{ "cells": [ { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Non Local Means\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": { "deletable": true, "editable": true }, "source": [ "This numerical tour study image denoising using\n", "non-local means. This algorithm has been\n", "introduced for denoising purposes in [BuaCoMoA05](#biblio)" ] }, { "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": [ "Patches in Images\n", "-----------------\n", "This numerical tour is dedicated to the study of the structure of patches\n", "in images.\n", "\n", "\n", "Size $N = n \\times n$ of the image." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "n = 128;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We load a noisy image $f_0\\in \\RR^N$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "c = [100, 200]\n", "f0 = load_image(\"NtToolBox/src/data/lena.png\")\n", "f0 = rescale(f0[c[1] - Base.div(n, 2) + 1 : c[1] + Base.div(n, 2), c[2] - Base.div(n, 2) + 1 : c[2] + Base.div(n, 2)]);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display $f_0$." ] }, { "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" } ], "source": [ "figure(figsize = (5, 5))\n", "imageplot(f0)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Noise level $\\si$." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "sigma = .04;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "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, "deletable": true, "editable": true }, "outputs": [], "source": [ "using Distributions\n", "f = f0 .+ sigma.*rand(Normal(), n, n);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display $f$." ] }, { "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" } ], "source": [ "figure(figsize = (5,5))\n", "imageplot(clamP(f))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "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, "deletable": true, "editable": true }, "outputs": [], "source": [ "w = 3\n", "w1 = 2*w + 1;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "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.\n", "\n", "Location of pixels to extract." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "include(\"NtToolBox/src/ndgrid.jl\")\n", "\n", "(Y, X, dX, dY) = ndgrid(1 : n, 1 : n, -w : w, -w : w)\n", "\n", "X = X + dX\n", "Y = Y + dY;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We handle boundary condition by reflexion" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "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": { "deletable": true, "editable": true }, "source": [ "Patch extractor operator." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "I = X .+ (Y .- 1)*n\n", "\n", "for k in 1 : Base.div(n, w)\n", " for l in 1 : Base.div(n, w)\n", " I[k, l, :, :] = transpose(I[k, l, :, :])\n", " end\n", "end\n", "\n", "function patch(f)\n", " return f'[I]\n", "end;\n" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Define the patch matrix $P$ of size $(n,n,w_1,w_1)$.\n", "Each $P(i,j,:,:)$ represent an $(w_1,w_1)$ patch extracted around pixel\n", "$(i,j)$ in the image." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "P = patch(f);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display some example of patches." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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i1Pfv3z/qR40aFfUdSd/j9M7gyJEj92r/wAMPRP2pp54a9X/605+iftasWVHfkccffzzqBw8eHPXXXHNN1Kf3RNNbmulnPnz48KjvDE90AJRm6AAozdABUJqhA6A0QwdAaYYOgNIMHQClGToASjN0AJRm6AAozdABUFqXuXX52GOPRf3TTz8d9X/4wx+ifsOGDVE/duzYqF+yZEnUX3fddVHfCKNHj476Xr16Rf2ePXuiPr0pmN6WXL9+fdRfccUVUd8IW7dujfr33nsv6l955ZWonzRpUtQfddRRUT9mzJioT++zNsLixYujPv25mjFjRtQ/88wzUZ/+7lq7dm3Un3XWWVHfGZ7oACjN0AFQmqEDoDRDB0Bphg6A0gwdAKUZOgBKM3QAlGboACjN0AFQmqEDoLQuc+vyuOOOi/odO3ZE/Ztvvhn106ZNi/rBgwdH/bvvvhv1bW1tUd8IO3fujPpBgwZFfc+e2dfzpz/9adT36JH9ndfe3h71ra2tUd+vX7+o78g///nPqD/66KOj/swzz4z6d955J+rT93jNmjVRn943bYTTTz896nft2hX1K1eujPqJEydG/X777Rf106dPj/pGfO//J57oACjN0AFQmqEDoDRDB0Bphg6A0gwdAKUZOgBKM3QAlGboACjN0AFQmqEDoLQuc+syvVE3d+7cqE/vME6YMCHqn3rqqajfs2dP1A8dOjTqG6F79+5Rv3z58qhPb/hdeOGFUZ/e/Lvzzjujfs6cOVHfCK+//nrUb9q0KerT+6DDhw+P+j59+kR9+vq3bdsW9Y24jZnebL388sujfsGCBVF/4oknRn36c3j//fdHfVNTU9TPmDEj6rt180QHQHGGDoDSDB0ApRk6AEozdACUZugAKM3QAVCaoQOgNEMHQGmGDoDSDB0ApXVvb29v39cvAgD2Fk90AJRm6AAozdABUJqhA6A0QwdAaYYOgNIMHQClGToASjN0AJRm6AAozdABUJqhA6A0QwdAaYYOgNIMHQClGToASuu5r1/Af2vx4sVRP2XKlKj/1re+FfVHHHFE1E+YMCHq77rrrqh/7LHHon7z5s1R35EFCxZE/UsvvRT1w4cPj/ohQ4ZE/Q033BD1t99+e9SPGDEi6hvhc5/7XNTvt99+UX/yySdHfXNzc9QfdNBBUb9kyZKoTz+Te+65J+o7cuutt0b97t27o/6jjz6K+nfeeSfqP/jgg6jftGlT1C9cuDDq169fH/XdunmiA6A4QwdAaYYOgNIMHQClGToASjN0AJRm6AAozdABUJqhA6A0QwdAaV3mBFivXr2iPj3RNWrUqKhvbW2N+jvvvDPqN2zYEPXpWZ9GmD9/ftSPHz8+6h944IGoHzp0aNSfffbZUX/33XdH/fe+972ob29vj/qOpOeavvKVr0T9X/7yl6jv06dP1N9yyy1Rn/7cDh48OOob4a233or6MWPGRP2aNWui/vnnn4/61Lp166I+/Qw7wxMdAKUZOgBKM3QAlGboACjN0AFQmqEDoDRDB0Bphg6A0gwdAKUZOgBKM3QAlNZlbl0uXrw46tNbl2vXro369A7jbbfdFvU33XRT1P/gBz+I+kY44IADor5v375R39TUFPVz5syJ+tmzZ0f9tGnTov7KK6+M+kb4+Mc/HvXnn39+1D/00ENRn94f/fGPfxz1Q4YMifr169dHfSOkd3HTW5T9+/eP+vQ9SL9T6f/vgAEDor4zPNEBUJqhA6A0QwdAaYYOgNIMHQClGToASjN0AJRm6AAozdABUJqhA6A0QwdAaV3m1mVbW1vUn3vuuVF/yimnRH1663LevHlRP3ny5KhfsGBB1F977bVR35ExY8ZE/d133x3106dPj/pvf/vbUX/eeedFffr6jzrqqKhvhAkTJkT9M888E/U33HBD1D/xxBNRn96o/eCDD6K+ubk56hvhkEMOifqtW7dGffoZvv/++3v13z/++OOj/stf/nLUd4YnOgBKM3QAlGboACjN0AFQmqEDoDRDB0Bphg6A0gwdAKUZOgBKM3QAlGboACity9y6TO8qpvfW5s6dG/VLliyJ+uuvvz7qn3vuuahfuHBh1DfCxo0bo/6Xv/xl1N98881R39raGvUtLS1RP3Xq1Kg/5phjor4R0juJa9asifq77ror6vv06RP1r732WtRfc801Uf/2229HfSOsW7cu6p988smof/fdd6N+w4YNUZ/ehE2/9x999FHUd4YnOgBKM3QAlGboACjN0AFQmqEDoDRDB0Bphg6A0gwdAKUZOgBKM3QAlGboACity9y6XL16ddRv27Yt6pctWxb13/zmN6N+ypQpUf/QQw9F/b6waNGivfrvT5s2LepHjBgR9aNHj476119/Pep79eoV9Y0wePDgqE9vqg4fPjzqBw4cGPXXXXdd1N96661R/9Zbb0X9F77whajvSHpPdPfu3VG/ffv2qE/vj6Y3XtM7w+nr6QxPdACUZugAKM3QAVCaoQOgNEMHQGmGDoDSDB0ApRk6AEozdACUZugAKM3QAVBal7l1md7MO+KII6L+S1/6UtTff//9Uf+rX/0q6h999NGoHzlyZNQ3wsEHHxz1P//5z6P+2muvjfqePbOv85NPPhn1S5cujfoTTzwx6hthw4YNUf/iiy9G/Te+8Y2o//Of/xz16c/hrFmzon7//feP+kbYsmVL1H/wwQdRn37PTjrppKgfN25c1E+ePDnqhwwZEvWd4YkOgNIMHQClGToASjN0AJRm6AAozdABUJqhA6A0QwdAaYYOgNIMHQClGToASuve3t7evq9fBADsLZ7oACjN0AFQmqEDoDRDB0Bphg6A0gwdAKUZOgBKM3QAlGboACjN0AFQmqEDoDRDB0Bphg6A0gwdAKUZOgBKM3QAlGboACjN0AFQmqEDoDRDB0Bphg6A0gwdAKUZOgBKM3QAlGboACjN0AFQmqEDoDRDB0Bphg6A0gwdAKUZOgBKM3QAlGboACjt/wGm7Oas00eQcgAAAABJRU5ErkJggg==", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize = (5,5))\n", "for i in 1:16\n", " x = rand(1 : n)\n", " y = rand(1 : n)\n", " imageplot(P[x, y, :, :], \"\", [4, 4, i])\n", "end" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Dimensionality Reduction with PCA\n", "---------------------------------\n", "Since NL-means type algorithms require the computation of many distances\n", "between patches, it is advantagous to reduce the dimensionality of the\n", "patch while keeping as much as possible of information.\n", "\n", "\n", "Target dimensionality $d$." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "d = 25;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "A linear dimensionality reduction is obtained by Principal Component\n", "Analysis (PCA) that projects the data on a small number of leading\n", "direction of the covariance matrix of the patches.\n", "\n", "\n", "Turn the patch matrix into an $(w_1*w_1,n*n)$ array, so that each $P(:,i)$\n", "is a $w_1*w_1$ vector representing a patch." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "resh = P -> transpose((reshape(P, (n*n,w1*w1))));" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Operator to remove the mean of the patches to each patch." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "remove_mean = Q -> Q - repeat(mean(Q, 1), inner = (w1*w1, 1));" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Compute the mean and the covariance of the points cloud representing the\n", "patches." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "P1 = remove_mean(resh(P))\n", "C = P1*transpose(P1);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Extract the eigenvectors, sorted by decreasing amplitude." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "(D, V) = eig(C)\n", "D = D[end : -1 : 1]\n", "V = V[:, end : -1 : 1];" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the decaying amplitude of the eigenvalues." ] }, { "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" } ], "source": [ "plot(D, linewidth = 2)\n", "ylim(0, maximum(D))\n", "show()" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the leading eigenvectors - they look like Fourier modes." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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77476hobso77uuuuiPr3D2BzSz6yxsTHqp0yZEvVDhw6N+k6dOkX9G2+8EfXvvfde1Hfp0iXqmzJ+/PioX758edQ/8sgjUX/eeedF/QknnBD16U3YnXbaKeqbw+TJk6N+xYoVUb/33ntH/dy5c6M+vQ+6ZMmSqN93332jfnN4owOgNEMHQGmGDoDSDB0ApRk6AEozdACUZugAKM3QAVCaoQOgNEMHQGmGDoDSWsyty0suuSTqb7311qi//vrroz69vXnuuedG/XbbbRf1w4YNi/rmkN5+fO2116L+1Vdfjfpx48ZF/bp166J+4sSJUb927dqof+ihh6K+Kektx2OOOSbqjz766Ki//PLLo/6uu+6K+hNPPDHqFy1aFPXNoXPnzlG/++67R/2mTZui/thjj436NWvWRP0hhxwS9f369Yv6zeGNDoDSDB0ApRk6AEozdACUZugAKM3QAVCaoQOgNEMHQGmGDoDSDB0ApRk6AErbprGxsXFrP8RXMX/+/Kh//PHHo/6ZZ56J+gceeCDq33333ajv06dP1N9///1RP3To0KhvyuDBg6N+2rRpUd+xY8eo32233aJ+zz33jPqVK1dG/Ysvvhj1zfGjOHfu3Kg//vjjo37p0qVR/8ILL0R9+nN4xRVXRH23bt2i/uOPP476pgwcODDq01uXb731VtQfd9xxUf/YY49F/TnnnBP1v//976N+/fr1Ud+qlTc6AIozdACUZugAKM3QAVCaoQOgNEMHQGmGDoDSDB0ApRk6AEozdACUZugAKK3F3Lq87777oj69SzhhwoSoT+8qnn766VGf3klM70guWrQo6pvStm3bqO/evXvU77XXXlG/cOHCqE8/g02bNkV96ssvv/yv/4wvvvgi6idNmhT1F154YdSntygbGhqifvny5VG/ww47RP2oUaOivinpLcd58+ZF/Yknnhj16V3cK6+8Mup//vOfR/2SJUuifnN4owOgNEMHQGmGDoDSDB0ApRk6AEozdACUZugAKM3QAVCaoQOgNEMHQGmGDoDSWsytSwDYHN7oACjN0AFQmqEDoDRDB0Bphg6A0gwdAKUZOgBKM3QAlGboACjN0AFQmqEDoDRDB0Bphg6A0gwdAKUZOgBKM3QAlNawtR/gq2poyB717LPPjvozzjgj6nfYYYeo/+KLL6K+devWUf/GG29E/TnnnBP1TTn44IOj/utf/3rUL1q0KOpHjBgR9UuWLIn6v//971F/0003Rf1RRx0V9U1J/z/KXbt2jfrLL7886pctWxb1Z555ZtSPHj066u+9996o/9rX/vt3gTFjxkT9k08+GfXf/va3o37s2LFR36FDh6j/6KOPon777beP+nXr1kV9q1be6AAoztABUJqhA6A0QwdAaYYOgNIMHQClGToASjN0AJRm6AAozdABUFqLOQF23nnnRf2GDRui/he/+EXUr1+/PuqPOeaYqO/Ro0fUv/LKK1HfHCfA+vbtG/WTJk2K+vQZL7300qi/+eabo75jx45R//bbb0d9c5wAu/vuu6P+k08+ifr0HNR1110X9YMHD476BQsWRH36c3LEEUdEfVOuvvrqqG/Xrl3Uf/DBB1GfnjVLf86nTp0a9QMGDIj6zeGNDoDSDB0ApRk6AEozdACUZugAKM3QAVCaoQOgNEMHQGmGDoDSDB0ApRk6AErbprGxsXFrP8RXkd66vPDCC6N+7dq1Ub9w4cKo/9a3vhX1nTp1ivobbrgh6keOHBn1TUnvHqb3RxsaslOsO+644xbtly5dGvXpncSZM2dGfVOeeOKJqB8yZEjU77vvvlF/wAEHRP3GjRujvkuXLlGf3k9N7zw2pX379lF/8cUXR/3rr78e9S+88ELUd+/ePepnz54d9V988UXUf/bZZ1HfqpU3OgCKM3QAlGboACjN0AFQmqEDoDRDB0Bphg6A0gwdAKUZOgBKM3QAlGboACitxdy6/NrXsk3eYYcdoj79GD7//POo//LLL7donz7/1vhn79q1a9S/+OKLUZ/eB122bFnUH3fccVH/0ksvRX3btm2jvil77rln1Kd3FX/9619H/X333Rf1v/zlL6M+vYF75513Rv2aNWuiviknn3xy1E+dOjXqf/e730X9P/7xj6g//fTTo3716tVRv2TJkqgfN25c1Ldq5Y0OgOIMHQClGToASjN0AJRm6AAozdABUJqhA6A0QwdAaYYOgNIMHQClGToASmsxty6HDx8e9ek9tE8//TTqH3300ajffvvto75Lly5R/7e//S3qx4wZE/VNOfXUU6P+8ccfj/rDDz886tN/w0WLFkX9pk2boj69t7pu3bqob8qrr74a9ffff3/Uv/zyy1G/8847R/37778f9UuXLo36u+++O+rTO5VNWbt2bdT37t076p944omo/+53vxv1CxcujPqddtop6j/77LOo3xze6AAozdABUJqhA6A0QwdAaYYOgNIMHQClGToASjN0AJRm6AAozdABUJqhA6C0hq39AF9VesPv5ptvjvoPP/ww6idPnhz1n3zySdQfffTRUd+tW7eobw4nnHBC1G+77bZR/53vfCfq0/umF198cdT/5S9/ifof/vCHUd8c0u/BI488EvVTp06N+l69ekX9+PHjo37YsGFRv3LlyqhvDtdee23Ud+3aNeqnT58e9YsXL476O+64I+qPPPLIqL/gggui/rbbbov6Vq280QFQnKEDoDRDB0Bphg6A0gwdAKUZOgBKM3QAlGboACjN0AFQmqEDoDRDB0BpLebW5bnnnhv1PXr0iPqPP/446o8//viob2jIPupHH3006m+99daoHzNmTNQ3pXfv3lGf3opM7xKef/75UT9ixIio79u3b9Q/99xzUd8c2rVrF/UnnXRS1C9btizqL7vssqh///33o75Dhw5RP3jw4KhvDlOmTIn6zz77LOrbtm0b9X369In6jh07Rn3//v2jfv78+VG/ObzRAVCaoQOgNEMHQGmGDoDSDB0ApRk6AEozdACUZugAKM3QAVCaoQOgNEMHQGnbNDY2Nm7thwCALcUbHQClGToASjN0AJRm6AAozdABUJqhA6A0QwdAaYYOgNIMHQClGToASjN0AJRm6AAozdABUJqhA6A0QwdAaYYOgNIMHQClGToASjN0AJRm6AAozdABUJqhA6A0QwdAaYYOgNIMHQClGToASjN0AJRm6AAozdABUJqhA6A0QwdAaYYOgNIMHQCl/Q8nxCfUuqGdGwAAAABJRU5ErkJggg==", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize = (5,5))\n", "for i in 1 : 16\n", " imageplot(abs(reshape(V[:, i], (w1,w1))'), \"\", [4, 4, i])\n", "end" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Patch dimensionality reduction operator." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "iresh = Q -> reshape(Q', (n, n, d))\n", "descriptor = f -> iresh(V[: , 1 : d]'*remove_mean(resh(P)));" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Each $H(i,j,:)$ is a $d$-dimensional descriptor\n", "of a patch." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "H = descriptor(f);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Non-local Filter\n", "----------------\n", "NL-means applies, an adaptive averaging kernel\n", "is computed from patch distances to each pixel location.\n", "\n", "\n", "We denote $H_{i} \\in \\RR^d$ the descriptor at pixel $i$.\n", "We define the distance matrix\n", "$$ D_{i,j} = \\frac{1}{w_1^2}\\norm{H_i-H_j}^2. $$\n", "\n", "\n", "\n", "Operator to compute the distances $(D_{i,j})_j$ between the patch around $i=(i_1,i_2)$\n", "and all the other ones." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "distance = i -> sum((H - repeat(reshape(H[i[1], i[2], :], (1, 1, 25)), inner = [n, n, 1])).^2, 3)./(w1*w1);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The non-local mean filter computes a denoised image $\\tilde f$ as :\n", "\n", "$$ \\tilde f_i = \\sum_j K_{i,j} f_j $$\n", "where the weights $K$ are computed as :\n", "$$ K_{i,j} = \\frac{ \\tilde K_{i,j} }{ \\sum_{j'} \\tilde K_{i,j'} }\n", " \\qandq\n", " \\tilde K_{i,j} = e^{-\\frac{D_{i,j}}{2\\tau^2}} . $$\n", "\n", "\n", "\n", "The width $\\tau$ of the Gaussian is very important and should be adapted to match\n", "the noise level.\n", "\n", "\n", "\n", "Compute and normalize the weight." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "normalize = K -> K./sum(K)\n", "kernel = (i, tau) -> normalize(exp(-distance(i)./(2*tau^2)));" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Compute a typical example of kernel for some pixel position $(x,y)$." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "tau = .05\n", "i = [84, 73]\n", "D = distance(i)\n", "K = kernel(i, tau);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the squared distance and the kernel." ] }, { "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": [ "figure(figsize = (10,10))\n", "imageplot(D[:, :], \"D\", [1, 2, 1])\n", "imageplot(K[:, :], \"K\", [1, 2, 2])" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Localizing the Non-local Means\n", "------------------------------\n", "We set a \"locality constant\" $q$ that set the maximum distance between\n", "patches to compare. This allows to speed up computation, and makes\n", "NL-means type methods semi-global (to avoid searching in all the image)." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "q = 14;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Using this locality constant, we compute the distance between patches\n", "only within a window.\n", "Once again, one should be careful about boundary conditions." ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "selection = i -> [clamP(i[1] - q : i[1] + q, 1, n)'; clamP(i[2] - q : i[2] + q, 1, n)'];" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Compute distance and kernel only within the window." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "function distance_0(i,sel)\n", " H1 = (H[sel[1, :], :, :])\n", " H2 = (H1[:, sel[2, :], :])\n", " return sum((H2 - repeat(reshape(H[i[1], i[2], :], (1, 1, length(H[i[1], i[2], :]))), inner = [length(sel[1, :]), length(sel[1, :]), 1])).^2, 3)/w1*w1\n", "end\n", "\n", "distance = i -> distance_0(i, selection(i))\n", "kernel = (i, tau) -> normalize(exp(-distance(i)./(2*tau^2)));\n" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Compute a typical example of kernel for some pixel position $(x,y)$." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the squared distance and the kernel." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "sel = selection(i)\n", "D = distance(i)\n", "K = kernel(i, tau);" ] }, { "cell_type": "code", "execution_count": 31, "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": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "figure(figsize = (10,10))\n", "\n", "imageplot(D[:, :], \"D\", [1, 2, 1])\n", "imageplot(K[:, :], \"K\", [1, 2, 2])" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The NL-filtered value at pixel $(x,y)$ is obtained by averaging the values\n", "of $f$ with the weight $K$." ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "function NLval_0(K,sel)\n", " f_temp = f[sel[1, :], :]\n", " return sum(K.*f_temp[:, sel[2, :]])\n", "end\n", "\n", "NLval = (i, ta) -> NLval_0(kernel(i, tau), selection(i));\n" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We apply the filter to each pixel location\n", "to perform the NL-means algorithm." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "(Y, X) = meshgrid(0 : n - 1, 0 : n - 1)\n", "\n", "function arrayfun(f, X, Y)\n", " n = size(X)[1]\n", " p = size(Y)[1]\n", " R = zeros(n, p)\n", " for k in 1:n\n", " for l in 1:p\n", " R[k,l] = f(k,l)\n", " end\n", " end\n", " return R\n", "end\n", "\n", "NLmeans = tau -> arrayfun((i1, i2) -> NLval([i1,i2], tau), X, Y);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the result for some value of $\\tau$." ] }, { "cell_type": "code", "execution_count": 34, "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": [ "tau = .03\n", "\n", "figure(figsize = (5,5))\n", "imageplot(NLmeans(tau))" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "tau = .03;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 1__\n", "\n", "Compute the denoising result for several values of $\\tau$ in order to\n", "determine the optimal denoising that minimizes $\\norm{\\tilde f - f_0}$." ] }, { "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" } ], "source": [ "include(\"NtSolutions/denoisingadv_6_nl_means/exo1.jl\")" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the best 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": [ "figure(figsize = (5,5))\n", "imageplot(clamP(fNL))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 2__\n", "\n", "Explore the influence of the $q$ and $w$ parameters." ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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[], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Bibliography\n", "------------\n", "\n", "\n", "\n", "* [BuaCoMoA05] Buades, B. Coll, J.f Morel, [A review of image denoising algorithms, with a new one][1], SIAM Multiscale Modeling and Simulation, Vol 4 (2), pp: 490-530, 2005.\n", "\n", "[1]:http://dx.doi.org/10.1137/040616024" ] }, { "cell_type": "raw", "metadata": {}, "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 }