{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Implement your own Riemannian Geometry" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lead author: Nina Miolane.\n", "\n", "Geomstats provides several Riemannian manifolds in its `geometry` folder. Yet, the manifold that you are interested in might not be available there.\n", "\n", "This notebook shows how to use Riemannian geometry on any manifold defined by an immersion into a Euclidean space, such as high-dimensional surfaces immersed in a Euclidean space. \n", "\n", "Specifically, we focus on the case of an embedded manifold $M$ that can be defined by a map \n", "$f: M \\rightarrow \\mathbb{R}^n$ \n", "called the immersion, whose differential $df_x$ is injective for all $x \\in M$.\n", "\n", "This immersion allows to define the pull-back metric $g$ on $M$, as:\n", "\n", "$$g : T_xM \\times T_x M \\rightarrow \\mathbb{R}\\\\\n", "u, v \\rightarrow $$\n", "\n", "where $<,>$ represents the Euclidean inner-product of the embedding space. \n", "\n", "The pull-back metric gives a structure of Riemannian manifold to $M$. In particular, we can compute the Riemannian exp and log maps, the Riemannian distance, the Riemannian parallel transport, etc.\n", "\n", "This notebook illustrates the computation of the pull-back metric, using the class `PullbackMetric` from geomstats, on two embedded manifolds:\n", "\n", "- the 2-sphere $S^2$ embedded in $\\mathbb{R}^3$,\n", "\n", "- a surface defined by: $x, y \\rightarrow z = x^2 + y^2$ embedded in $\\mathbb{R}^3$.\n", "\n", "We also illustrate the use of the class`PullbackDiffeoMetric` to compute the pull-back metric induced via a diffeomorphism, on a function that warps the plane $\\mathbb{R}^2$" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO: Using autograd backend\n" ] } ], "source": [ "import time\n", "import matplotlib.pyplot as plt\n", "\n", "import geomstats.backend as gs\n", "\n", "from geomstats.geometry.base import ImmersedSet\n", "from geomstats.geometry.pullback_metric import (\n", " PullbackMetric,\n", " PullbackDiffeoMetric,\n", ")\n", "from geomstats.geometry.diffeo import Diffeo\n", "from geomstats.geometry.euclidean import Euclidean\n", "from geomstats.geometry.hypersphere import Hypersphere\n", "from geomstats.geometry.special_orthogonal import SpecialOrthogonal\n", "\n", "import geomstats.visualization as viz" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Immersed manifolds: the example of the 2-sphere" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We first consider the simple example of the 2-sphere. We define the immersion of the 2-sphere $S^2$ into the Euclidean space $\\mathbb{R}^3$ as follows:\n", "$$\n", "\\begin{align}\n", "f : S^2 &\\rightarrow \\mathbb{R}^3\\\\\n", "(\\theta, \\phi) &\\mapsto (\\cos\\phi.\\sin\\theta, \\sin\\phi.\\sin\\theta, \\cos\\theta)\n", "\\end{align}\n", "$$" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "class SphereIntrinsic(ImmersedSet):\n", " def __init__(self, equip=True):\n", " super().__init__(dim=2, equip=equip)\n", "\n", " def immersion(self, point):\n", " theta = point[..., 0]\n", " phi = point[..., 1]\n", " return gs.stack(\n", " [\n", " gs.cos(phi) * gs.sin(theta),\n", " gs.sin(phi) * gs.sin(theta),\n", " gs.cos(theta),\n", " ],\n", " axis=-1,\n", " )\n", "\n", " def _define_embedding_space(self):\n", " return Euclidean(dim=self.dim + 1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For the purpose of visualizing the results in the embedding space $\\mathbb{R}^{3}$, we will need the jacobian of the immersion. Notice that `ImmersedSet` already takes care of it if we want to rely on automatic differentiation." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use the `PullbackMetric` structure to define the Riemannian metric on $S^2$ from the immersion. \n", "\n", "Note that the Riemannian metric on the sphere is already implemented in Geomstats using closed forms with the class `Hypersphere`. However, this notebook showcases how we can recover the computations of Riemanian geometry by only relying on the immersion." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "<__main__.SphereIntrinsic at 0x7fae463de390>" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sphere = SphereIntrinsic(equip=False)\n", "\n", "sphere.equip_with_metric(PullbackMetric)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we can access the methods from any Riemannian metric, i.e. the Riemannian exp and log maps, the parallel transport, etc." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We first show the computation of the Riemannian exp map of a tangent vector at a point." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 1.57079633 -0.52359878]\n" ] } ], "source": [ "point_a = gs.array([gs.pi / 2.0, -gs.pi / 2.0])\n", "tangent_vec = gs.array([0.0, gs.pi / 3.0])\n", "\n", "end_point = sphere.metric.exp(tangent_vec=tangent_vec, base_point=point_a)\n", "print(end_point)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And visualize the result of the Riemannian exp map in the embedding space $\\mathbb{R}^3$:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "\n", "# We immerse the points and the tangent vector in R^3\n", "\n", "immersed_point_a = sphere.immersion(point_a)\n", "immersed_tangent_vec = sphere.tangent_immersion(tangent_vec, point_a)\n", "immersed_end_point = sphere.immersion(end_point)\n", "\n", "# We plot our results\n", "\n", "fig = plt.figure(figsize=(8, 8))\n", "ax = fig.add_subplot(111, projection=\"3d\")\n", "\n", "viz.plot(immersed_point_a, ax=ax, space=\"S2\", label=\"Initial point\", s=80)\n", "\n", "arrow = viz.Arrow3D(immersed_point_a, vector=immersed_tangent_vec)\n", "arrow.draw(ax, color=\"black\", label=\"Tangent vector\")\n", "\n", "viz.plot(immersed_end_point, ax=ax, space=\"S2\", label=\"End point\", s=80)\n", "\n", "ax.set_title(\"Riemannian Exp map on the sphere\")\n", "ax.legend()\n", "ax.grid(False)\n", "plt.axis(\"off\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we show the computation of the parallel transport on the sphere. Note that `step`, `n_steps`, `tol` and `alpha` are integration parameters that control the efficiency-accuracy tradeoff of the computation." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Computing time for parallel transport: 0.14 secs\n" ] }, { "data": { "text/plain": [ "{'transported_tangent_vec': array([0.78539816, 1.04719755]),\n", " 'end_point': array([ 1.57079633, -0.52359878]),\n", " 'trajectory': [[]]}" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "point_a = gs.array([gs.pi / 2.0, -gs.pi / 2.0])\n", "tangent_vec = gs.array([0.0, gs.pi / 3.0])\n", "tangent_vec_to_transport = gs.array([gs.pi / 4.0, gs.pi / 3.0])\n", "\n", "time_start = time.perf_counter()\n", "\n", "\n", "sphere.metric.exp_solver.integrator.step = \"euler\"\n", "sphere.metric.exp_solver.integrator.n_steps = 1\n", "sphere.metric.log_solver.optimizer.tol = 1e-6\n", "\n", "parallel_transport = sphere.metric.ladder_parallel_transport(\n", " tangent_vec=tangent_vec_to_transport,\n", " direction=tangent_vec,\n", " base_point=point_a,\n", " alpha=1,\n", ")\n", "\n", "time_elapsed = time.perf_counter() - time_start\n", "print(f\"Computing time for parallel transport: {time_elapsed:5.2f} secs\")\n", "\n", "display(parallel_transport)\n", "\n", "transported_tangent_vec = parallel_transport[\"transported_tangent_vec\"]\n", "end_point = parallel_transport[\"end_point\"]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We visualize the result of the parallel transport in the embedding space $\\mathbb{R}^3$:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "is_tangent = True\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "\n", "# We first immerse the points and tangent vectors into the embedding space R^3\n", "\n", "immersed_point_a = sphere.immersion(point_a)\n", "immersed_end_point = sphere.immersion(end_point)\n", "\n", "immersed_tangent_vec = sphere.tangent_immersion(tangent_vec, point_a)\n", "immersed_tangent_vec_to_transport = sphere.tangent_immersion(\n", " tangent_vec_to_transport, point_a\n", ")\n", "immersed_transported_tangent_vec = sphere.tangent_immersion(\n", " transported_tangent_vec, end_point\n", ")\n", "\n", "# We verify manually that the immersed tangent vector is actually tangent to the sphere\n", "# as the plot can be sometimes misleading. We use the method of the Hypersphere class.\n", "\n", "sphere = Hypersphere(dim=2)\n", "is_tangent = sphere.is_tangent(\n", " immersed_transported_tangent_vec, base_point=immersed_end_point\n", ")\n", "print(\"is_tangent = \", is_tangent)\n", "\n", "# We plot the results\n", "\n", "fig = plt.figure(figsize=(8, 8))\n", "ax = fig.add_subplot(111, projection=\"3d\")\n", "\n", "viz.plot(immersed_point_a, ax=ax, space=\"S2\", label=\"Initial point\", s=80)\n", "\n", "arrow = viz.Arrow3D(immersed_point_a, vector=immersed_tangent_vec)\n", "arrow.draw(ax, color=\"black\", label=\"Tangent vector\")\n", "\n", "arrow = viz.Arrow3D(immersed_point_a, vector=immersed_tangent_vec_to_transport)\n", "arrow.draw(ax, color=\"red\", label=\"Tangent vector to transport\")\n", "\n", "viz.plot(immersed_end_point, ax=ax, space=\"S2\", label=\"End point\", s=80)\n", "\n", "arrow = viz.Arrow3D(immersed_end_point, vector=immersed_transported_tangent_vec)\n", "arrow.draw(ax, color=\"orange\", label=\"Transported tangent vector\")\n", "\n", "ax.set_title(\"Riemannian parallel transport on the sphere\")\n", "ax.legend()\n", "ax.grid(False)\n", "plt.axis(\"off\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Immersed manifolds: the example of a surface defined by its graph" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We consider the example of a 2D surface immersed in $\\mathbb{R}^3$. The surface is defined by its graph:\n", "\n", "$$ x, y \\rightarrow z = x^2 + y^2$$\n", "\n", "which leads to the following immersion into $\\mathbb{R}^3$:\n", "$$\n", "\\begin{align}\n", "f : S^2 &\\rightarrow \\mathbb{R}^3\\\\\n", "(x, y) &\\mapsto (x, y, x^2 + y^2)\n", "\\end{align}\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We first implement the graph and the immersion:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "class Surface(ImmersedSet):\n", " def __init__(self, equip=True):\n", " super().__init__(dim=2, equip=equip)\n", "\n", " def _define_embedding_space(self):\n", " return Euclidean(dim=self.dim + 1)\n", "\n", " def graph(self, x, y):\n", " return x**2 + y**2\n", "\n", " def immersion(self, point):\n", " x = point[..., 0]\n", " y = point[..., 1]\n", " return gs.transpose(gs.array([x, y, self.graph(x, y)]))" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "surface = Surface(equip=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For the purpose of visualizing the results in the embedding space ℝ3 , we will need the jacobian of the immersion, which we compute here. Notice that `ImmersedSet` already takes care of it if we want to rely on automatic differentiation." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We also add a utility function to visualization the surface in 3D:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "\n", "\n", "def plot_surface(surface, alpha=1.0, ax=None):\n", " if ax is None:\n", " fig = plt.figure()\n", " ax = fig.add_subplot(111, projection=\"3d\")\n", "\n", " x = y = gs.arange(-3.0, 3.0, 0.1)\n", " X, Y = gs.meshgrid(x, y)\n", " zs = gs.array(surface.graph(gs.flatten(X), gs.flatten(Y)))\n", " Z = gs.reshape(zs, X.shape)\n", "\n", " ax.plot_surface(gs.to_numpy(X), gs.to_numpy(Y), gs.to_numpy(Z), alpha=alpha)\n", "\n", " ax.set_xlabel(\"X\")\n", " ax.set_ylabel(\"Y\")\n", " ax.set_zlabel(\"Zm\")\n", " return ax\n", "\n", "\n", "ax = plot_surface(surface)\n", "ax.grid(False)\n", "plt.axis(\"off\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use the `PullbackMetric` structure to define the Riemannian metric on the surface from the immersion. " ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "<__main__.Surface at 0x7fae442f7190>" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "surface.equip_with_metric(PullbackMetric)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we can access the methods from any Riemannian metric, i.e. the Riemannian exp and log maps, the parallel transport, etc." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We show the computation of the Riemannian exp map:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[-1.82332926 -0.85879156]\n" ] } ], "source": [ "point_a = gs.array([-2.0, -2.0])\n", "tangent_vec = gs.array([0.0, 1.0])\n", "\n", "end_point = surface.metric.exp(tangent_vec=tangent_vec, base_point=point_a)\n", "print(end_point)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And visualize the result:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "\n", "# We first immerse the points and tangent vector into the embedding space R^3\n", "\n", "immersed_point_a = surface.immersion(point_a)\n", "immersed_tangent_vec = surface.tangent_immersion(tangent_vec, point_a)\n", "immersed_end_point = surface.immersion(end_point)\n", "\n", "two_points = gs.vstack([immersed_point_a, immersed_end_point])\n", "\n", "# We plot the results\n", "\n", "ax = plot_surface(surface, alpha=0.3)\n", "\n", "ax.plot(\n", " immersed_point_a[0],\n", " immersed_point_a[1],\n", " immersed_point_a[2],\n", " label=\"Initial point\",\n", " marker=\"o\",\n", " linestyle=\"None\",\n", ")\n", "\n", "arrow = viz.Arrow3D(immersed_point_a, vector=immersed_tangent_vec)\n", "arrow.draw(ax, color=\"black\", label=\"Tangent vector\")\n", "\n", "ax.plot(\n", " immersed_end_point[0],\n", " immersed_end_point[1],\n", " immersed_end_point[2],\n", " label=\"End point\",\n", " marker=\"o\",\n", " linestyle=\"None\",\n", ")\n", "\n", "ax.set_title(\"Riemannian exponential map on a surface\")\n", "ax.legend()\n", "ax.grid(False)\n", "plt.axis(\"off\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we show the computation of the parallel transport on the surface. Again, note that `step`, `n_steps`, `tol` and `alpha` are integration parameters that control the efficiency-accuracy tradeoff of the computation." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Computing time for parallel transport: 5.83 secs\n" ] }, { "data": { "text/plain": [ "{'transported_tangent_vec': array([-0.39054548, 0.74638966]),\n", " 'end_point': array([-1.83662524, -0.86671498]),\n", " 'trajectory': [[]]}" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "point_a = gs.array([-2.0, -2.0])\n", "tangent_vec = gs.array([0.0, 1.0])\n", "tangent_vec_to_transport = gs.array([-0.6, 0.6])\n", "\n", "time_start = time.perf_counter()\n", "\n", "surface.metric.exp_solver.integrator.step = \"rk4\"\n", "surface.metric.exp_solver.integrator.n_steps = 20\n", "surface.metric.log_solver.optimizer.tol = 1e-14\n", "\n", "parallel_transport = surface.metric.ladder_parallel_transport(\n", " tangent_vec=tangent_vec_to_transport,\n", " direction=tangent_vec,\n", " base_point=point_a,\n", " alpha=2,\n", ")\n", "time_elapsed = time.perf_counter() - time_start\n", "print(f\"Computing time for parallel transport: {time_elapsed:5.2f} secs\")\n", "\n", "display(parallel_transport)\n", "\n", "transported_tangent_vec = parallel_transport[\"transported_tangent_vec\"]\n", "end_point = parallel_transport[\"end_point\"]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We visualize the result of the parallel transport." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "tags": [ "nbsphinx-thumbnail" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "\n", "# We first immerse the points and tangent vectors into the embedding space R^3\n", "\n", "immersed_point_a = surface.immersion(point_a)\n", "immersed_tangent_vec = surface.tangent_immersion(tangent_vec, point_a)\n", "immersed_tangent_vec_to_transport = surface.tangent_immersion(\n", " tangent_vec_to_transport, point_a\n", ")\n", "immersed_end_point = surface.immersion(end_point)\n", "immersed_transported_tangent_vec = surface.tangent_immersion(\n", " transported_tangent_vec, end_point\n", ")\n", "\n", "# We plot the results\n", "\n", "ax = plot_surface(surface, alpha=0.3)\n", "\n", "ax.plot(\n", " immersed_point_a[0],\n", " immersed_point_a[1],\n", " immersed_point_a[2],\n", " label=\"Initial point\",\n", " marker=\"o\",\n", " color=\"orange\",\n", ")\n", "\n", "arrow = viz.Arrow3D(immersed_point_a, vector=immersed_tangent_vec_to_transport)\n", "arrow.draw(ax, color=\"orange\", label=\"Tangent vector to transport\")\n", "\n", "arrow = viz.Arrow3D(immersed_point_a, vector=immersed_tangent_vec)\n", "arrow.draw(ax, color=\"black\", label=\"Tangent vector\")\n", "\n", "ax.plot(\n", " immersed_end_point[0],\n", " immersed_end_point[1],\n", " immersed_end_point[2],\n", " label=\"End point\",\n", " marker=\"o\",\n", " color=\"green\",\n", ")\n", "\n", "\n", "arrow = viz.Arrow3D(immersed_end_point, vector=immersed_transported_tangent_vec)\n", "arrow.draw(ax, color=\"green\", label=\"Transported tangent vector\")\n", "\n", "ax.set_title(\"Riemannian parallel transport on a surface\")\n", "ax.legend()\n", "ax.grid(False)\n", "plt.axis(\"off\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Pullback via diffeomorphism: Warping of the plane $\\mathbb{R}^2$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We consider the example of a diffeomorphism that warps the plane $\\mathbb{R}^2$. \n", "\n", "The warp is given by \n", "$$\n", "\\begin{align}\n", "\\varphi : \\mathbb{R}^2 &\\to \\mathbb{R}^2 \\\\\n", "\\vec{x} &\\mapsto \\vec{u} = \\tanh(R_\\theta\\cdot \\vec{x})\n", "\\end{align}\n", "$$\n", "\n", "where $\\theta$ is the angle by which grid lines near the origin are rotated and $\\tanh(\\cdot)$ is applied element-wise" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The inverse diffeomorphism $\\varphi^{-1}$ is given by \n", "$$\n", "\\begin{align}\n", "\\varphi^{-1} : \\mathbb{R}^2 &\\to \\mathbb{R}^2 \\\\\n", "\\vec{u} &\\mapsto \\vec{x} = R_{\\theta}^{-1}\\cdot \\tanh^{-1}(\\vec{u})\n", "\\end{align}\n", "$$" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "class Warp(Diffeo):\n", " \"\"\"Warp diffeomoprhism.\n", "\n", " A diffeomorphism from R^2 to R^2.\n", " \"\"\"\n", "\n", " def __init__(self, angle=15):\n", " self.rot_mat = SpecialOrthogonal(2).matrix_from_rotation_vector(\n", " gs.array([angle * gs.pi / 180])\n", " )\n", " self.inv_rot_mat = SpecialOrthogonal(2).matrix_from_rotation_vector(\n", " gs.array([-angle * gs.pi / 180])\n", " )\n", "\n", " def diffeomorphism(self, base_point):\n", " transformed_point = gs.einsum(\"ij,j...->i...\", self.rot_mat, base_point)\n", " return gs.tanh(transformed_point)\n", "\n", " def inverse_warp(self, image_point):\n", " transformed_point = gs.einsum(\"...i\", image_point)\n", " point = gs.arctanh(transformed_point)\n", " return gs.einsum(\"ij,j...->i...\", self.inv_rot_mat, point)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Set the angle to $\\theta = 15^{\\circ}$" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "diffeo = Warp(angle=15)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We visualize the warping of the plane:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def plot_grid_warped(grid_warped, color, interval=1, show_axis=False):\n", " \"\"\"Plot the given warped grid.\n", "\n", " This function plots a given warp grid with the specified color and interval between grid lines.\n", " It also provides the option to include or exclude axes in the plot.\n", "\n", " Parameters\n", " ----------\n", " grid_warped : array-like, shape = [width, height, 2]\n", " A W x H x 2 dimensional array representing the transformation grid.\n", " color : str\n", " A string indicating the color to be used for plotting the grid lines.\n", " interval : int, optional\n", " The interval between grid lines, default is 1.\n", " show_axis : bool, optional\n", " Whether or not to include axes in the plot, default is False.\n", "\n", " Returns\n", " -------\n", " ax : matplotlib.axes.Axes\n", " The Axes object with the plot drawn onto it.\n", " \"\"\"\n", "\n", " if show_axis is False:\n", " plt.axis(\"off\")\n", " ax = plt.gca()\n", " ax.invert_yaxis()\n", " ax.set_aspect(\"equal\")\n", "\n", " for x in range(0, grid_warped.shape[0], interval):\n", " plt.plot(grid_warped[x, :, 0], grid_warped[x, :, 1], c=color)\n", " for y in range(0, grid_warped.shape[1], interval):\n", " plt.plot(grid_warped[:, y, 0], grid_warped[:, y, 1], c=color)\n", " return ax\n", "\n", "\n", "x = gs.linspace(-4, 4, 100)\n", "y = gs.linspace(-4, 4, 100)\n", "x_grid, y_grid = gs.meshgrid(x, y)\n", "grid = gs.stack((x_grid, y_grid), axis=-1)\n", "x_grid_warped, y_grid_warped = diffeo.diffeomorphism((x_grid, y_grid))\n", "\n", "\n", "grid_warped = gs.stack((x_grid_warped, y_grid_warped), axis=-1)\n", "\n", "fig = plt.figure(figsize=(12, 12))\n", "ax_template = fig.add_subplot(121)\n", "ax_template = plot_grid_warped(grid, \"darkblue\", show_axis=True)\n", "ax_warped = fig.add_subplot(122)\n", "\n", "ax_warped = plot_grid_warped(grid_warped, \"red\", show_axis=True)\n", "\n", "# Set x and y limits\n", "ax_template.set_xlim((-1, 1))\n", "ax_template.set_ylim((-1, 1))\n", "\n", "ax_warped.set_xlim((-1, 1))\n", "ax_warped.set_ylim((-1, 1))\n", "\n", "# Ensure that the aspect ratio is the same\n", "# 'equal' means that one unit on the x-axis is equal to one unit on the y-axis\n", "ax_template.set_aspect(\"equal\", adjustable=\"box\")\n", "ax_warped.set_aspect(\"equal\", adjustable=\"box\")\n", "\n", "ax_template.set_title(\"Template\")\n", "ax_warped.set_title(\"Warped\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use the pullback metric to compute the distance between the origin and $(1,1)$" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "class PlaneWarpMetric(PullbackDiffeoMetric):\n", " def __init__(self, space, angle=15):\n", " diffeo = Warp(angle=angle)\n", " super().__init__(space=space, image_space=Euclidean(dim=2), diffeo=diffeo)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "space = Euclidean(dim=2, equip=False)\n", "\n", "space.equip_with_metric(\n", " PlaneWarpMetric,\n", " angle=15,\n", ")" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.3811819105129122\n" ] } ], "source": [ "point_a = gs.array([0.0, 0.0])\n", "point_b = gs.array([3.0, 4.0])\n", "distance = space.metric.dist(point_a, point_b)\n", "print(distance)" ] } ], "metadata": { "backends": [ "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": "3.11.3" } }, "nbformat": 4, "nbformat_minor": 4 }