{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Tutorial: ECT for CW complexes\n", "\n", "\n", "\n", " This tutorial walks you through how to build a CW complex with the `EmbeddedCW` class, and then use the `ECT` class to compute the Euler characteristic transform" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from ect import ECT, EmbeddedCW\n", "from ect.utils.examples import create_example_cw\n", "import numpy as np\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " The CW complex is the same as the `EmbeddedGraph` class with that additional ability to add faces. Faces are added by passing in a list of vertices. Note that we are generally assuming that these vertices follow around an empty region (as in, no other vertex is in the interior) in the graph bounded by the vertices, and further that all edges are already included in the graph. However the class does not yet check for this so you need to be careful!" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "K = EmbeddedCW()\n", "\n", "# Add vertices with coordinates\n", "K.add_node(\"A\", [0, 0])\n", "K.add_node(\"B\", [1, 0])\n", "K.add_node(\"C\", [1, 1])\n", "K.add_node(\"D\", [0, 1])\n", "\n", "# Add edges to form a square\n", "K.add_edges_from([(\"A\", \"B\"), (\"B\", \"C\"), (\"C\", \"D\"), (\"D\", \"A\")])\n", "\n", "# Add the square face\n", "K.add_face([\"A\", \"B\", \"C\", \"D\"])\n", "\n", "K.center_coordinates()\n", "K.plot()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " Just to have something a bit more interesting, let's make a more complicated example that's built into the class." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "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": [ "K = create_example_cw()\n", "K.plot(bounding_circle=True)\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " As with the `EmbeddedGraph` class, we can initialize the `ECT` class by deciding how many directions and how many thresholds to use." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "ect = ECT(num_dirs=100, num_thresh=80)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " Then we can compute the ECC for a single direction. In this case, the $x$-axis will be computed for the `num_thresh=80` stopping points in the interval $[-1.2r,1.2r]$ where $r$ is the minimum bounding radius for the input complex." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/lizliz/Library/CloudStorage/Dropbox/Math/Code/ect/src/ect/ect_graph.py:211: NumbaPerformanceWarning: \u001b[1m\u001b[1m\n", "The keyword argument 'parallel=True' was specified but no transformation for parallel execution was possible.\n", "\n", "To find out why, try turning on parallel diagnostics, see https://numba.readthedocs.io/en/stable/user/parallel.html#diagnostics for help.\n", "\u001b[1m\n", "File \"src/ect/ect_graph.py\", line 216:\u001b[0m\n", "\u001b[1m @njit(parallel=True, fastmath=True)\n", "\u001b[1m def shape_descriptor(simplex_counts_list):\n", "\u001b[0m \u001b[1m^\u001b[0m\u001b[0m\n", "\u001b[0m\u001b[0m\n", " result[i, j] = shape_descriptor(simplex_counts_list)\n", "OMP: Info #276: omp_set_nested routine deprecated, please use omp_set_max_active_levels instead.\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "override_bound_radius = 1.2 * K.get_bounding_radius()\n", "result = ect.calculate(K, theta=0, override_bound_radius=override_bound_radius)\n", "result.plot();\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " But of course it's easier to see this in a plot. This command calculates the ECC and immediately plots it." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " Similarly, we can compute the ECT and return the matrix. We make sure to internally set the bounding radius to use to control the $y$ axis of the plot." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "result = ect.calculate(K, override_bound_radius=override_bound_radius)\n", "result.plot()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " We can also look at the Smooth ECT:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Calculate SECT and plot\n", "smooth = result.smooth()\n", "smooth.plot()\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " We can also compute the ECT in 3D." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "\n", "vertices = [\n", " (letter, coordinates) for letter, coordinates in zip(\"abcde\", np.random.randn(5, 3))\n", "]\n", "edges = [(\"a\", \"b\"), (\"a\", \"c\"), (\"a\", \"d\"), (\"b\", \"c\"), (\"b\", \"d\"), (\"c\", \"d\")]\n", "faces = [\n", " (\"a\", \"b\", \"c\"),\n", " (\"a\", \"b\", \"d\"),\n", " (\"a\", \"c\", \"d\"),\n", " (\"b\", \"c\", \"d\"),\n", " (\"a\", \"b\", \"c\", \"d\"),\n", "]\n", "K = EmbeddedCW()\n", "K.add_nodes_from(vertices)\n", "K.add_edges_from(edges)\n", "\n", "K.add_faces_from(faces)\n", "K.plot(bounding_circle=True)\n", "\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ect = ECT(num_dirs=100, num_thresh=80)\n", "result = ect.calculate(K)\n", "result.plot()\n" ] } ], "metadata": { "kernelspec": { "display_name": "base", "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": "3.11.7" } }, "nbformat": 4, "nbformat_minor": 2 }