{"nbformat_minor": 0, "worksheets": [{"cells": [{"source": ["Rank Filters for Image Processing\n", "=================================\n", "\n*Important:* Please read the [installation page](http://gpeyre.github.io/numerical-tours/installation_matlab/) 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"], "metadata": {}, "cell_type": "markdown"}, {"source": ["This numerical tour explores non-linear local filters that proceeds by\n", "ordering the pixels in a neighboorhood and selecting a given ranked\n", "entry."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "text": ["[\bWarning: Function isrow has the same name as a MATLAB builtin. We suggest you\n", "rename the function to avoid a potential name conflict.]\b \n", "[\b> In path at 110\n", " In addpath at 87\n", " In pymat_eval at 38\n", " In matlabserver at 27]\b \n", "[\bWarning: Function isrow has the same name as a MATLAB builtin. We suggest you\n", "rename the function to avoid a potential name conflict.]\b \n", "[\b> In path at 110\n", " In addpath at 87\n", " In pymat_eval at 38\n", " In matlabserver at 27]\b \n", "[\bWarning: Function isrow has the same name as a MATLAB builtin. We suggest you\n", "rename the function to avoid a potential name conflict.]\b \n", "[\b> In path at 110\n", " In addpath at 87\n", " In pymat_eval at 38\n", " In matlabserver at 27]\b \n"], "output_type": "display_data"}], "prompt_number": 2, "cell_type": "code", "language": "python", "metadata": {}, "input": ["addpath('toolbox_signal')\n", "addpath('toolbox_general')\n", "addpath('solutions/denoisingadv_7_rankfilters')"]}, {"source": ["Continuous Rank Filtering\n", "-------------------------\n", "We consider an image $f : [0,1]^2 \\rightarrow \\RR$.\n", "\n", "\n", "For any $\\beta \\in [0,1]$, we define the rank filter\n", "$\\phi_\\be^B$ of order $\\beta$ associated to a set $B$ to be\n", "$$ g = \\phi_\\beta^B(f)\n", " \\qwhereq\n", " g(x) = \\inf \\: \\enscond{t \\in \\RR}{\n", " \\mu( f^{-1}(]-\\infty,t]) \\cap x+B ) \\geq \\mu(B)/2 }. $$\n", "where $\\mu$ is the Lebesgue measure on $\\RR$.\n", "\n", "\n", "One usually assumes that $B$ is the ball of radius $\\epsilon>0$\n", "$$ B = B_\\epsilon = \\enscond{x}{\\norm{x} \\leq \\epsilon}. $$\n", "\n", "\n", "When $\\be=0$ (resp. $\\be=1$, resp.\n", "$\\be=1/2$), then $g(x)$ is the miniminimum\n", "(resp. maximum, resp. median) value of $f$ in a small neighboorhood of\n", "radius $\\epsilon$\n", "$$ \\phi_0^{B_\\epsilon}(f)(x) = \\umin{\\norm{y-x} \\leq \\epsilon} f(y), $$\n", "$$ \\phi_{1/2}^{B_\\epsilon}(f)(x) = \\umax{\\norm{y-x} \\leq \\epsilon} f(y), $$\n", "$$ \\phi_{1}^{B_\\epsilon}(f)(x) = \\underset{\\norm{y-x} \\leq \\epsilon}{\\text{median}} f(y). $$\n", "\n", "\n", "The operator $\\phi_\\beta^B$ is contrast-invariant, meaning that it\n", "computes with increasing functions $ \\psi : \\RR \\rightarrow \\RR $\n", "$$ \\phi_\\beta^B \\circ \\psi = \\psi \\circ \\phi_\\beta^B. $$\n", "The axiomatic study of contrast invariant operator was initiated in the\n", "comunity of mathematical morphology, see [Matheron75](#biblio), [Tukey77](#biblio), [Serra82](#biblio).\n", "\n", "\n", "Note also that there exist generalization of rank filters (and in\n", "particular the median filter) to vector valued images\n", "$ f : [0,1]^2 \\rightarrow \\RR^d$. Since the notion of rank does not\n", "exists anymore, one has to rely on variational caracteriation of the\n", "median, see for instance [CasSapChu00](#biblio).\n", "\n", "\n", "The medial filtering is the most popular rank filter.\n", "It is particularly efficient to remove impulse noise,\n", "see for instance [Piterbarg84](#biblio), [FanHall94](#biblio).\n", "See also [AriasDon99](#biblio) for a theoritical analysis of median\n", "filtering and of a two-stage iterated version.\n", "\n", "Patches in Images\n", "-----------------\n", "We apply rank filters to discretized images by interpreting them as\n", "piecewise constant functions.\n", "\n", "\n", "Size $N = n \\times n$ of the image."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 3, "cell_type": "code", "language": "python", "metadata": {}, "input": ["n = 256;"]}, {"source": ["We load an image $f_0 \\in \\RR^N$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 4, "cell_type": "code", "language": "python", "metadata": {}, "input": ["name = 'hibiscus';\n", "f0 = load_image(name, n);\n", "f0 = rescale(crop( sum(f0,3) ,n));"]}, {"source": ["Display $f_0$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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oAJ8zXhdeCJ/xNji5BSjPj8eCj54LxcwEd9tqGQtQcQHOXNqTSta9KF4Kubze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2LL3t4esgO82naON5SOhxmpAbvQQQeH1dVVUiA0pOj3+1r0+lCrvNVq0QbQzOA9Z7NZsb9EKgNj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\n", "output_type": "display_data"}], "prompt_number": 5, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "imageplot(f0);"]}, {"source": ["Noise level $\\si$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 6, "cell_type": "code", "language": "python", "metadata": {}, "input": ["sigma = .04;"]}, {"source": ["Generate a noisy image $f=f_0+\\epsilon$ where $\\epsilon \\times\n", "\\Nn(0,\\si^2\\text{Id}_N)$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 7, "cell_type": "code", "language": "python", "metadata": {}, "input": ["f = f0 + randn(n,n)*sigma;"]}, {"source": ["Display $f$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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8zUTkY2Mks812mYuMolAozOdzJw/sm5LjA3ujJFCc8XgsT9VyueSuxNcitoTs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M6dOwqAVyoVltP+/r5oAbbt87ftBvZam6L5Pp+PRdxqtU5PT7EyPp/v0aNHwj2zDzUajWw2yyo/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\n43NmSr/fr9VqKqLXiFoul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ha2Kx2X+jZRjyo7UXvBUCikaFYwGMTsBQKBeDwulmGVxkvx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\nXsIZMAcHBweHvcT/AhiVAjEeJ5riAAAAAElFTkSuQmCC\n", "output_type": "display_data"}], "prompt_number": 8, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "imageplot(clamp(f));"]}, {"source": ["For simplicity, we consider the case where\n", "the set $B$ is a square of $w_1 \\times w_2$ pixels.\n", "where we denote $w$ to be the half width of the patches,\n", "and $w_1=2w+1$ the full width."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 9, "cell_type": "code", "language": "python", "metadata": {}, "input": ["w = 3;\n", "w1 = 2*w+1;"]}, {"source": ["We define the patch extraction operator\n", "$$ p = p_x(f) \\in \\RR^{w_1 \\times w_1}$\n", "\\qwhereq \\forall -w \\leq s_1,s_2 \\leq w, \\quad p(s) = f(x+s). $$\n", "\n", "\n", "We now define the function $\\Pi(f) = (p_x(f))_x $\n", "that extracts all possible patches.\n", "\n", "\n", "We set up large $(n,n,w_1,w_1)$ matrices to index the the X and Y\n", "position of the pixel to extract."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 10, "cell_type": "code", "language": "python", "metadata": {}, "input": ["[Y,X] = meshgrid(1:n,1:n);\n", "[dY,dX] = meshgrid(-w:w,-w:w);\n", "dX = reshape(dX, [1 1 w1 w1]);\n", "dY = reshape(dY, [1 1 w1 w1]);\n", "X = repmat(X, [1 1 w1 w1]) + repmat(dX, [n n 1 1]);\n", "Y = repmat(Y, [1 1 w1 w1]) + repmat(dY, [n n 1 1]);"]}, {"source": ["We handle boundary condition by reflexion"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 11, "cell_type": "code", "language": "python", "metadata": {}, "input": ["X(X<1) = 2-X(X<1); Y(Y<1) = 2-Y(Y<1);\n", "X(X>n) = 2*n-X(X>n); Y(Y>n) = 2*n-Y(Y>n);"]}, {"source": ["Patch extractor operator $\\Pi$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 12, "cell_type": "code", "language": "python", "metadata": {}, "input": ["Pi = @(f)reshape( f(X + (Y-1)*n), [n n w1*w1] );"]}, {"source": ["We store the patches $\\Pi(f)$ as a $n \\times n \\times w_1^2$ matrix $P$\n", "such that, for each pixel $x$, $P(x)$ is a vector of size $w_1^2$\n", "storing the entries of $p_x(f)$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 13, "cell_type": "code", "language": "python", "metadata": {}, "input": ["P = Pi(f);"]}, {"source": ["Display some example of patches"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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"output_type": "display_data"}], "prompt_number": 14, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "for i=1:16\n", " x = floor( rand*(n-1)+1 );\n", " y = floor( rand*(n-1)+1 );\n", " imageplot( reshape(P(x,y,:,:), w1,w1), '', 4,4,i );\n", "end"]}, {"source": ["Linear Filter\n", "-------------\n", "A linear filter (convolution) can be computed using this patch\n", "representation as\n", "$$ g(x) = \\sum_{i} \\la_i p_x(f)_i. $$\n", "\n", "\n", "In the case where $\\la_i=1/w_1^2$, this\n", "defines the mean value inside the patch:\n", "$$ g(x) = \\frac{1}{w_1^2} \\sum_{i} p_x(f)_i. $$"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 15, "cell_type": "code", "language": "python", "metadata": {}, "input": ["Pmean = @(f)mean(Pi(f),3);"]}, {"source": ["Display it."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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GExzXPA2ASpwnQvFkRX0rv4vqxrVq25uMTr2+vurAxmxOe/myHVOiaIUYKftaTnxXWfY+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\nq0MhF9gAbw6fz/Xhu5mjbH1Cj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"output_type": "display_data"}], "prompt_number": 16, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "imageplot(Pmean(f));"]}, {"source": ["Note that this is not a rank filter (this a linear filter) and that it is\n", "not contrast invariant. This is shown by displaying\n", "$$ \\phi_\\beta^B(f) - \\psi^{-1} \\circ \\phi_\\beta^B \\circ \\psi(f) $$\n", "which is non-zero."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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bRyQLX2gg7exwxGZcvAUZFB9YQUFBQcGLRLHATo0gVCnYbU/z5Gr4Mn7F7pcw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\naNUI7FTZoTgGSAk4RUeHvTqz8KTTzwhVqlz/a+eoH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"output_type": "display_data"}], "prompt_number": 17, "cell_type": "code", "language": "python", "metadata": {}, "input": ["p = 100;\n", "psi = @(f)f.^(1/p);\n", "ipsi = @(f)f.^p;\n", "imageplot(Pmean(abs(f)) - ipsi(Pmean(psi(abs(f)))));"]}, {"source": ["Opening and Closing Rank Filters\n", "--------------------------------\n", "We now come back to the discrete computation of a rank filter $\\phi_\\be^B$\n", "for $B$ a square of width $w_1 \\times w_1$ pixels.\n", "\n", "\n", "It is defined as $g=\\phi_\\beta^B(f)$ where\n", "$$ g(x) = \\text{rank}_{r(\\beta)}( p_x(f) ) $$\n", "where $\\text{rank}_r(v)$ extracted the element of order $k$ in the\n", "sorted value of $v \\in \\RR^Q$ (here $Q=w_1^2$). More precisely, we denote\n", "$$ v_{\\si(1)} \\leq v_{\\si(2)} \\leq \\ldots \\leq v_{\\si(Q)} $$\n", "where $\\si \\in \\Sigma_Q$ is an ordering permutation, which can be\n", "computed in $ O(N \\log(N)) $ operations with the QuickSort algorithm.\n", "Then the ranked valued is\n", "$$ \\text{rank}_r(v) = v_{\\si(r)}. $$\n", "\n", "\n", "In order to be consistent with the continuous definition of the\n", "rank filter, one should define the rank as\n", "$$ r=r(\\beta) = \\lfloor Q r \\rfloor. $$"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 18, "cell_type": "code", "language": "python", "metadata": {}, "input": ["r = @(beta)min(ceil(beta*w1*w1)+1,w1*w1);"]}, {"source": ["Shortcut for the rank filter."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 19, "cell_type": "code", "language": "python", "metadata": {}, "input": ["subsample = @(x,s)x(:,:,s);\n", "phi = @(f,beta)subsample(sort(Pi(f), 3), r(beta));"]}, {"source": ["__Exercise 1__\n", "\n", "Compute the rank filter for several values of $\\beta$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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hgGI59o6g6enpWHF69iII0UFA+r4PeKRzDm0gJgewZwRGLCYEQvQdXt1arUZ7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0FawsAgFohhwIuLi5ubm8GkjxZ3x71AqVD2DK+wZ5LJ6OXyVSoI7AobGxtbW1uYMeqOnEnMGJaY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q/GTY8sWWBx54AMjGXC4HzkZg60FfSRSJ0+Zb3W4XnUuBdwc/XjqdBrQSMWE6hXzsQRBgFcHQ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\neUqog0eFxO9A2wR7ht5mXc+kdsNDfBLfEmp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"output_type": "display_data"}], "prompt_number": 20, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo1()"]}, {"collapsed": false, "outputs": [], "prompt_number": 21, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["The case $\\beta=0$ corresponds to the closing operator from\n", "mathematical morphology (min filter)."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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16qNHj8o3Q1UdakHnTZwfCycRr6Rt/HIkuRqoqjhcA+LBKOAtl19BECxLgNEW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"output_type": "display_data"}], "prompt_number": 22, "cell_type": "code", "language": "python", "metadata": {}, "input": ["closing = @(f)phi(f,0);\n", "clf;\n", "imageplot(closing(f));"]}, {"source": ["The case $\\beta=1$ corresponds to the opening operator from\n", "mathematical morphology (max filter)."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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3GIaJbL8FeV8KMoLxGnlBseb5GrrhWaRIV08khQRYqaR7/Wq1Gu+7Mp+qYOYV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\ngg==\n", "output_type": "display_data"}], "prompt_number": 23, "cell_type": "code", "language": "python", "metadata": {}, "input": ["opening = @(f)phi(f,1);\n", "clf;\n", "imageplot(opening(f));"]}, {"source": ["__Exercise 2__\n", "\n", "Compute a closing followed by an opening."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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PZ2lDe7Iu2IJ5BGYQzSmYx8yHWazvMcnvJP2en4XVIaIgCDJN2fouRH6XAPhV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"output_type": "display_data"}], "prompt_number": 24, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo2()"]}, {"collapsed": false, "outputs": [], "prompt_number": 25, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["__Exercise 3__\n", "\n", "Compute an opening followed by a closing."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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JSIQB1Ot1UBOnpqbW19ehK6Q+Odd1g4tivrts2461PyE/y20yQPHy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xEiow\nQgghVkIFRgghxEqowAghhFgJFRghhC191DkAAAC7SURBVBAroQIjhBBiJVRghBBCrIQKjBBCiJVQ\ngRFCCLESKjBCCCFWQgVGCCHESqjACCGEWAkVGCGEECuhAiOEEGIlVGCEEEKshAqMEEKIlVCBEUII\nsRIqMEIIIVZCBUYIIcRKqMAIIYRYCRUYIYQQK6ECI4QQYiVUYIQQQqyECowQQoiVUIERQgixEiow\nQgghVkIFRgghxEqowAghhFgJFRghhBAroQIjhBBiJVRghBBCrIQKjBBCiJX8H62Q4W/OG6TGAAAA\nAElFTkSuQmCC\n", "output_type": "display_data"}], "prompt_number": 26, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo3()"]}, {"collapsed": false, "outputs": [], "prompt_number": 27, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["__Exercise 4__\n", "\n", "Perform iterated opening and closing."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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iEZSTF6uTAMq31G63setZ/hUf+9jH/uEf/mGYthucRCIxaCp0FAd46KGHGo3G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\nIQgGYT3jZ3uCSqXik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CQkBhKSgUlISEhIDCQkA5OQkJCQGEhIBiYhISEhMZCQDExCQkJC\nYiAhGZiEhISExEBCMjAJCQkJiYGEZGASEhISEgMJycAkJCQkJAYSkoFJSEhISAwkJAOTkJCQkBhI\nSAYmISEhITGQkAxMQkJCQmIgIRmYhISEhMRAQjIwCQkJCYmBhGRgEhISEhIDCcnAJCQkJCQGEpKB\nSUhISEgMJCQDk5CQkJAYSEgGJiEhISExkJAMTEJCQkJiICEZmISEhITEQEIyMAkJCQmJgYRkYBIS\nEhISAwnJwCQkJCQkBhKSgUlISEhIDCQkA5OQkJCQGEhIBiYhISEhMZCQDExCQkJCYiAhGZiEhISE\nxEBCMjAJCQkJiYGEZGASEhISEgMJycAkJCQkJAYSkoFJSEhISAwkJAOTkJCQkBhISAYmISEhITGQ\nkAxMQkJCQmIgIRmYhISEhMRAQjIwCQkJCYmBhGRgEhISEhIDCcnAJCQkJCQGEpKBSUhISEgMJCQD\nk5CQkJAYSEgGJiEhISExkJAMTEJCQkJiICEZmISEhITEQEIyMAkJCQmJgYRkYBISEhISAwnJwCQk\nJCQkBhKSgUlISEhIDCQkA5OQkJCQGEhIBiYhISEhMZCQDExCQkJCYiAhGZiEhISExEBCMjAJCQkJ\niYGEZGASEhISEgMJycAkJCQkJAYSkoFJSEhISAwkJAOTkJCQkBhISAYmISEhITGQkAxMQkJCQmIg\nIRmYhISEhMRA4v8DHHxG90JVW3kAAAAASUVORK5CYII=\n", "output_type": "display_data"}], "prompt_number": 28, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo4()"]}, {"collapsed": false, "outputs": [], "prompt_number": 29, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Median Filter\n", "-------------\n", "The median filter corresponds to the case where $\\be=1/2$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 30, "cell_type": "code", "language": "python", "metadata": {}, "input": ["medfilt = @(f)phi(f,1/2);"]}, {"source": ["Display the result."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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D9/Lm5kAcQgcScrKGFCuWdvFmkghT5GLFdTvX35/kn3gMYKhz97KzltUg/TVk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\n4fDk5IS+5jjdptPp+fk5zR7sjLoIrtdrdTzD+Vi3u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"output_type": "display_data"}], "prompt_number": 31, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "imageplot(medfilt(f));"]}, {"source": ["Iterated median filtering computes\n", "$$ f^{(\\ell+1)} = \\phi_{1/2}^B( f^{(\\ell)} ). $$\n", "As already mentionned, one can show that a properly\n", "\n", "\n", "In the case where $f$ is of class $C^3$ and $\\nabla f(x) \\neq 0$,\n", "one has the following Taylor expansion\n", "$$ \\phi_{1/2}^{B_\\epsilon}(x) =\n", " f(x) + \\frac{\\epsilon^2}{6} \\norm{\\nabla f(x)}$\n", " \\text{Curv}(f)(x) + O(\\epsilon^{7/3}) $$\n", "where the curvature operator is\n", "$$ \\text{Curv}(f) = \\text{div}\\pa{\n", " \\frac{\\nabla f}{\\norm{\\nabla f}}$\n", " }. $$\n", "\n", "\n", "Intuitively, it means that if one iterates the operator\n", "$ \\phi_{1/2}^{B_\\epsilon} $ with a proper re-scaling $\\ell \\leftrightarrow t$\n", "and when\n", "$\\epsilon \\rightarrow 0$, then $f^{(\\ell)}$ tends to the solution to the\n", "famous mean-curvature motion PDE\n", "$$ \\pd{f}{t} = \\norm{\\nabla f} \\text{Curv}(f). $$\n", "\n", "\n", "This conjecture was initially mentionned in [BeMerOsh92](#biblio).\n", "This was rigorously proved in [Ishii95](#biblio), [BarGeorg](#biblio),\n", "[Evans93](#biblio) using the machinery of viscosity solutions.\n", "\n", "\n", "Similar result holds for other class of contrast invariant operator, see\n", "for instance [Cao98](#biblio) for affine invariant operators, and [GuiMoRy04](#biblio)\n", "for an axiomatic and general framework."], "metadata": {}, "cell_type": "markdown"}, {"source": ["__Exercise 5__\n", "\n", "Perform iterated median filtering, and store the output in |f1|."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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g/MjCwK0uXLjw7LPP7u7uXr9+fWtry8S/TxZPH73ucHofVI1QV+U+mJdMaLUW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\nS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MuazWatVkuSBC2gsN1j7Q1Kr0ig475CrbGH89ByQzFuh0yHjaXaYsd68HEfTHxuNpvw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\nQtoLpPe06l4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"output_type": "display_data"}], "prompt_number": 32, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo5()"]}, {"collapsed": false, "outputs": [], "prompt_number": 33, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Display."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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z2RhhJjt5zBVjYaa58eIGjOhg+JiwFULfV18I15JoRAqwUwM2IZZkfPSUN3GV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zhPGrNVpZf/5s1EXzb/YApg49xjSS9FgcFDGzgIiLRdg4HHux33tDyZWc+YLjw52afjnQa55DWG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\n8MWLF3rXf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"output_type": "display_data"}], "prompt_number": 34, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "imageplot(f1);"]}, {"source": ["Bibliography\n", "------------\n", "\n", "\n", "\n", "* [Matheron75] G. 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