof 111.42 regularization and 205.33 intensity difference\n", "iteration 378, energy 316.58, thereof 111.45 regularization and 205.13 intensity difference\n", "iteration 379, energy 316.36, thereof 111.49 regularization and 204.87 intensity difference\n", "iteration 380, energy 316.20, thereof 111.52 regularization and 204.68 intensity difference\n", "iteration 381, energy 316.04, thereof 111.56 regularization and 204.48 intensity difference\n", "iteration 382, energy 315.89, thereof 111.59 regularization and 204.29 intensity difference\n", "iteration 383, energy 315.74, thereof 111.63 regularization and 204.11 intensity difference\n", "iteration 384, energy 315.58, thereof 111.66 regularization and 203.92 intensity difference\n", "iteration 385, energy 315.43, thereof 111.70 regularization and 203.74 intensity difference\n", "iteration 386, energy 315.29, thereof 111.73 regularization and 203.55 intensity difference\n", "iteration 387, energy 315.14, thereof 111.77 regularization and 203.37 intensity difference\n", "iteration 388, energy 315.00, thereof 111.80 regularization and 203.19 intensity difference\n", "iteration 389, energy 314.79, thereof 111.84 regularization and 202.95 intensity difference\n", "iteration 390, energy 314.65, thereof 111.87 regularization and 202.77 intensity difference\n", "iteration 391, energy 314.51, thereof 111.91 regularization and 202.60 intensity difference\n", "iteration 392, energy 314.37, thereof 111.94 regularization and 202.43 intensity difference\n", "iteration 393, energy 314.24, thereof 111.98 regularization and 202.26 intensity difference\n", "iteration 394, energy 314.11, thereof 112.01 regularization and 202.10 intensity difference\n", "iteration 395, energy 313.98, thereof 112.04 regularization and 201.94 intensity difference\n", "iteration 396, energy 313.85, thereof 112.08 regularization and 201.78 intensity difference\n", "iteration 397, energy 313.73, thereof 112.11 regularization and 201.62 intensity difference\n", "iteration 398, energy 313.61, thereof 112.15 regularization and 201.46 intensity difference\n", "iteration 399, energy 313.43, thereof 112.18 regularization and 201.25 intensity difference\n", "iteration 400, energy 313.32, thereof 112.21 regularization and 201.10 intensity difference\n", "iteration 401, energy 313.21, thereof 112.25 regularization and 200.96 intensity difference\n", "iteration 402, energy 313.10, thereof 112.28 regularization and 200.82 intensity difference\n", "iteration 403, energy 312.99, thereof 112.31 regularization and 200.67 intensity difference\n", "iteration 404, energy 312.88, thereof 112.35 regularization and 200.53 intensity difference\n", "iteration 405, energy 312.78, thereof 112.38 regularization and 200.39 intensity difference\n", "iteration 406, energy 312.67, thereof 112.41 regularization and 200.26 intensity difference\n", "iteration 407, energy 312.57, thereof 112.45 regularization and 200.12 intensity difference\n", "iteration 408, energy 312.47, thereof 112.48 regularization and 199.99 intensity difference\n", "iteration 409, energy 312.30, thereof 112.51 regularization and 199.79 intensity difference\n", "iteration 410, energy 312.20, thereof 112.55 regularization and 199.66 intensity difference\n", "iteration 411, energy 312.11, thereof 112.58 regularization and 199.53 intensity difference\n", "iteration 412, energy 312.01, thereof 112.61 regularization and 199.40 intensity difference\n", "iteration 413, energy 311.92, thereof 112.65 regularization and 199.27 intensity difference\n", "iteration 414, energy 311.83, thereof 112.68 regularization and 199.15 intensity difference\n", "iteration 415, energy 311.74, thereof 112.71 regularization and 199.02 intensity difference\n", "iteration 416, energy 311.65, thereof 112.74 regularization and 198.90 intensity difference\n", "iteration 417, energy 311.56, thereof 112.78 regularization and 198.78 intensity difference\n", "iteration 418, energy 311.47, thereof 112.81 regularization and 198.66 intensity difference\n", "iteration 419, energy 311.32, thereof 112.84 regularization and 198.48 intensity difference\n", "iteration 420, energy 311.24, thereof 112.87 regularization and 198.36 intensity difference\n", "iteration 421, energy 311.15, thereof 112.91 regularization and 198.25 intensity difference\n", "iteration 422, energy 311.07, thereof 112.94 regularization and 198.13 intensity difference\n", "iteration 423, energy 310.99, thereof 112.97 regularization and 198.02 intensity difference\n", "iteration 424, energy 310.92, thereof 113.00 regularization and 197.92 intensity difference\n", "iteration 425, energy 310.85, thereof 113.03 regularization and 197.81 intensity difference\n", "iteration 426, energy 310.77, thereof 113.07 regularization and 197.71 intensity difference\n", "iteration 427, energy 310.70, thereof 113.10 regularization and 197.61 intensity difference\n", "iteration 428, energy 310.64, thereof 113.13 regularization and 197.51 intensity difference\n", "iteration 429, energy 310.50, thereof 113.16 regularization and 197.34 intensity difference\n", "iteration 430, energy 310.43, thereof 113.19 regularization and 197.24 intensity difference\n", "iteration 431, energy 310.37, thereof 113.22 regularization and 197.15 intensity difference\n", "iteration 432, energy 310.31, thereof 113.26 regularization and 197.05 intensity difference\n", "iteration 433, energy 310.25, thereof 113.29 regularization and 196.96 intensity difference\n", "iteration 434, energy 310.18, thereof 113.32 regularization and 196.87 intensity difference\n", "iteration 435, energy 310.11, thereof 113.35 regularization and 196.76 intensity difference\n", "iteration 436, energy 310.04, thereof 113.38 regularization and 196.66 intensity difference\n", "iteration 437, energy 309.98, thereof 113.41 regularization and 196.56 intensity difference\n", "iteration 438, energy 309.91, thereof 113.44 regularization and 196.47 intensity difference\n", "iteration 439, energy 309.79, thereof 113.47 regularization and 196.32 intensity difference\n", "iteration 440, energy 309.73, thereof 113.51 regularization and 196.23 intensity difference\n", "iteration 441, energy 309.68, thereof 113.54 regularization and 196.14 intensity difference\n", "iteration 442, energy 309.62, thereof 113.57 regularization and 196.06 intensity difference\n", "iteration 443, energy 309.57, thereof 113.60 regularization and 195.97 intensity difference\n", "iteration 444, energy 309.52, thereof 113.63 regularization and 195.89 intensity difference\n", "iteration 445, energy 309.47, thereof 113.66 regularization and 195.81 intensity difference\n", "iteration 446, energy 309.42, thereof 113.69 regularization and 195.73 intensity difference\n", "iteration 447, energy 309.37, thereof 113.72 regularization and 195.65 intensity difference\n", "iteration 448, energy 309.32, thereof 113.75 regularization and 195.57 intensity difference\n", "iteration 449, energy 309.21, thereof 113.78 regularization and 195.43 intensity difference\n", "iteration 450, energy 309.17, thereof 113.81 regularization and 195.36 intensity difference\n", "iteration 451, energy 309.12, thereof 113.84 regularization and 195.28 intensity difference\n", "iteration 452, energy 309.08, thereof 113.87 regularization and 195.21 intensity difference\n", "iteration 453, energy 309.04, thereof 113.90 regularization and 195.14 intensity difference\n", "iteration 454, energy 309.00, thereof 113.93 regularization and 195.07 intensity difference\n", "iteration 455, energy 308.96, thereof 113.96 regularization and 195.00 intensity difference\n", "iteration 456, energy 308.92, thereof 113.99 regularization and 194.93 intensity difference\n", "iteration 457, energy 308.89, thereof 114.02 regularization and 194.86 intensity difference\n", "iteration 458, energy 308.85, thereof 114.05 regularization and 194.80 intensity difference\n", "iteration 459, energy 308.75, thereof 114.08 regularization and 194.67 intensity difference\n", "iteration 460, energy 308.71, thereof 114.11 regularization and 194.60 intensity difference\n", "iteration 461, energy 308.68, thereof 114.14 regularization and 194.54 intensity difference\n", "iteration 462, energy 308.65, thereof 114.17 regularization and 194.48 intensity difference\n", "iteration 463, energy 308.62, thereof 114.20 regularization and 194.42 intensity difference\n", "iteration 464, energy 308.59, thereof 114.23 regularization and 194.36 intensity difference\n", "iteration 465, energy 308.56, thereof 114.26 regularization and 194.30 intensity difference\n", "iteration 466, energy 308.54, thereof 114.29 regularization and 194.25 intensity difference\n", "iteration 467, energy 308.52, thereof 114.32 regularization and 194.20 intensity difference\n", "iteration 468, energy 308.50, thereof 114.35 regularization and 194.15 intensity difference\n", "iteration 469, energy 308.40, thereof 114.38 regularization and 194.03 intensity difference\n", "iteration 470, energy 308.38, thereof 114.41 regularization and 193.98 intensity difference\n", "iteration 471, energy 308.36, thereof 114.44 regularization and 193.93 intensity difference\n", "iteration 472, energy 308.35, thereof 114.46 regularization and 193.88 intensity difference\n", "iteration 473, energy 308.33, thereof 114.49 regularization and 193.84 intensity difference\n", "iteration 474, energy 308.32, thereof 114.52 regularization and 193.79 intensity difference\n", "iteration 475, energy 308.30, thereof 114.55 regularization and 193.75 intensity difference\n", "iteration 476, energy 308.29, thereof 114.58 regularization and 193.71 intensity difference\n", "iteration 477, energy 308.28, thereof 114.61 regularization and 193.67 intensity difference\n", "iteration 478, energy 308.26, thereof 114.64 regularization and 193.63 intensity difference\n", "iteration 479, energy 308.19, thereof 114.67 regularization and 193.52 intensity difference\n", "iteration 480, energy 308.18, thereof 114.70 regularization and 193.48 intensity difference\n", "iteration 481, energy 308.17, thereof 114.72 regularization and 193.44 intensity difference\n", "iteration 482, energy 308.16, thereof 114.75 regularization and 193.41 intensity difference\n", "iteration 483, energy 308.15, thereof 114.78 regularization and 193.37 intensity difference\n", "iteration 484, energy 308.15, thereof 114.81 regularization and 193.34 intensity difference\n", "iteration 485, energy 308.14, thereof 114.84 regularization and 193.30 intensity difference\n", "iteration 486, energy 308.14, thereof 114.87 regularization and 193.27 intensity difference\n", "iteration 487, energy 308.14, thereof 114.90 regularization and 193.24 intensity difference\n", "iteration 488, energy 308.13, thereof 114.92 regularization and 193.21 intensity difference\n", "iteration 489, energy 308.06, thereof 114.95 regularization and 193.11 intensity difference\n", "iteration 490, energy 308.06, thereof 114.98 regularization and 193.08 intensity difference\n", "iteration 491, energy 308.06, thereof 115.01 regularization and 193.05 intensity difference\n", "iteration 492, energy 308.06, thereof 115.04 regularization and 193.03 intensity difference\n", "iteration 493, energy 308.07, thereof 115.06 regularization and 193.00 intensity difference\n", "iteration 494, energy 308.07, thereof 115.09 regularization and 192.98 intensity difference\n", "iteration 495, energy 308.07, thereof 115.12 regularization and 192.95 intensity difference\n", "iteration 496, energy 308.08, thereof 115.15 regularization and 192.93 intensity difference\n", "iteration 497, energy 308.08, thereof 115.18 regularization and 192.91 intensity difference\n", "iteration 498, energy 308.09, thereof 115.20 regularization and 192.88 intensity difference\n", "iteration 499, energy 308.02, thereof 115.23 regularization and 192.79 intensity difference\n" ] } ], "source": [ "lddmm = pyLDDMM.LDDMM2D()\n", "im, v, energies, length, Phi0, Phi1, J0, J1 = lddmm.register(\n", " i0, i1, sigma=0.1, alpha=1, epsilon=0.0001, K=500\n", ")" ] }, { "cell_type": "code", "execution_count": 25, "id": "51a90ecb-5134-4129-8b94-0ab120222dff", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot = plot_warpgrid(Phi0[-1], interval=1)" ] }, { "cell_type": "code", "execution_count": null, "id": "e4645a3f-0119-4979-af30-03cb04e3e8c9", "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": "3.11.3" } }, "nbformat": 4, "nbformat_minor": 5 }