{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Continuous Linear Optimal Transport Transform (CLOT)\n", "\n", "This tutorial will demonstrate: how to use the forward and inverse operations of the CLOT in the the *PyTransKit* package." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Class:: CLOT\n", "\n", " Continuous Linear Optimal Transport Transform.\n", "\n", " Parameters\n", " ----------\n", " lr : float (default=0.01)\n", " Learning rate.\n", " momentum : float (default=0.)\n", " Nesterov accelerated gradient descent momentum.\n", " decay : float (default=0.)\n", " Learning rate decay over each update.\n", " max_iter : int (default=300)\n", " Maximum number of iterations.\n", " tol : float (default=0.001)\n", " Stop iterating when change in cost function is below this threshold.\n", " verbose : int (default=1)\n", " Verbosity during optimization. 0=no output, 1=print cost,\n", " 2=print all metrics.\n", "\n", " Attributes\n", " -----------\n", " displacements_ : array, shape (2, height, width)\n", " Displacements u. First index denotes direction: displacements_[0] is\n", " y-displacements, and displacements_[1] is x-displacements.\n", " transport_map_ : array, shape (2, height, width)\n", " Transport map f. First index denotes direction: transport_map_[0] is\n", " y-map, and transport_map_[1] is x-map.\n", " displacements_initial_ : array, shape (2, height, width)\n", " Initial displacements computed using the method by Haker et al.\n", " transport_map_initial_ : array, shape (2, height, width)\n", " Initial transport map computed using the method by Haker et al.\n", " cost_ : list of float\n", " Value of cost function at each iteration.\n", " curl_ : list of float\n", " Curl at each iteration.\n", "\n", " References\n", " ----------\n", " [A continuous linear optimal transport approach for pattern analysis in\n", " image datasets]\n", " (https://www.sciencedirect.com/science/article/pii/S0031320315003507)\n", " [Optimal mass transport for registration and warping]\n", " (https://link.springer.com/article/10.1023/B:VISI.0000036836.66311.97)\n", "\n", "Functions:\n", "-------------- \n", "1. Forward transform:\n", " lot = forward(sig0, sig1)\n", " \n", " Inputs:\n", " ----------------\n", " sig0 : array, shape (height, width)\n", " Reference image.\n", " sig1 : array, shape (height, width)\n", " Signal to transform.\n", " \n", " Outputs:\n", " ----------------\n", " lot : array, shape (2, height, width)\n", " LOT transform of input image sig1. First index denotes direction:\n", " lot[0] is y-LOT, and lot[1] is x-LOT.\n", "\n", "2. Apply forward transport map:\n", " sig0_recon = apply_forward_map(transport_map, sig1)\n", " \n", " Inputs:\n", " ----------------\n", " transport_map : array, shape (2, height, width)\n", " Forward transport map.\n", " sig1 : array, shape (height, width)\n", " Signal to transform.\n", " \n", " Outputs:\n", " ----------------\n", " sig0_recon : array, shape (height, width)\n", " Reconstructed reference signal sig0.\n", " \n", "3. Apply inverse transport map:\n", " sig1_recon = inverse(transport_map, sig0)\n", " \n", " Inputs:\n", " ----------------\n", " transport_map : array, shape (2, height, width)\n", " Forward transport map. Inverse is computed in this function.\n", " sig0 : array, shape (height, width)\n", " Reference signal.\n", " \n", " Outputs:\n", " ----------------\n", " sig1_recon : array, shape (height, width)\n", " Reconstructed signal sig1.\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Definition\n", "The Continuous Linear Optimal Transport (CLOT) transform $\\widehat s$ of a density function $s(\\mathbf x)$ is defined as the optimal transport map from a reference density $s_0(\\mathbf x)$ to $s(\\mathbf x)$. Specifically, let $s_0(\\mathbf x), s(\\mathbf x)$ be positive functions defined on domains $\\Omega_{s_0}, \\Omega_{s}\\subseteq \\mathbb R^d$ respectively and such that $$\\int_{\\Omega_{s_0}}s_0(\\mathbf x) d\\mathbf x = \\int_{\\Omega_{s}}s(\\mathbf x) d\\mathbf x =1 \\quad \\text{(normalized)}.$$
\n", "\n", "Assuming that the density functions $s_0, s$ have finite second moments, there is an unique solution \n", " to the Monge optimal transport problem:
\n", "\\begin{align} \\label{Monge}\n", "&\\text{min Monge }(T)=\\int_{R^d}\\big|x-T(x)\\big|^2s_0(x)dx, \\qquad (1)\\\\\n", " &\\text{s.t.}\\quad \\int_{B}s(\\mathbf y)d\\mathbf y= \\int_{T^{-1}(B)} s_0(\\mathbf x) d\\mathbf x, \\quad \\text{for all open} \\ B\\subseteq \\mathbb R^d. \\qquad (2) \\label{mass-preserving}\n", "\\end{align}\n", "Any map $T$ satisfying constraint in (2) is called a transport (mass-preserving) map between $s_0$ and $s$. In particular, when $T$ is bijective and continuously differentiable, the mass-preserving constraint in (2) becomes
\n", "\\begin{equation} \\label{MassCons}\n", "s_0(x)= \\big|\\det \\big(\\nabla T(x)\\big)\\big|s\\big(T(x)\\big).\n", "\\end{equation}\n", "\n", "The minimizer to the above Monge problem is called an optimal transport map. Given a fixed reference density $s_0$, the LOT transform $\\widehat s$ of a density function $s$ is defined to the unique optimal transport map from $s_0$ to $s$. \n", "Moreover Brenier [1] shows that any optimal transport map can be written as the gradient of a convex function, i.e., $\\widehat s = \\nabla \\phi$ where $\\phi$ is a convex function. Following the generic approach described in [2], Kolouri et al. [3] employed an iterative algorithm minimizing (1) with constraint (2) via the gradient descent idea.\n", "\n", "### References\n", "[1] Y. Brenier. Polar factorization and monotone rearrangement of vector-valuedfunctions.Commun. Pure Appl. Math., 44(4):375–417, 1991.1
\n", "[2] S. Haker, L. Zhu, A. Tannenbaum, and S. Angenent. Optimal mass transport forregistration and warping.Int. J. Comput. Vis., 60(4):225–240, 2004.
\n", "[3] S. Kolouri, A. Tosun, J. Ozolek, and G. Rohde. A continuous linear optimal trans-port approach for pattern analysis in image datasets.Pattern Recognit., 51:453–462, 2016." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## CLOT Demo\n", "The examples will cover the following operations:\n", "* Forward operation of the CLOT\n", "* Apply forward map to transport $I_1$ to $I_0$\n", "* Apply inverse map to reconstruct $I_1$ from $I_0$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Forward CLOT" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Import necessary python packages" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Read and normalize two images $I_0$ and $I_1$." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.image as mpimg\n", "import sys\n", "sys.path.append('../')\n", "from pytranskit.optrans.utils import signal_to_pdf\n", "\n", "I0 = mpimg.imread('images/I0.bmp')\n", "I1 = mpimg.imread('images/I1.bmp')\n", "\n", "# Convert images to PDFs\n", "img0 = signal_to_pdf(I0, sigma=1., total=100.)\n", "img1 = signal_to_pdf(I1, sigma=1., total=100.)\n", "\n", "fig, ax = plt.subplots(1, 2, sharex=True, sharey=True, figsize=(5,10))\n", "ax[0].imshow(img0,cmap='gray')\n", "ax[1].imshow(img1,cmap='gray')\n", "ax[0].set_title('$I_0$')\n", "ax[1].set_title('$I_1$')\n", "ax[0].axis('off')\n", "ax[1].axis('off')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Compute CLOT and apply forward map" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pytranskit.optrans.continuous.clot import CLOT\n", "from pytranskit.optrans.utils import plot_displacements2d\n", "\n", "clot = CLOT(max_iter=500, lr=1e-6, tol=1e-4,verbose=0)\n", "\n", "# calculate CLOT\n", "lot = clot.forward(img0, img1)\n", "\n", "# transport map and displacement map from I1 to I0\n", "tmap10 = clot.transport_map_\n", "disp = clot.displacements_\n", "\n", "# apply forward map to transport I1 to I0\n", "img0_recon = clot.apply_forward_map(tmap10, img1)\n", "\n", "fig, ax = plt.subplots(1, 4, sharex=True, sharey=True, figsize=(10,20))\n", "ax[0].imshow(img0, cmap='gray')\n", "ax[0].set_title('$I_0$')\n", "\n", "ax[1].imshow(img1, cmap='gray')\n", "ax[1].set_title('$I_1$')\n", "\n", "ax[2].imshow(img0_recon, cmap='gray')\n", "ax[2].set_title('$f^{\\'}I_1\\circ f$')\n", "\n", "plot_displacements2d(disp, ax=ax[3], count=20)\n", "ax[3].set_title('Displacement')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Inverse CLOT\n", "Apply inverse map on $I_0$ to reconstruct $I_1$" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "img1_recon = clot.apply_inverse_map(tmap10, img0)\n", "\n", "fig, ax = plt.subplots(1, 3, sharex=True, sharey=True, figsize=(8,15))\n", "ax[0].imshow(img1, cmap='gray')\n", "ax[0].set_title('$I_1$')\n", "\n", "ax[1].imshow(img0, cmap='gray')\n", "ax[1].set_title('$I_0$')\n", "\n", "ax[2].imshow(img1_recon, cmap='gray')\n", "ax[2].set_title('$(f^{-1})\\'I_0\\circ f^{-1}$')\n", "\n", "ax[0].axis('off')\n", "ax[1].axis('off')\n", "ax[2].axis('off')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Geodesic\n", "Show points on the geodesic between $I_0$ and $I_1$" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "lot11 = clot.forward(img1, img1)\n", "tmap11 = clot.transport_map_\n", "\n", "alpha = np.linspace(0,1,5)\n", "img_recon = []\n", "fig, ax = plt.subplots(1, len(alpha), sharex=True, sharey=True, figsize=(10,5*len(alpha)))\n", "for i in range(len(alpha)):\n", " tmap = alpha[i]*tmap10 + (1-alpha[i])*tmap11\n", " img_recon.append(clot.apply_forward_map(tmap, img1))\n", " ax[i].imshow(img_recon[i],cmap='gray')\n", " ax[i].axis('off')\n", "plt.show" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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": 2 }