{ "cells": [ { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "# Image Deconvolution using Variational Method" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "This numerical tour explores the use of\n", "Sobolev and TV regularization to perform image deconvolution." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "*Important:* Please read the [installation page](http://gpeyre.github.io/numerical-tours/installation_python/) for details about how to install the toolboxes.\n", "$\\newcommand{\\dotp}[2]{\\langle #1, #2 \\rangle}$\n", "$\\newcommand{\\enscond}[2]{\\lbrace #1, #2 \\rbrace}$\n", "$\\newcommand{\\pd}[2]{ \\frac{ \\partial #1}{\\partial #2} }$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\umax}[1]{\\underset{#1}{\\max}\\;}$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\uargmin}[1]{\\underset{#1}{argmin}\\;}$\n", "$\\newcommand{\\norm}[1]{\\|#1\\|}$\n", "$\\newcommand{\\abs}[1]{\\left|#1\\right|}$\n", "$\\newcommand{\\choice}[1]{ \\left\\{ \\begin{array}{l} #1 \\end{array} \\right. }$\n", "$\\newcommand{\\pa}[1]{\\left(#1\\right)}$\n", "$\\newcommand{\\diag}[1]{{diag}\\left( #1 \\right)}$\n", "$\\newcommand{\\qandq}{\\quad\\text{and}\\quad}$\n", "$\\newcommand{\\qwhereq}{\\quad\\text{where}\\quad}$\n", "$\\newcommand{\\qifq}{ \\quad \\text{if} \\quad }$\n", "$\\newcommand{\\qarrq}{ \\quad \\Longrightarrow \\quad }$\n", "$\\newcommand{\\ZZ}{\\mathbb{Z}}$\n", "$\\newcommand{\\CC}{\\mathbb{C}}$\n", "$\\newcommand{\\RR}{\\mathbb{R}}$\n", "$\\newcommand{\\EE}{\\mathbb{E}}$\n", "$\\newcommand{\\Zz}{\\mathcal{Z}}$\n", "$\\newcommand{\\Ww}{\\mathcal{W}}$\n", "$\\newcommand{\\Vv}{\\mathcal{V}}$\n", "$\\newcommand{\\Nn}{\\mathcal{N}}$\n", "$\\newcommand{\\NN}{\\mathcal{N}}$\n", "$\\newcommand{\\Hh}{\\mathcal{H}}$\n", "$\\newcommand{\\Bb}{\\mathcal{B}}$\n", "$\\newcommand{\\Ee}{\\mathcal{E}}$\n", "$\\newcommand{\\Cc}{\\mathcal{C}}$\n", "$\\newcommand{\\Gg}{\\mathcal{G}}$\n", "$\\newcommand{\\Ss}{\\mathcal{S}}$\n", "$\\newcommand{\\Pp}{\\mathcal{P}}$\n", "$\\newcommand{\\Ff}{\\mathcal{F}}$\n", "$\\newcommand{\\Xx}{\\mathcal{X}}$\n", "$\\newcommand{\\Mm}{\\mathcal{M}}$\n", "$\\newcommand{\\Ii}{\\mathcal{I}}$\n", "$\\newcommand{\\Dd}{\\mathcal{D}}$\n", "$\\newcommand{\\Ll}{\\mathcal{L}}$\n", "$\\newcommand{\\Tt}{\\mathcal{T}}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\al}{\\alpha}$\n", "$\\newcommand{\\la}{\\lambda}$\n", "$\\newcommand{\\ga}{\\gamma}$\n", "$\\newcommand{\\Ga}{\\Gamma}$\n", "$\\newcommand{\\La}{\\Lambda}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\Si}{\\Sigma}$\n", "$\\newcommand{\\be}{\\beta}$\n", "$\\newcommand{\\de}{\\delta}$\n", "$\\newcommand{\\De}{\\Delta}$\n", "$\\newcommand{\\phi}{\\varphi}$\n", "$\\newcommand{\\th}{\\theta}$\n", "$\\newcommand{\\om}{\\omega}$\n", "$\\newcommand{\\Om}{\\Omega}$\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "using PyPlot\n", "using NtToolBox\n", "# using Autoreload\n", "# arequire(\"NtToolBox\")" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "This tour is concerned with the deconvolution problem. The measurement\n", "are assumed to be blurry and noisy:\n", " $$y=\\Phi f_0 + w = h \\star f_0 + w$$\n", "\n", "\n", "\n", "Where here |h| is the filter (low pass) and |w| some noise (here assumed\n", "to be white Gaussian).\n", "\n", "\n", "We consider variational deconvolution methods, that finds a regularizer\n", "through a convex optimization:\n", " $$f^\\star \\in \\text{argmin}_f \\frac{1}{2}\\|y-\\Phi f\\|^2 + \\lambda J(f)$$\n", "\n", "\n", "\n", "Where $J(f)$ is a prior energy. In this tour we consider a simple L2\n", "prior (the image is assumed to have a bounded energy), a Sobolev prior\n", "(the image is uniformly smooth) and an approximate total variation (the\n", "image has edges of bounded perimeter).\n", "\n", "\n", "Note that the parameter $\\lambda$ should be carefully chosen to fit the\n", "noise level." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Image Blurring" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Deconvolution corresponds to removing a blur from an image.\n", "We use here a Gaussian blur.\n", "\n", "\n", "First we load the image to be inpainted." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "n = 256\n", "name = \"NtToolBox/src/data/hibiscus.png\"\n", "f0 = load_image(name, n);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Initial image $f_0$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "PyObject " ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "imageplot(f0, \"Image f0\", [1, 2, 1])" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We build a convolution kernel.\n", "Since we are going to use Fourier to compute the convolution,\n", "we set the center of the kernel in the (1,1) pixel location." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Width $s$ of the kernel, in pixel." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "s = 3;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Define the convolution kernel $h$." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "include(\"NtToolBox/src/ndgrid.jl\")\n", "x = [collect(0:n/2 - 1); collect(-n/2:-1)]\n", "(Y, X) = meshgrid(x, x)\n", "h = exp((-X.^2 - Y.^2)/(2*s^2))\n", "h = h/sum(h);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Useful for later : the Fourier transform (should be real because of symmetry)." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "256×256 Array{Float64,2}:\n", " 1.0 0.997293 0.989216 0.975898 … 0.975898 0.989216 0.997293\n", " 0.997293 0.994593 0.986538 0.973256 0.973256 0.986538 0.994593\n", " 0.989216 0.986538 0.978547 0.965374 0.965374 0.978547 0.986538\n", " 0.975898 0.973256 0.965374 0.952377 0.952377 0.965374 0.973256\n", " 0.957555 0.954963 0.947228 0.934476 0.934476 0.947228 0.954963\n", " 0.934476 0.931946 0.924398 0.911954 … 0.911954 0.924398 0.931946\n", " 0.907023 0.904567 0.897241 0.885162 0.885162 0.897241 0.904567\n", " 0.875616 0.873246 0.866173 0.854512 0.854512 0.866173 0.873246\n", " 0.840726 0.83845 0.831659 0.820463 0.820463 0.831659 0.83845 \n", " 0.802862 0.800689 0.794204 0.783512 0.783512 0.794204 0.800689\n", " 0.762558 0.760494 0.754334 0.744179 … 0.744179 0.754334 0.760494\n", " 0.720361 0.718411 0.712592 0.702999 0.702999 0.712592 0.718411\n", " 0.67682 0.674987 0.66952 0.660507 0.660507 0.66952 0.674987\n", " ⋮ ⋱ ⋮ \n", " 0.67682 0.674987 0.66952 0.660507 0.660507 0.66952 0.674987\n", " 0.720361 0.718411 0.712592 0.702999 … 0.702999 0.712592 0.718411\n", " 0.762558 0.760494 0.754334 0.744179 0.744179 0.754334 0.760494\n", " 0.802862 0.800689 0.794204 0.783512 0.783512 0.794204 0.800689\n", " 0.840726 0.83845 0.831659 0.820463 0.820463 0.831659 0.83845 \n", " 0.875616 0.873246 0.866173 0.854512 0.854512 0.866173 0.873246\n", " 0.907023 0.904567 0.897241 0.885162 … 0.885162 0.897241 0.904567\n", " 0.934476 0.931946 0.924398 0.911954 0.911954 0.924398 0.931946\n", " 0.957555 0.954963 0.947228 0.934476 0.934476 0.947228 0.954963\n", " 0.975898 0.973256 0.965374 0.952377 0.952377 0.965374 0.973256\n", " 0.989216 0.986538 0.978547 0.965374 0.965374 0.978547 0.986538\n", " 0.997293 0.994593 0.986538 0.973256 … 0.973256 0.986538 0.994593" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hF = real(plan_fft(h)*h);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the kernel and its transform.\n", "We use |fftshift| to center the filter for display." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "PyObject " ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "imageplot(fftshift(h), \"Filter\", [1, 2, 1])\n", "imageplot(fftshift(hF), \"Fourier transform\", [1, 2, 2])" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We use this short hand for the filtering.\n", "Note that this is a symmetric operator." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "(::#3) (generic function with 1 method)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Phi = (x, h) -> real(plan_ifft((plan_fft(x)*x) .* (plan_fft(h)*h))*((plan_fft(x)*x) .* (plan_fft(h)*h)))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "*Important* Scilab user should define a function |Phi| in a separate file |Phi.sci|\n", "to perform this.\n", "\n", "\n", "Apply the filter." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "256×256 Array{Float64,2}:\n", " 0.147006 0.164445 0.178005 0.187653 … 0.0906591 0.107472 0.127165\n", " 0.138294 0.156249 0.170627 0.181218 0.0822509 0.0987673 0.118306\n", " 0.132873 0.151598 0.166987 0.178637 0.0760766 0.0926947 0.112434\n", " 0.131464 0.151143 0.167608 0.180264 0.0728161 0.0899615 0.110277\n", " 0.133701 0.154393 0.171868 0.185341 0.0725241 0.0904672 0.111599\n", " 0.138475 0.160082 0.17837 0.192364 … 0.0747425 0.0935097 0.11548 \n", " 0.144456 0.166724 0.185502 0.199624 0.0787502 0.098146 0.12077 \n", " 0.150461 0.172999 0.191824 0.205601 0.0837858 0.103476 0.126429\n", " 0.155538 0.177844 0.196176 0.20908 0.0891548 0.108739 0.131609\n", " 0.158878 0.180365 0.197607 0.209119 0.0942428 0.113281 0.135589\n", " 0.159786 0.179831 0.195408 0.205105 … 0.0985227 0.116535 0.137736\n", " 0.157835 0.17587 0.189329 0.196972 0.101614 0.118099 0.137626\n", " 0.153118 0.168747 0.179862 0.185461 0.103376 0.117879 0.135232\n", " ⋮ ⋱ ⋮ \n", " 0.211392 0.227374 0.239281 0.245411 0.163151 0.176982 0.193746\n", " 0.208349 0.225184 0.238373 0.24617 … 0.159525 0.173321 0.190243\n", " 0.204261 0.221724 0.235947 0.245225 0.155038 0.168817 0.185842\n", " 0.19968 0.21752 0.232441 0.242862 0.150085 0.163933 0.181068\n", " 0.195207 0.213193 0.228429 0.239543 0.145006 0.159105 0.17645 \n", " 0.191305 0.209261 0.224435 0.235735 0.140027 0.154636 0.172375\n", " 0.188057 0.205868 0.220664 0.231677 … 0.135161 0.150538 0.168877\n", " 0.184983 0.202593 0.216809 0.227195 0.13015 0.146431 0.165494\n", " 0.181112 0.198512 0.212106 0.221746 0.124497 0.141595 0.161332\n", " 0.175394 0.192616 0.20572 0.214754 0.117678 0.135268 0.155434\n", " 0.167307 0.184435 0.197327 0.206113 0.109455 0.127084 0.147325\n", " 0.157342 0.17452 0.187562 0.196563 … 0.100144 0.117432 0.137446" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y0 = Phi(f0, h);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the filtered observation." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "PyObject " ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "imageplot(y0, \"Observation without noise\", [1, 2, 2])" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Variance $\\sigma^2$ of the noise $w$." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "0.02" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sigma = .02;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Add some noise to obtain the measurements $y = \\Phi f_0 + w$." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "256×256 Array{Float64,2}:\n", " 0.187654 0.185974 0.195066 0.189263 … 0.10219 0.0918291 0.116488 \n", " 0.0948482 0.164217 0.154785 0.205916 0.114538 0.0904093 0.121988 \n", " 0.109873 0.151707 0.152401 0.174968 0.0855326 0.107687 0.123125 \n", " 0.143554 0.127152 0.145506 0.202726 0.0730925 0.0606067 0.11371 \n", " 0.140267 0.162569 0.12932 0.216793 0.0631901 0.0337215 0.0986603\n", " 0.115588 0.177814 0.179761 0.207952 … 0.0853762 0.116003 0.112846 \n", " 0.109074 0.185258 0.207259 0.168357 0.0715336 0.101621 0.128139 \n", " 0.1629 0.186155 0.178142 0.204365 0.0927259 0.11247 0.159682 \n", " 0.188056 0.179991 0.196923 0.204523 0.0847032 0.0837348 0.142779 \n", " 0.152072 0.189626 0.251811 0.183494 0.0361014 0.0995018 0.162877 \n", " 0.161646 0.158808 0.189759 0.200411 … 0.0688726 0.104941 0.135166 \n", " 0.18464 0.179556 0.19524 0.191587 0.100401 0.145377 0.141307 \n", " 0.149682 0.151738 0.186778 0.19889 0.104088 0.128602 0.0990785\n", " ⋮ ⋱ ⋮ \n", " 0.211564 0.223764 0.225694 0.244671 0.149713 0.189644 0.230029 \n", " 0.195579 0.255084 0.241725 0.275118 … 0.189193 0.185328 0.175083 \n", " 0.222678 0.216384 0.21176 0.229708 0.154533 0.188109 0.180246 \n", " 0.180241 0.184694 0.247267 0.238275 0.169057 0.149369 0.146512 \n", " 0.173484 0.216062 0.249936 0.180448 0.113218 0.144172 0.18361 \n", " 0.185531 0.247864 0.19006 0.262168 0.115784 0.145987 0.237863 \n", " 0.212075 0.212495 0.226593 0.254123 … 0.149225 0.124584 0.183222 \n", " 0.189201 0.224105 0.184032 0.276107 0.115665 0.154473 0.132736 \n", " 0.198049 0.181465 0.18256 0.20032 0.131819 0.128139 0.162517 \n", " 0.193973 0.181978 0.203586 0.187119 0.103915 0.129151 0.153031 \n", " 0.137058 0.205306 0.190603 0.177478 0.106389 0.17353 0.177976 \n", " 0.165238 0.177609 0.206904 0.214931 … 0.0620544 0.117736 0.160573 " ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y = y0 .+ randn(n, n).*sigma;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "PyObject " ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "imageplot(clamP(y), \"Observation with noise\", [1, 2, 2])" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "PyObject " ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "imageplot(y, string(\"Observation, SNR = \", string(round(snr(f0, y),2)), \"dB\"))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Deconvolution with L2 Regularization" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Deconvolution is obtained by dividing the Fourier transform of $y$\n", "by $\\hat h$.\n", " $$f^\\star(\\omega) = \\frac{\\hat y(\\omega)}{\\hat h(\\omega)} = \\hat f_0(\\omega) + \\hat w(\\omega)/{\\hat h(\\omega)}$$\n", "\n", "\n", "Unfortunately this creates an explosion of the Noise.\n", "\n", "\n", "To avoid this explosion, we consider a simple regularization.\n", " $$f^{\\star} = \\text{argmin}_f \\: \\|y-\\Phi f\\|^2 + \\lambda \\|f\\|^2$$\n", "\n", "\n", "\n", "Since the filtering is diagonalized over Fourier, the solution is simply\n", "computed over the Fourier domain as:\n", " $$\\hat f^\\star(\\omega) = \\frac{\\hat y(\\omega) \\hat h(\\omega)}{ \\|\\hat h(\\omega)\\|^2 + \\lambda }$$\n", "\n", "\n", "\n", "Useful for later: Fourier transform of the observations." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "256×256 Array{Complex{Float64},2}:\n", " 23959.6+0.0im -2143.98-880.931im … -2143.98+880.931im\n", " -2229.31-216.21im -2522.91-1518.67im -1420.11+682.078im\n", " -997.392-22.7833im -203.708+500.58im 426.197+1008.44im\n", " 327.986+392.848im -119.196-345.563im -222.064-48.2954im\n", " -84.1553+594.889im 54.5129+162.707im 348.778+164.008im\n", " 341.862+194.015im 254.462-18.3943im … 122.646-71.5433im\n", " -118.367+375.152im 114.547+158.468im -319.528+64.7372im\n", " -96.1416+209.634im 296.944+220.954im -314.014+55.2186im\n", " 95.7686+199.581im 33.0256+1.18373im 2.73406+86.182im \n", " -25.4992+154.863im 75.9527-159.491im -105.829+76.8562im\n", " -103.789+201.114im -0.00158153+79.6004im … -78.2486+4.80056im\n", " -140.109+49.5548im -81.907-23.7371im -14.7995-4.43073im\n", " 102.193+2.29866im 64.3186-7.02616im 19.1352-125.278im\n", " ⋮ ⋱ ⋮ \n", " 102.193-2.29866im 19.1352+125.278im 64.3186+7.02616im\n", " -140.109-49.5548im -14.7995+4.43073im … -81.907+23.7371im\n", " -103.789-201.114im -78.2486-4.80056im -0.00158153-79.6004im\n", " -25.4992-154.863im -105.829-76.8562im 75.9527+159.491im\n", " 95.7686-199.581im 2.73406-86.182im 33.0256-1.18373im\n", " -96.1416-209.634im -314.014-55.2186im 296.944-220.954im\n", " -118.367-375.152im -319.528-64.7372im … 114.547-158.468im\n", " 341.862-194.015im 122.646+71.5433im 254.462+18.3943im\n", " -84.1553-594.889im 348.778-164.008im 54.5129-162.707im\n", " 327.986-392.848im -222.064+48.2954im -119.196+345.563im\n", " -997.392+22.7833im 426.197-1008.44im -203.708-500.58im \n", " -2229.31+216.21im -1420.11-682.078im … -2522.91+1518.67im" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "yF = plan_fft(y)*y;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Select a value for the regularization parameter." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "0.02" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Lambda = 0.02;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Perform the inversion." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "256×256 Array{Float64,2}:\n", " 0.162544 0.179298 0.184509 0.182516 … 0.0698412 0.101146 0.134711 \n", " 0.135278 0.157158 0.169893 0.175841 0.0451367 0.0734671 0.105721 \n", " 0.113034 0.140381 0.160654 0.174409 0.0224082 0.0489482 0.0809874\n", " 0.10342 0.135526 0.161482 0.180579 0.00818441 0.0348732 0.0682827\n", " 0.109804 0.145305 0.174012 0.194632 0.00625252 0.034968 0.0712569\n", " 0.129587 0.167085 0.195777 0.214339 … 0.0157824 0.0475732 0.0876302\n", " 0.155517 0.194114 0.221244 0.235814 0.0319167 0.066651 0.110449 \n", " 0.179103 0.218471 0.244 0.254771 0.0485613 0.085039 0.131588 \n", " 0.194054 0.233982 0.258777 0.267442 0.0615229 0.0978598 0.145318 \n", " 0.197972 0.237758 0.262571 0.271061 0.0699496 0.104023 0.149942 \n", " 0.191946 0.230142 0.254865 0.264238 … 0.0754737 0.105323 0.147066 \n", " 0.178988 0.213717 0.237333 0.247373 0.0802253 0.104373 0.139668 \n", " 0.162592 0.192233 0.213362 0.222933 0.0853638 0.103043 0.130509 \n", " ⋮ ⋱ ⋮ \n", " 0.2269 0.255543 0.27548 0.283871 0.145187 0.165838 0.194862 \n", " 0.213799 0.242036 0.263361 0.275427 … 0.135923 0.155495 0.183087 \n", " 0.200189 0.228668 0.251672 0.267416 0.123613 0.142771 0.169884 \n", " 0.191051 0.220268 0.244587 0.262905 0.111601 0.131761 0.159941 \n", " 0.18877 0.218337 0.242488 0.261082 0.102819 0.125593 0.156202 \n", " 0.192417 0.220905 0.2425 0.258419 0.0986966 0.1252 0.158762 \n", " 0.199078 0.224571 0.241139 0.2517 … 0.0990011 0.129457 0.165528 \n", " 0.20576 0.226795 0.236785 0.240448 0.102249 0.136053 0.173613 \n", " 0.210154 0.226498 0.229984 0.22685 0.106059 0.142104 0.180101 \n", " 0.210058 0.222921 0.221744 0.213623 0.107349 0.144282 0.181917 \n", " 0.202902 0.214553 0.21191 0.202005 0.102847 0.139183 0.17586 \n", " 0.186768 0.199831 0.199463 0.191699 … 0.0902727 0.124573 0.159808 " ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fL2 = real(plan_ifft((yF .* hF ./ (abs(hF).^2 .+ Lambda)))*((yF .* hF ./ (abs(hF).^2 .+ Lambda))));" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "PyObject " ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "imageplot(clamP(fL2), string(\"L2 deconvolution, SNR = \", string(round(snr(f0, fL2), 2)), \"dB\"))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "**Exercise 1:** Find the optimal solution fL2 by testing several value of $\\lambda$." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "256×256 Array{Float64,2}:\n", " 0.172828 0.188661 0.189746 … 0.0698061 0.104854 0.142608 \n", " 0.139417 0.161483 0.172343 0.0424529 0.0728089 0.107817 \n", " 0.11129 0.13975 0.160133 0.0165905 0.0438522 0.077498 \n", " 0.0987255 0.132439 0.159574 0.000476029 0.0274102 0.0619509\n", " 0.106348 0.143443 0.17319 -0.00108197 0.0282633 0.0659985\n", " 0.130656 0.169416 0.198056 … 0.0106395 0.0439784 0.0864246\n", " 0.161938 0.20154 0.227281 0.0291259 0.0663883 0.113822 \n", " 0.189174 0.229719 0.253056 0.046588 0.0862457 0.137617 \n", " 0.204775 0.246547 0.269297 0.0583074 0.0979514 0.151021 \n", " 0.206657 0.24916 0.272889 0.0643789 0.101348 0.153009 \n", " 0.197225 0.238765 0.263663 … 0.0680819 0.0999811 0.146821 \n", " 0.180859 0.218998 0.243811 0.0727651 0.0978384 0.136891 \n", " 0.161877 0.19444 0.217286 0.0797671 0.097142 0.126597 \n", " ⋮ ⋱ ⋮ \n", " 0.232417 0.262507 0.282589 0.145385 0.167027 0.198121 \n", " 0.215994 0.244587 0.265486 … 0.135835 0.155678 0.184272 \n", " 0.199465 0.227822 0.2503 0.122129 0.141129 0.168733 \n", " 0.189391 0.218675 0.242689 0.108293 0.128516 0.157556 \n", " 0.188518 0.218625 0.242563 0.0978814 0.121671 0.154298 \n", " 0.195036 0.224281 0.245171 0.0926359 0.121604 0.158707 \n", " 0.204818 0.230691 0.245318 … 0.0924668 0.126931 0.16794 \n", " 0.214293 0.234799 0.241102 0.0960849 0.135199 0.178675 \n", " 0.221291 0.236055 0.234107 0.101288 0.143523 0.187957 \n", " 0.223645 0.234202 0.226406 0.104803 0.148288 0.192479 \n", " 0.21798 0.227216 0.217736 0.102555 0.145174 0.188104 \n", " 0.200999 0.212174 0.205861 … 0.0910958 0.1307 0.171386 " ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "include(\"NtSolutions/inverse_2_deconvolution_variational/exo1.jl\")" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display optimal result." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "PyObject " ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "imageplot(clamP(fL2), string(\"L2 deconvolution, SNR = \", string(round(snr(f0, fL2), 2)), \"dB\") )" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Deconvolution by Sobolev Regularization." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "L2 regularization did not perform any denoising. To remove some noise, we\n", "can penalize high frequencies using Sobolev regularization (quadratic\n", "grow).\n", "\n", "\n", "The Sobolev prior reads (note the conversion from spacial domain to\n", "Fourier domain)\n", " $$J(f) = \\sum_x \\|\\nabla f(x)\\|^2 = \\sum_{\\omega} S(\\omega) \\|\\hat f(\\omega)\\|^2 $$\n", "where $S(\\omega)=\\|\\omega\\|^2$.\n", "\n", "\n", "\n", "\n", "\n", "Since this prior can be written over the Fourier domain, one can compute\n", "the solution to the deblurring with Sobolev prior simply with the Fourier\n", "coefficients:\n", " $$\\hat f^\\star(\\omega) = \\frac{\\hat y(\\omega) \\hat h(\\omega)}{ \\|\\hat h(\\omega)\\|^2 + \\lambda S(\\omega) }$$\n", "\n", "\n", "\n", "\n", "Compute the Sobolev prior penalty |S|(rescale to [0,1])." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "256×256 Array{Float64,2}:\n", " 0.0 6.10352e-5 0.000244141 … 0.000244141 6.10352e-5 \n", " 6.10352e-5 0.00012207 0.000305176 0.000305176 0.00012207 \n", " 0.000244141 0.000305176 0.000488281 0.000488281 0.000305176\n", " 0.000549316 0.000610352 0.000793457 0.000793457 0.000610352\n", " 0.000976563 0.0010376 0.0012207 0.0012207 0.0010376 \n", " 0.00152588 0.00158691 0.00177002 … 0.00177002 0.00158691 \n", " 0.00219727 0.0022583 0.00244141 0.00244141 0.0022583 \n", " 0.00299072 0.00305176 0.00323486 0.00323486 0.00305176 \n", " 0.00390625 0.00396729 0.00415039 0.00415039 0.00396729 \n", " 0.00494385 0.00500488 0.00518799 0.00518799 0.00500488 \n", " 0.00610352 0.00616455 0.00634766 … 0.00634766 0.00616455 \n", " 0.00738525 0.00744629 0.00762939 0.00762939 0.00744629 \n", " 0.00878906 0.0088501 0.0090332 0.0090332 0.0088501 \n", " ⋮ ⋱ ⋮ \n", " 0.00878906 0.0088501 0.0090332 0.0090332 0.0088501 \n", " 0.00738525 0.00744629 0.00762939 … 0.00762939 0.00744629 \n", " 0.00610352 0.00616455 0.00634766 0.00634766 0.00616455 \n", " 0.00494385 0.00500488 0.00518799 0.00518799 0.00500488 \n", " 0.00390625 0.00396729 0.00415039 0.00415039 0.00396729 \n", " 0.00299072 0.00305176 0.00323486 0.00323486 0.00305176 \n", " 0.00219727 0.0022583 0.00244141 … 0.00244141 0.0022583 \n", " 0.00152588 0.00158691 0.00177002 0.00177002 0.00158691 \n", " 0.000976563 0.0010376 0.0012207 0.0012207 0.0010376 \n", " 0.000549316 0.000610352 0.000793457 0.000793457 0.000610352\n", " 0.000244141 0.000305176 0.000488281 0.000488281 0.000305176\n", " 6.10352e-5 0.00012207 0.000305176 … 0.000305176 0.00012207 " ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "S = (X.^2 + Y.^2) .* (2/n).^2;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Regularization parameter:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "0.2" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Lambda = 0.2;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Perform the inversion." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "256×256 Array{Float64,2}:\n", " 0.175639 0.19019 0.189784 0.181096 … 0.0709781 0.107597 0.145925 \n", " 0.142296 0.163247 0.172283 0.17375 0.04087 0.0736867 0.110397 \n", " 0.114817 0.142669 0.161192 0.172556 0.012912 0.0433002 0.0797346\n", " 0.102337 0.13616 0.161862 0.180008 -0.00453659 0.025591 0.0634812\n", " 0.10899 0.147008 0.176298 0.196541 -0.00673413 0.0252544 0.0661898\n", " 0.13184 0.172287 0.201825 0.219858 … 0.00520149 0.040325 0.0852486\n", " 0.162261 0.204053 0.232024 0.245588 0.0250944 0.0633587 0.112266 \n", " 0.189869 0.232701 0.25916 0.268613 0.0451309 0.0853097 0.137162 \n", " 0.206721 0.25054 0.276711 0.28428 0.0597676 0.0997531 0.152552 \n", " 0.20969 0.253931 0.280955 0.289184 0.0677859 0.105067 0.156083 \n", " 0.200318 0.243476 0.271401 0.281705 … 0.071598 0.103755 0.149966 \n", " 0.182984 0.222846 0.250421 0.262465 0.0747898 0.0999625 0.138687 \n", " 0.162767 0.197208 0.222495 0.234591 0.0797267 0.0970127 0.126604 \n", " ⋮ ⋱ ⋮ \n", " 0.236245 0.268219 0.290054 0.298505 0.145699 0.168011 0.200319 \n", " 0.219679 0.250613 0.273607 0.286097 … 0.135257 0.15584 0.185903 \n", " 0.202416 0.23314 0.257653 0.274186 0.120748 0.1405 0.169585 \n", " 0.1908 0.22204 0.247695 0.266969 0.10618 0.127043 0.157257 \n", " 0.188176 0.21968 0.244821 0.264105 0.0953185 0.119534 0.152844 \n", " 0.194027 0.224296 0.246151 0.261842 0.0904253 0.11966 0.157045 \n", " 0.205166 0.23199 0.247549 0.256226 … 0.0918311 0.126608 0.167777 \n", " 0.217575 0.239074 0.246289 0.245842 0.0980331 0.137679 0.181401 \n", " 0.227359 0.24297 0.241721 0.232146 0.105892 0.148847 0.193553 \n", " 0.23069 0.241595 0.234037 0.217675 0.110969 0.155188 0.199451 \n", " 0.223934 0.232792 0.22294 0.204079 0.108478 0.151793 0.194537 \n", " 0.205025 0.215187 0.207892 0.191758 … 0.0950877 0.135609 0.176188 " ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fSob = real(plan_ifft((yF .* hF ./ (abs(hF).^2 .+ Lambda.*S)))*((yF .* hF ./ (abs(hF).^2 .+ Lambda.*S))));" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the result." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "PyObject " ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "imageplot(clamP(fSob), string(\"Sobolev deconvolution, SNR = \", string( round(snr(f0, fSob), 2) ), \"dB\") )" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "**Exercise 2:** Find the optimal solution fSob by testing several value of\n", "$\\lambda$." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "256×256 Array{Float64,2}:\n", " 0.16994 0.185339 0.187795 0.182789 … 0.0713346 0.105698 0.141525 \n", " 0.139974 0.16114 0.171741 0.175358 0.0426857 0.0742002 0.109195 \n", " 0.115693 0.143219 0.162171 0.174281 0.0164528 0.0462581 0.0815925\n", " 0.104836 0.138064 0.1636 0.181721 -2.78932e-5 0.0298136 0.0668898\n", " 0.11087 0.148349 0.177575 0.197901 -0.00259494 0.0289657 0.0689966\n", " 0.131322 0.171491 0.201608 0.220568 … 0.00791182 0.0421771 0.0857983\n", " 0.158885 0.200628 0.229951 0.245543 0.0262935 0.0632087 0.110251 \n", " 0.18459 0.227347 0.255614 0.267878 0.0457598 0.0842433 0.133678 \n", " 0.201274 0.244669 0.272532 0.282996 0.0611486 0.0993629 0.149371 \n", " 0.205678 0.248963 0.277046 0.287538 0.0707465 0.106488 0.154666 \n", " 0.198563 0.240304 0.268435 0.279956 … 0.0759476 0.107074 0.150807 \n", " 0.183394 0.221668 0.248715 0.260946 0.0794449 0.104291 0.141283 \n", " 0.164637 0.197656 0.222 0.233587 0.08333 0.101068 0.129917 \n", " ⋮ ⋱ ⋮ \n", " 0.233826 0.265251 0.287269 0.296466 0.145866 0.16768 0.198955 \n", " 0.219113 0.250198 0.273778 0.286991 … 0.135296 0.15587 0.1856 \n", " 0.203478 0.234695 0.259935 0.277013 0.121364 0.141406 0.170512 \n", " 0.192419 0.224082 0.250397 0.270029 0.107817 0.128853 0.15889 \n", " 0.189074 0.220702 0.246449 0.266123 0.0981163 0.121922 0.154338 \n", " 0.193324 0.223485 0.246165 0.262677 0.0942646 0.122169 0.157658 \n", " 0.202561 0.22934 0.246344 0.25671 … 0.096336 0.128765 0.167053 \n", " 0.213103 0.234948 0.244552 0.24696 0.102556 0.138973 0.179071 \n", " 0.221128 0.23764 0.239792 0.234272 0.109626 0.148764 0.189445 \n", " 0.222945 0.235221 0.231811 0.22041 0.113267 0.153467 0.19365 \n", " 0.215396 0.225801 0.220303 0.206717 0.109265 0.148785 0.187718 \n", " 0.197073 0.208586 0.205183 0.19388 … 0.095056 0.132413 0.169737 " ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "include(\"NtSolutions/inverse_2_deconvolution_variational/exo2.jl\")" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display optimal result." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "PyObject " ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "imageplot(clamP(fSob), string(\"Sobolev deconvolution, SNR = \", string( round(snr(f0, fSob), 2) ), \"dB\") )" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Deconvolution by Total Variation Regularization" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Sobolev regularization perform a denoising but also tends to blur the\n", "edges, thus producing a poor results on cartoon images.\n", "\n", "\n", "The TV prior is able to better reconstruct sharp edges. It reads:\n", " $$J(f) = \\sum_x \\| \\nabla f(x)\\|$$\n", "\n", "\n", "\n", "With respect to the Sobolev energy, it simply corresponding to measuring\n", "the L1 norm instead of the L2 norm, thus dropping the square in the\n", "functional.\n", "\n", "\n", "Unfortunately, the TV functional $J(f)$ is not a smooth function of the image\n", "$f$. It thus requires the use of advanced convex optimization method to\n", "be minimized for regularization.\n", "\n", "\n", "An alternative is to replace the absolute value by a smooth absolute value.\n", "The smoothed TV norm reads:\n", " $$J(f) = \\sum_x \\sqrt{\\|\\nabla f(x)\\|^2+\\varepsilon^2}$$\n", "\n", "\n", "\n", "Regularization parameter for the TV norm:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "0.004" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "epsilon = 0.4*1e-2;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "When $\\epsilon$ gets close to zero, the smoothed energy becomes closer to\n", "the original total variation, but the optimization becomes more\n", "difficult. When |epsilon| becomes large, the smoothed energy becomes\n", "closer to the Sobolev energy, thus blurring the edges.\n", "\n", "\n", "Unfortunately, this prior is non-quadratic, and cannot be expressed over\n", "the Fourier domain. One thus need to use an iterative scheme such as a\n", "gradient descent to approximate the solution.\n", "\n", "\n", "An iteration of the gradient descent reads:\n", " $$f^{(k+1)} = f^{(k)} - \\tau \\left( h \\star (h \\star f^{(k)} - y) + \\lambda \\text{Grad} J(f^{(k)}) \\right)$$\n", "\n", "\n", "\n", "Regularization parameter." ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "0.06" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Lambda = 0.06;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The value of $\\tau$, the step size, should be smaller than twice the\n", "Lipschitz constant of the Gradient of the functional to be minimized,\n", "hence:\n", "$$ \\tau< \\frac{2}{1 + \\lambda 8/\\varepsilon }.$$" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "0.015702479338842973" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tau = 1.9 / (1 + Lambda * 8 / epsilon);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Initialization." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "256×256 Array{Float64,2}:\n", " 0.187654 0.185974 0.195066 0.189263 … 0.10219 0.0918291 0.116488 \n", " 0.0948482 0.164217 0.154785 0.205916 0.114538 0.0904093 0.121988 \n", " 0.109873 0.151707 0.152401 0.174968 0.0855326 0.107687 0.123125 \n", " 0.143554 0.127152 0.145506 0.202726 0.0730925 0.0606067 0.11371 \n", " 0.140267 0.162569 0.12932 0.216793 0.0631901 0.0337215 0.0986603\n", " 0.115588 0.177814 0.179761 0.207952 … 0.0853762 0.116003 0.112846 \n", " 0.109074 0.185258 0.207259 0.168357 0.0715336 0.101621 0.128139 \n", " 0.1629 0.186155 0.178142 0.204365 0.0927259 0.11247 0.159682 \n", " 0.188056 0.179991 0.196923 0.204523 0.0847032 0.0837348 0.142779 \n", " 0.152072 0.189626 0.251811 0.183494 0.0361014 0.0995018 0.162877 \n", " 0.161646 0.158808 0.189759 0.200411 … 0.0688726 0.104941 0.135166 \n", " 0.18464 0.179556 0.19524 0.191587 0.100401 0.145377 0.141307 \n", " 0.149682 0.151738 0.186778 0.19889 0.104088 0.128602 0.0990785\n", " ⋮ ⋱ ⋮ \n", " 0.211564 0.223764 0.225694 0.244671 0.149713 0.189644 0.230029 \n", " 0.195579 0.255084 0.241725 0.275118 … 0.189193 0.185328 0.175083 \n", " 0.222678 0.216384 0.21176 0.229708 0.154533 0.188109 0.180246 \n", " 0.180241 0.184694 0.247267 0.238275 0.169057 0.149369 0.146512 \n", " 0.173484 0.216062 0.249936 0.180448 0.113218 0.144172 0.18361 \n", " 0.185531 0.247864 0.19006 0.262168 0.115784 0.145987 0.237863 \n", " 0.212075 0.212495 0.226593 0.254123 … 0.149225 0.124584 0.183222 \n", " 0.189201 0.224105 0.184032 0.276107 0.115665 0.154473 0.132736 \n", " 0.198049 0.181465 0.18256 0.20032 0.131819 0.128139 0.162517 \n", " 0.193973 0.181978 0.203586 0.187119 0.103915 0.129151 0.153031 \n", " 0.137058 0.205306 0.190603 0.177478 0.106389 0.17353 0.177976 \n", " 0.165238 0.177609 0.206904 0.214931 … 0.0620544 0.117736 0.160573 " ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fTV = y;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Number of iteration (quite a large number is required)." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "300" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "niter = 300;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We first check that the discretized grad and -div are adjoint one of each other." ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Should be 0: 8.881784197001252e-14" ] } ], "source": [ "a = rand(n,n)\n", "b = rand(n, n, 2)\n", "dotp = (x, y) -> sum(x[:].*y[:])\n", "print(string(\"Should be 0: \", string(dotp(grad(a),b) + dotp(a, NtToolBox.div(b)))) ) #We use NtToolBox.div instead of div because otherwise there will be a conflict with the function div of package Base." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The gradient of the smoothed TV energy is:\n", " $$\\text{Grad} J(f) = -\\text{div}\\left( \\frac{\\nabla f}{ \\sqrt{\\|\\nabla f\\|^2+\\varepsilon^2} } \\right)$$\n", "\n", "\n", "\n", "Compute the gradient of the smoothed TV functional." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "256×256 Array{Float64,2}:\n", " 2.87749 0.783655 0.710026 … 0.818071 -2.06849 -1.07732 \n", " -3.17451 1.4231 -2.51781 3.13648 -2.04166 1.89589 \n", " -1.98244 0.961861 -0.673399 -0.248911 1.97498 1.70595 \n", " 2.65669 -3.28147 -0.518768 1.53404 -2.14657 -0.111665 \n", " 0.822426 2.03843 -2.53996 -1.18063 -2.64839 -1.092 \n", " -1.45436 0.323938 -0.683185 … 0.670577 2.83874 -1.00964 \n", " -2.01063 0.651183 3.07285 -0.806229 -1.42148 1.53331 \n", " -0.644908 2.01831 -2.71889 0.620902 0.95215 2.47747 \n", " 2.82791 -2.12022 0.304442 0.0999159 -1.75996 -1.30819 \n", " -2.53975 0.997159 3.29375 -3.30678 0.0646803 2.68217 \n", " 0.352218 -1.94356 -1.12325 … -0.823101 -0.559658 -1.5138 \n", " 2.81895 0.787592 2.12715 -1.07687 2.96766 -0.0244437\n", " -0.577439 -1.81828 0.36304 0.0558643 0.368213 -2.83873 \n", " ⋮ ⋱ ⋮ \n", " -0.589792 0.00519514 -1.63314 -1.51854 0.671268 3.07747 \n", " -1.14888 3.164 0.236293 … 2.7875 0.442172 -3.04158 \n", " 2.3253 0.0383054 -2.14536 -1.417 2.33039 -0.117888 \n", " -0.0590891 -1.82851 2.40057 2.53219 -0.180904 -2.42814 \n", " -2.16099 -0.00256683 2.3971 -2.84924 -0.777692 0.933953 \n", " -1.72915 2.97291 -2.84601 -1.95025 -0.0329899 3.36541 \n", " 1.85293 -1.87796 1.50109 … 3.06638 -2.1584 0.539254 \n", " -1.30975 2.99462 -2.50326 -2.84214 2.77059 -2.84682 \n", " 2.38261 -2.05709 -1.14862 2.09238 -1.91749 0.754408 \n", " 1.80059 -1.48523 2.80977 -1.83998 -0.337902 -1.15361 \n", " -3.19677 2.99213 -1.22237 0.731884 2.62638 1.90408 \n", " -0.856517 -1.62438 1.97504 … -1.98669 -0.521564 1.34878 " ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "repeat3 = x -> cat(3, x, x)\n", "Gr = grad(fTV)\n", "d = sqrt(epsilon^2 .+ sum(Gr.^2, 3))[:, :]\n", "G = -NtToolBox.div(Gr ./ repeat3(d) ); #We use NtToolBox.div instead of div because otherwise there will be a conflict with the function div of package Base." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Compute the TV norm, usefull to keep track of its decay through\n", "iterations." ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Smoothed TV norm of the image: 2480.24" ] } ], "source": [ "tv = sum(d)\n", "print(string(\"Smoothed TV norm of the image: \", string(round(tv,2))) )" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Perform a step of gradient descent for the inversion." ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "256×256 Array{Float64,2}:\n", " 0.184906 0.185244 0.194443 0.191333 … 0.101243 0.0936425 0.117416 \n", " 0.0977843 0.162871 0.157193 0.203671 0.111384 0.0921754 0.120094 \n", " 0.111677 0.150791 0.153072 0.176397 0.0855526 0.105655 0.121398 \n", " 0.140993 0.130243 0.146045 0.201423 0.0714273 0.062454 0.113697 \n", " 0.139452 0.16067 0.131787 0.215432 0.0640899 0.0360524 0.0995847\n", " 0.116948 0.177562 0.180511 0.207647 … 0.0845516 0.113187 0.11372 \n", " 0.110995 0.184734 0.204505 0.171425 0.0721291 0.102851 0.126651 \n", " 0.163569 0.184378 0.180876 0.203945 0.0920099 0.111499 0.15734 \n", " 0.185483 0.18214 0.196832 0.203545 0.0845105 0.0853501 0.144035 \n", " 0.154575 0.188853 0.248914 0.186534 0.039147 0.0994241 0.160396 \n", " 0.161431 0.160806 0.191019 0.198252 … 0.0696012 0.10547 0.136651 \n", " 0.182096 0.178968 0.193421 0.194008 0.101385 0.142593 0.141391 \n", " 0.150322 0.153583 0.186592 0.196949 0.104016 0.128269 0.101808 \n", " ⋮ ⋱ ⋮ \n", " 0.212248 0.223931 0.227433 0.24477 0.151138 0.189044 0.227209 \n", " 0.196779 0.252266 0.2417 0.272853 … 0.186546 0.18493 0.178015 \n", " 0.220592 0.216502 0.213973 0.230765 0.15583 0.185915 0.180409 \n", " 0.180389 0.18656 0.245191 0.237683 0.166618 0.149527 0.148838 \n", " 0.175602 0.216199 0.247856 0.183638 0.115835 0.14488 0.182757 \n", " 0.187233 0.245188 0.192909 0.259598 0.117543 0.145984 0.23471 \n", " 0.210394 0.214379 0.225335 0.25457 … 0.14625 0.126575 0.182725 \n", " 0.19049 0.221385 0.18653 0.273292 0.118249 0.151814 0.135421 \n", " 0.195847 0.18349 0.183763 0.200968 0.129745 0.129888 0.161799 \n", " 0.192304 0.183445 0.201039 0.188859 0.105533 0.129399 0.154096 \n", " 0.140077 0.202535 0.191834 0.179847 0.105568 0.170967 0.176142 \n", " 0.16603 0.179167 0.205104 0.212688 … 0.0637734 0.118116 0.15924 " ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "e = Phi(fTV, h) - y\n", "fTV = fTV - tau*(Phi(e, h) + Lambda*G);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "**Exercise 3:** Perform the deblurring by a gradient descent.\n", "Keep track of the function being minimized." ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "PyObject " ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "include(\"NtSolutions/inverse_2_deconvolution_variational/exo3.jl\")" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the result." ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(clamP(fTV))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "### Exercise 4" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Explore the different values of |lambda| to find the optimal solution.\n", "Display the SNR as a function of |lambda|." ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "256×256 Array{Float64,2}:\n", " 0.172901 0.184695 0.189334 0.192172 … 0.0550672 0.0911487 0.143912 \n", " 0.146501 0.171049 0.182597 0.188149 0.027206 0.0509994 0.106362 \n", " 0.123126 0.159742 0.17842 0.18647 0.0122972 0.0212409 0.0756531\n", " 0.109446 0.153769 0.177477 0.187861 0.00794715 0.0106811 0.0592337\n", " 0.110437 0.157209 0.181602 0.199191 0.00760048 0.0102725 0.0578393\n", " 0.12786 0.174116 0.212603 0.224344 … 0.00949967 0.0168529 0.0711875\n", " 0.162637 0.229642 0.239075 0.240504 0.0159455 0.03646 0.0963874\n", " 0.213519 0.243945 0.24798 0.248833 0.034717 0.05678 0.128953 \n", " 0.227113 0.24802 0.25198 0.253027 0.0522589 0.0728889 0.154139 \n", " 0.227243 0.249072 0.253659 0.254802 0.0653509 0.0848381 0.158678 \n", " 0.218859 0.246976 0.253587 0.25489 … 0.077123 0.0931501 0.150129 \n", " 0.20009 0.23868 0.251198 0.253374 0.0870894 0.0986414 0.135375 \n", " 0.171752 0.214282 0.241173 0.249576 0.0941833 0.102005 0.122127 \n", " ⋮ ⋱ ⋮ \n", " 0.243645 0.266408 0.272132 0.27442 0.143874 0.153889 0.192127 \n", " 0.232941 0.263818 0.271575 0.274634 … 0.136259 0.145793 0.178324 \n", " 0.218862 0.258734 0.269639 0.273994 0.124414 0.133259 0.162822 \n", " 0.207761 0.252187 0.266322 0.272508 0.112413 0.120254 0.151197 \n", " 0.205519 0.245682 0.261585 0.269889 0.104098 0.110295 0.148132 \n", " 0.210889 0.239528 0.255102 0.26534 0.0995502 0.104902 0.155651 \n", " 0.215267 0.233126 0.246337 0.257285 … 0.0974043 0.105702 0.172506 \n", " 0.214845 0.226199 0.235345 0.244003 0.0962017 0.118279 0.188907 \n", " 0.211744 0.219145 0.224139 0.228365 0.0954954 0.13663 0.194512 \n", " 0.207337 0.212666 0.215214 0.216728 0.0957045 0.145135 0.192853 \n", " 0.201377 0.205904 0.206979 0.207026 0.0927126 0.140446 0.186037 \n", " 0.191947 0.197494 0.198267 0.198624 … 0.0797885 0.123041 0.171795 " ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "include(\"NtSolutions/inverse_2_deconvolution_variational/exo4.jl\")" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the result." ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "PyObject " ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "imageplot(clamP(fBest), string(\"TV deconvolution, SNR = \", string( round(snr(f0, fBest), 2) ), \"dB\") )" ] }, { "cell_type": "raw", "metadata": { "collapsed": false, "deletable": true, "editable": true }, "source": [ "" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Julia 0.5.0", "language": "julia", "name": "julia-0.5" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "0.5.0" } }, "nbformat": 4, "nbformat_minor": 0 }