{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Tutorial: From vector spaces to manifolds" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Set up" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before starting this tutorial, we set the working directory to be the root of the geomstats repository. In order to have the code working on your machine, you need to change this path to the path of your geomstats repository." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Working directory: /code/geomstats\n" ] } ], "source": [ "import os\n", "import subprocess\n", "\n", "geomstats_gitroot_path = subprocess.check_output(\n", " ['git', 'rev-parse', '--show-toplevel'], \n", " universal_newlines=True)\n", "\n", "os.chdir(geomstats_gitroot_path[:-1])\n", "\n", "print('Working directory: ', os.getcwd())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We import the backend that will be used for geomstats computations and set a seed for reproducibility of the results." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO: Using numpy backend\n" ] } ], "source": [ "import geomstats.backend as gs\n", "\n", "gs.random.seed(2020)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we import the visualization module." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import matplotlib\n", "import matplotlib.image as mpimg\n", "import matplotlib.pyplot as plt\n", "\n", "import geomstats.visualization as visualization\n", "\n", "visualization.tutorial_matplotlib()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## From vector spaces to manifolds" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the previous tutorial, we visualized data that naturally belong to manifolds, i.e. generalizations of vector spaces that are allowed to have curvature. \n", "\n", "A simple example of such data is the coordinates of cities on the surface of the earth: they belong to a sphere, which is a manifold." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "scrolled": false }, "outputs": [ { "data": { 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import geomstats.datasets.utils as data_utils\n", "\n", "data, names = data_utils.load_cities()\n", "\n", "fig = plt.figure(figsize=(10, 10))\n", "ax = fig.add_subplot(111, projection='3d')\n", "\n", "visualization.plot(data[15:20], ax=ax, space='S2', label=names[15:20], s=80, alpha=0.5)\n", "\n", "ax.set_title('Cities on the earth.');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The purpose of this tutorial is to show how we can perform elementary computations on such data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## From addition to exponential map " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The elementary operations on a vector space are: addition, substraction and multiplication by a scalar. We can add a vector to a point, substract two points to get a vector, or multiply a vector by a scalar value." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "\n", "fig = plt.figure(figsize=(6, 6))\n", "ax = fig.add_subplot(111)\n", "\n", "point_a = gs.array([0, 1])\n", "point_b = gs.array([1, 2])\n", "vector = point_b - point_a\n", "\n", "ax.scatter(point_a, point_b, label='Points')\n", "ax.arrow(gs.to_numpy(point_a[0]), gs.to_numpy(point_a[1]), \n", " dx=gs.to_numpy(vector[0]), dy=gs.to_numpy(vector[1]), \n", " width=0.008, length_includes_head=True, color='black')\n", "\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For points on a manifold, like the sphere, the same operations are not permitted. Indeed, adding a vector to a point will not give a point that belongs to the manifold." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(10, 10))\n", "ax = fig.add_subplot(111, projection='3d')\n", "\n", "paris = data[19]\n", "vector = gs.array([1, 0, 0.8])\n", "\n", "ax = visualization.plot(paris, ax=ax, space='S2', s=200, alpha=0.8, label='Paris')\n", "\n", "arrow = visualization.Arrow3D(paris, vector=vector)\n", "arrow.draw(ax, color='black')\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The exponential map is the operation that generalizes the addition of a vector to a point, on manifolds. \n", "\n", "The exponential map takes a point and a tangent vector as inputs, and outputs the point on the manifold that is reached by \"shooting\" with the tangent vector. \"Shooting\" means taking the path of shortest length. This path is called a \"geodesic\"." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "from geomstats.geometry.hypersphere import Hypersphere\n", "\n", "sphere = Hypersphere(dim=2)\n", "\n", "paris = data[19]\n", "vector = gs.array([1, 0, 0.8])\n", "tangent_vector = sphere.to_tangent(vector, base_point=paris)\n", "\n", "result = sphere.metric.exp(tangent_vector, base_point=paris)\n", "\n", "geodesic = sphere.metric.geodesic(\n", " initial_point=paris,\n", " initial_tangent_vec=tangent_vector)\n", "\n", "points_on_geodesic = geodesic(gs.linspace(0., 1., 30))" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(10, 10))\n", "ax = fig.add_subplot(111, projection='3d')\n", "\n", "\n", "ax = visualization.plot(paris, ax=ax, space='S2', s=100, alpha=0.8, label='Paris')\n", "ax = visualization.plot(result, ax=ax, space='S2', s=100, alpha=0.8, label='End point')\n", "ax = visualization.plot(\n", " points_on_geodesic, ax=ax, space='S2', color='black', label='Geodesic')\n", "\n", "arrow = visualization.Arrow3D(paris, vector=tangent_vector)\n", "arrow.draw(ax, color='black')\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## From substraction to logarithm map" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The logarithm map is the operation that generalizes the substraction of two points, that gives a vector.\n", "\n", "The logarithm map takes two points on the manifold as inputs, and outputs the tangent vector that is required to \"shoot\" from one point to the other." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "paris = data[19]\n", "beijing = data[15]\n", "\n", "log = sphere.metric.log(point=beijing, base_point=paris)\n", "\n", "geodesic = sphere.metric.geodesic(\n", " initial_point=paris,\n", " end_point=beijing)\n", "\n", "points_on_geodesic = geodesic(gs.linspace(0., 1., 30))" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(10, 10))\n", "ax = fig.add_subplot(111, projection='3d')\n", "\n", "ax = visualization.plot(paris, ax=ax, space='S2', s=100, alpha=0.8, label='Paris')\n", "ax = visualization.plot(beijing, ax=ax, space='S2', s=100, alpha=0.8, label='Beijing')\n", "ax = visualization.plot(\n", " points_on_geodesic, ax=ax, space='S2', color='black', label='Geodesic')\n", "\n", "arrow = visualization.Arrow3D(paris, vector=log)\n", "arrow.draw(ax, color='black')\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Geodesics" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So far, we have given examples of geodesics on the sphere. The sphere is a simple manifold that is easy to visualize. Yet, `geomstats` provides many more manifolds, on which the exp and log are defined. Let's present a few more." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Geodesics on the hyperbolic plane" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We consider the hyperbolic geometry here. We define two points on the hyperbolic plane and compute the geodesic between them." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "from geomstats.geometry.hyperboloid import Hyperboloid\n", "\n", "hyperbolic = Hyperboloid(dim=2, coords_type='extrinsic')\n", "\n", "initial_point = gs.array([gs.sqrt(2.), 1., 0.])\n", "end_point = gs.array([2.5, 2.5])\n", "end_point = hyperbolic.from_coordinates(end_point, 'intrinsic')\n", "\n", "geodesic = hyperbolic.metric.geodesic(\n", " initial_point=initial_point, end_point=end_point)\n", "\n", "points = geodesic(gs.linspace(0., 1., 10))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use the visualization module to plot the two points and the geodesic between them. We can choose the visualization we prefer for points on the hyperbolic plane. First we visualize with the Poincare disk representation." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(8, 8))\n", "ax = fig.add_subplot(111)\n", "\n", "representation = 'H2_poincare_disk'\n", "\n", "ax = visualization.plot(\n", " initial_point, ax=ax, space=representation, s=50, label='Initial point');\n", "ax = visualization.plot(\n", " end_point, ax=ax, space=representation, s=50, label='End point');\n", "\n", "ax = visualization.plot(\n", " points[1:-1], ax=ax, space=representation, s=5, color='black', label='Geodesic');\n", "ax.set_title('Geodesic on the hyperbolic plane in Poincare disk representation')\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can visualize the same geodesic in Klein disk representation." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(8, 8))\n", "ax = fig.add_subplot(111)\n", "\n", "representation = 'H2_klein_disk'\n", "\n", "ax = visualization.plot(\n", " initial_point, ax=ax, space=representation, s=50, label='Initial point');\n", "ax = visualization.plot(\n", " end_point, ax=ax, space=representation, s=50, label='End point');\n", "\n", "ax = visualization.plot(\n", " points[1:-1], ax=ax, space=representation, s=5, color='black', label='Geodesic');\n", "ax.set_title('Geodesic on the hyperbolic plane in Klein disk representation')\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Geodesics on the special euclidean group SE(3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We consider the special euclidean group in 3D, which is the group of 3D rotations and 3D translations. One element of this group can be represented by a frame, oriented by the 3D rotation, and located by the 3D translation from the origin. \n", "\n", "We create two points in SE(3), and compute the geodesic between them." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "from geomstats.geometry.special_euclidean import SpecialEuclidean\n", "\n", "se3 = SpecialEuclidean(n=3, point_type='vector')\n", "metric = se3.left_canonical_metric\n", "\n", "initial_point = se3.identity\n", "initial_tangent_vec = gs.array([1.8, 0.2, 0.3, 3., 3., 1.])\n", "geodesic = metric.geodesic(\n", " initial_point=initial_point,\n", " initial_tangent_vec=initial_tangent_vec)\n", "\n", "points = geodesic(gs.linspace(-3., 3., 40))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We visualize the geodesic in the group SE(3), which is a path of frames in 3D." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(8, 8))\n", "ax = fig.add_subplot(111, projection='3d')\n", "\n", "visualization.plot(points, ax=ax, space='SE3_GROUP');" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.7.7" } }, "nbformat": 4, "nbformat_minor": 4 }