{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Rank Filters for Image Processing\n", "=================================\n", "\n", "*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", "$\\newcommand{\\Om}{\\Omega}$" ] }, { "cell_type": "markdown", "metadata": {}, "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." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from __future__ import division\n", "\n", "import numpy as np\n", "import scipy as scp\n", "import pylab as pyl\n", "import matplotlib.pyplot as plt\n", "\n", "from nt_toolbox.general import *\n", "from nt_toolbox.signal import *\n", "\n", "import warnings\n", "warnings.filterwarnings('ignore')\n", "\n", "%matplotlib inline\n", "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "markdown", "metadata": {}, "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." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "n = 256" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We load an image $f_0 \\in \\RR^N$." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "f0 = load_image(\"nt_toolbox/data/hibiscus.bmp\",n)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display $f_0$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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paR9EvGmLxUL1ej2gJs/72t/fTwQjJIWS8xhQ+CUQTblcTuTHgZb4vFKpJKKW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\n4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nY2ZID7e2i+uLiobrerbrcbWWAIxBMTEyqXy3r99df1K7/yK+p0OrFgwW+l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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (5,5))\n", "imageplot(f0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Noise level $\\si$." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "sigma = .04" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Generate a noisy image $f=f_0+\\epsilon$ where $\\epsilon \\times\n", "\\Nn(0,\\si^2\\text{Id}_N)$." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from numpy import random\n", "f = f0 + sigma*random.standard_normal((n,n))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display $f$." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ldx6PB+fn5ypicV9ubm6QTqeRTqfR6XQwmUyQy+UUyTMK4O9erVYqGjFFms1m+KM/+iM8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\nPbx48UI/+MEPlM/nJcnUGqgh8MYozer1epfbMP6BzFZot9sqFos2G4VMzOH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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (5,5))\n", "imageplot(clamp(f))" ] }, { "cell_type": "markdown", "metadata": {}, "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." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "w = 3\n", "w1 = 2*w + 1" ] }, { "cell_type": "markdown", "metadata": {}, "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." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [], "source": [ "[X,Y,dX,dY] = np.meshgrid(np.arange(1,n+1),np.arange(1,n+1),np.arange(-w,w+1),np.arange(-w,w+1))\n", "X = X + dX\n", "Y = Y + dY" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We handle boundary condition by reflexion." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [ "X[X < 1] = 2-X[X < 1] \n", "Y[Y < 1] = 2-Y[Y < 1]\n", "X[X > n] = 2*n-X[X > n]\n", "Y[Y > n] = 2*n-Y[Y > n]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Patch extractor operator $\\Pi$." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [], "source": [ "I = (X-1) + (Y-1)*n\n", "for i in range(n//w):\n", " for j in range(n//w):\n", " I[i,j] = np.transpose(I[i,j])\n", " \n", "Pi = lambda f: np.reshape(np.ravel(f)[I],(n,n,w1*w1))" ] }, { "cell_type": "markdown", "metadata": {}, "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 $p_x(f)$." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [], "source": [ "P = Pi(f)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display some example of patches." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from numpy import random\n", "\n", "plt.figure(figsize = (5,5))\n", "\n", "for i in range(16):\n", " x = random.randint(n)\n", " y = random.randint(n)\n", " imageplot(np.reshape(P[x, y],(w1,w1)), '', [4, 4, i+1])" ] }, { "cell_type": "markdown", "metadata": {}, "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", "$$ g(x) = \\frac{1}{w_1^2} \\sum_{i} p_x(f)_i. $$" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [], "source": [ "Pmean = lambda f: np.mean(Pi(f), 2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display it." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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YyZMwsZzvWIbzUs2gtxwH25F6cvbMLIX6bAPHrNrsznqiEdoj+7UZvnXo/OiW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yxmsNlfUj9uI/qq47AZK0t3OsXudac30rV34ji8H83gOF/G+BAmJuzeJ8sjbeqZLm+HAda17+nq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\nBcBVVlnlzcoKgKusssqblf8DIOBNafcZIQUAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (5,5))\n", "imageplot(Pmean(f))" ] }, { "cell_type": "markdown", "metadata": {}, "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." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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N5GDwjl4eYcU/9bzxblaF1WSIDOJUI7VCZ3qfut1u2LGRZYcTWH7961/j/fv3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\nZZGD1l09obTn0QZIhxHrwKtFeTI4VVvSeDwOZyfqDXt6JaX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H2+N8Ps9dD8l2FB2hZPvA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\nr/7m89MZJvAYfM9YVJ2LfN6jE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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "p = 100\n", "psi = lambda f: f**(1/p)\n", "ipsi = lambda f: f**p\n", "\n", "plt.figure(figsize = (5,5))\n", "imageplot(Pmean(abs(f)) - ipsi(Pmean(psi(abs(f)))))" ] }, { "cell_type": "markdown", "metadata": {}, "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", "$$ r=r(\\beta) = \\lfloor Q r \\rfloor. $$" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [], "source": [ "r = lambda beta: min(np.ceil(beta*w1*w1), w1*w1-1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Shortcut for the rank filter." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [], "source": [ "subsample = lambda x,s : x[: , : , s]\n", "phi = lambda f, beta: subsample(np.sort(Pi(f), 2), r(beta))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Exercise 1__\n", "\n", "Compute the rank filter for several values of $\\beta$." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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22GPu8FkALjFoOp3GM888E2FYgO4JAc8995xLBJnJZDA3N4fLly/3LXLJZLJv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zqdzlhUTPuGv9WRjUU62u12Ik3CM/2zykIwWT5B+6IgC5k1r8gsiU59rtKk8ORFQpfE0vmbPBOz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LQLFYTAjP+/fvp1q32Jebm5uO1HCbv7pJCVVcgMHuWY4Ntu39+/edpjc9Pe3GDS1L+/v7iUWP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5cvX7Z2ux1irdgcl5eXLZPJhNIIh4eHIU5DwU8MlPCePI+q+woAGR/tIx+YS78SO+Ytb79R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\nAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/denoisingadv_7_rankfilters/exo1" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The case $\\beta=0$ corresponds to the closing operator from\n", "mathematical morphology (min filter)." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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q53m5z5F+QdZzqj477V80NUe7MQaYpumamSIz3yzLgn6/D+fn58qh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\nMB6PIUkS6bwZBDKd4XCYHfqmKpvw/ibpLwgCCMMQBoOBtPJGx5qhg4k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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "closing = lambda f: phi(f, 0)\n", "plt.figure(figsize = (5,5))\n", "imageplot(closing(f))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The case $\\beta=1$ corresponds to the opening operator from\n", "mathematical morphology (max filter)." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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qxIVsPdCNoUjorKc0bMWsa6heF0v/T6sroWVZ8PLLL8MHH3wQZYngAYVmD52D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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "opening = lambda f: phi(f, 1)\n", "plt.figure(figsize = (5,5))\n", "imageplot(opening(f))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Exercise 2__\n", "\n", "Compute a closing followed by an opening." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Ko9FImy988cUXua4xiiJlTYTsfhOG4QI55V3UPJLXmWUsAy5oNJeCIGBKf9W6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\nAFNNUHSOsTQCpB9O2ZqeqHaXXAzz+Vw78Ve08UkS4Tl8HcdJgwbtdhs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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/denoisingadv_7_rankfilters/exo2" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Exercise 3__\n", "\n", "Compute an opening followed by a closing." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Jos3x05/+FH7v936P+/cki6RarYKu62PEI3KCkD8n9bbJYHd3N7XNgA4VfAd6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\nRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/denoisingadv_7_rankfilters/exo3" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Exercise 4__\n", "\n", "Perform iterated opening and closing." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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I3dK87Jy0msjwuPfeezOf/3ERpKfvu+8+6LqO9fX1wC6qsa6f+hkjgIRwWINS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\nUHAEAoFAIBAIBALB0vD/YuXMjwOL2REAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/denoisingadv_7_rankfilters/exo4" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Median Filter\n", "-------------\n", "The median filter corresponds to the case where $\\be=1/2$." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [], "source": [ "medfilt = lambda f: phi(f, 1/2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the result." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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xfIeNiC4p8Udd455rHyvNSWapu0WuMeLi9//lrtK1csHr5dUEucZAC1fjSaFa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rialEMppEbCdnGOkqjMdwC58nME7840cqNaaLKIC73jXtrS31l9+K7aURx7VndFHSgszGNab5u3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\nSpeOC5L7akfyoR5SxLoTeZGXY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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (5,5))\n", "imageplot(medfilt(f))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Iterated median filtering computes\n", "$$ f^{(\\ell+1)} = \\phi_{1/2}^B( f^{(\\ell)} ). $$\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." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Exercise 5__\n", "\n", "Perform iterated median filtering, and store the output in $f_1$." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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fgzxHHigfir4omqq873IeQ/SUP25l7ErkAUUgqU/cgB005dkCR3WUl9w4xlB1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\nzZMaOa37IWmOXvuvimw/UYxG337Ctl7jThLnRU8GB8anzescuyBoRBZ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gKysrqS2eHiEY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JOTkxnkXA2mzqk6WerQqSG+DMH8PEl14MnJSQrUXE9ehVT2lZd8THKBCH9HzC5kgvzeXACjyIsu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TKs+A2frdWK2RNahifefv2FzYudL5Jf0zU8GyEF7DWkVvVfR5ofpAI/aWJ/R7T6fQUbBBAdVt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bFTIN2hHQSv7mAwsOFwaBcXF8nEYn4e3uTPfe5z9uu//uuu4tvtdkOIjXlQd4bWcAGwq5gA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\nLSvB+9qIw6OkfwzgOPAZPSPKlBpZFk05WSPDu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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/denoisingadv_7_rankfilters/exo5" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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eVtIf9g3UJUkMnbnaqsKlkph3v9qdeNv4bcPzXHp1z/Ems0PFk3A8CTGlCnv3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\nzyM6Lw+1179Owgbxzefz2u5ROdj5ZgjYJolJEJ0NUiCQGigwrMJuyEc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s5cuXtlqtKgI8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