{ "cells": [ { "cell_type": "markdown", "metadata": {}, "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": {}, "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": 4, "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", "%matplotlib inline\n", "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "markdown", "metadata": {}, "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": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "n = 128" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We load a noisy image $f_0\\in \\RR^N$." ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(128, 128)" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "c = [100,200]\n", "f0 = load_image(\"nt_toolbox/data/lena.bmp\")\n", "f0 = rescale(f0[c[0]-n//2:c[0]+n//2, c[1]-n//2:c[1]+n//2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display $f_0$." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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5LD3n937v9/Z25UQUIftpRy/E8iLWLj4LeoVqa+2rLcoD2efR9SU+feihh84eL6503Wzb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\n4a7twmPOc1VpVt6jyjRp60uqPWt3n03t63OjV6TXdB3pFeh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84Nyaiy7feeeds8eITSo4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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": 8, "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": 9, "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": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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osORP/dRPzYamTJ+EhERXltNiYL9r9ptY0eykMbbTZbOK0uJu8Y33ExVZZ9qzUXSZkFBC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\nW7N0/T+/L8oUXxl3xql2v+aaa2ZZvG08ihk9L85dghJWdzz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FihONEWPTbD5t5Hcti8OM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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": [ "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": 11, "metadata": { "collapsed": false }, "outputs": [], "source": [ "w = 3\n", "w1 = 2*w + 1" ] }, { "cell_type": "markdown", "metadata": {}, "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": 12, "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": 13, "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." ] }, { "cell_type": "code", "execution_count": 14, "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", "patch = lambda f: np.ravel(f)[I]" ] }, { "cell_type": "markdown", "metadata": {}, "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": 15, "metadata": { "collapsed": false }, "outputs": [], "source": [ "P = patch(f)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display some example of patches." ] }, { "cell_type": "code", "execution_count": 16, "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(P[x, y], '', [4, 4, i+1])" ] }, { "cell_type": "markdown", "metadata": {}, "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": 17, "metadata": { "collapsed": false }, "outputs": [], "source": [ "d = 25" ] }, { "cell_type": "markdown", "metadata": {}, "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": 18, "metadata": { "collapsed": false }, "outputs": [], "source": [ "resh = lambda P: np.transpose((np.reshape(P, (n*n,w1*w1), order=\"F\")))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Operator to remove the mean of the patches to each patch." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [], "source": [ "remove_mean = lambda Q: Q - np.tile(np.mean(Q,0),(w1*w1,1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute the mean and the covariance of the points cloud representing the\n", "patches." ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(16384, 49)" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "P1 = remove_mean(resh(P))\n", "C = np.dot(P1,np.transpose(P1))\n", "np.reshape(P1, (n*n,w1*w1), order=\"F\").shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Extract the eigenvectors, sorted by decreasing amplitude." ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(49, 49)" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from numpy import linalg\n", "\n", "[D,V] = linalg.eig(C)\n", "D = np.sort(D)[::-1]\n", "I = np.argsort(D)[::-1]\n", "V = V[I,:]\n", "V.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the decaying amplitude of the eigenvalues." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(D, linewidth = 2)\n", "plt.ylim(0,max(D))\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the leading eigenvectors - they look like Fourier modes." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (5,5))\n", "for i in range(16):\n", " imageplot(abs(np.reshape(V[:,i], (w1,w1))), '', [4, 4, i+1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Patch dimensionality reduction operator." ] }, { "cell_type": "code", "execution_count": 78, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 0.03305904, -0.02414477, -0.05032987, ..., 0.0746693 ,\n", " 0.03753233, 0.0383389 ])" ] }, "execution_count": 78, "metadata": {}, "output_type": "execute_result" } ], "source": [ "iresh = lambda Q: np.reshape(np.transpose(Q),(n,n,d),order=\"F\")\n", "descriptor = lambda f: iresh(np.dot(np.transpose(V[: ,:d]),remove_mean(resh(P))))\n", "remove_mean(resh(P))[0, :]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each $H(i,j,:)$ is a $d$-dimensional descriptor\n", "of a patch." ] }, { "cell_type": "code", "execution_count": 74, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 1.42738608e-04, 7.74350990e-03, 2.07484335e-06,\n", " 9.40125926e-04, -2.45822855e-02, -3.44505070e-03,\n", " -6.50635654e-04, 1.04723890e-02, 2.33644412e-03,\n", " -2.56795121e-02, 5.62050406e-16, -7.87145951e-03,\n", " 8.61537585e-04, -2.00311103e-04, -2.32149985e-04,\n", " -3.85475536e-03, 1.97624589e-02, 4.36040614e-03,\n", " 5.45757894e-03, 1.02942053e-01, 9.22892930e-02,\n", " -6.11446202e-03, 7.36732695e-02, 3.21945499e-03,\n", " 3.28965785e-02])" ] }, "execution_count": 74, "metadata": {}, "output_type": "execute_result" } ], "source": [ "H = descriptor(f)\n", "H[0, 0, :]" ] }, { "cell_type": "markdown", "metadata": {}, "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": 26, "metadata": { "collapsed": false }, "outputs": [], "source": [ "distance = lambda i: np.sum((H - np.tile(H[i[0],i[1],:], (n,n,1)))**2, 2)/(w1*w1)" ] }, { "cell_type": "markdown", "metadata": {}, "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": 27, "metadata": { "collapsed": false }, "outputs": [], "source": [ "normalize = lambda K: K/np.sum(K)\n", "kernel = lambda i,tau: normalize(np.exp(-distance(i)/(2*tau**2)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute a typical example of kernel for some pixel position $(x,y)$." ] }, { "cell_type": "code", "execution_count": 72, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[ 0.03441691, 0.03349612, 0.03216211, ..., 0.03443596,\n", " 0.03573311, 0.03468378],\n", " [ 0.03340683, 0.03256 , 0.03005144, ..., 0.03819849,\n", " 0.04061049, 0.039529 ],\n", " [ 0.03428794, 0.03339401, 0.0316966 , ..., 0.03757957,\n", " 0.04009618, 0.03925889],\n", " ..., \n", " [ 0.03693357, 0.0366781 , 0.03253013, ..., 0.05595568,\n", " 0.05712218, 0.05819129],\n", " [ 0.03867577, 0.03696015, 0.03539117, ..., 0.05618881,\n", " 0.05525891, 0.05384271],\n", " [ 0.03580392, 0.03578018, 0.03713073, ..., 0.0427428 ,\n", " 0.041126 , 0.04187038]])" ] }, "execution_count": 72, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tau = .05\n", "i = [83,72]\n", "D = distance(i)\n", "K = kernel(i, tau)\n", "D" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the squared distance and the kernel." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Vo5S07vU4R2Hy57Cajz4kttv99vrrr1/9DPOMvC9ndlEZcdvoc/O2k6pGZYfr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\njGAyZYoVV8lnYTjKZRaQRzJ+iqVSw/wkeovoJ/H2rTLYx8O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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (10,10))\n", "imageplot(D, 'D', [1, 2, 1])\n", "imageplot(K, 'K', [1, 2, 2])" ] }, { "cell_type": "markdown", "metadata": {}, "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": 79, "metadata": { "collapsed": false }, "outputs": [], "source": [ "q = 14" ] }, { "cell_type": "markdown", "metadata": {}, "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": 84, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(5, 5, 25)" ] }, "execution_count": 84, "metadata": {}, "output_type": "execute_result" } ], "source": [ "selection = lambda i: np.array((clamp(np.arange(i[0]-q,i[0] + q + 1), 0, n-1), clamp(np.arange(i[1]-q,i[1] + q + 1), 0, n-1)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute distance and kernel only within the window." ] }, { "cell_type": "code", "execution_count": 92, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85,\n", " 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97],\n", " [58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74,\n", " 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86]])" ] }, "execution_count": 92, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def distance_0(i,sel): \n", " H1 = (H[sel[0],:,:])\n", " H2 = (H1[:,sel[1],:])\n", " return np.sum((H2 - np.tile(H[i[0],i[1],:],(len(sel[0]),len(sel[1]),1)))**2,2)/w1*w1\n", "\n", "distance = lambda i: distance_0(i, selection(i))\n", "kernel = lambda i, tau: normalize(np.exp(-distance(i)/ (2*tau**2)))\n", "sel = selection(i)\n", "#np.tile(H[i[0],i[1],:],(len(sel[0]),len(sel[1]),1)).shape\n", "sel" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute a typical example of kernel for some pixel position $(x,y)$." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [], "source": [ "D = distance(i)\n", "K = kernel(i, tau)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the squared distance and the kernel." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAk0AAAEpCAYAAACOdxaJAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAE31JREFUeJzt3TtvpetdBfDnHY/t8f0+lzPnkoqCngqlSRAIQQ9dygi+\nAAVtCiQIDRISBRUFHwC+ACIFiBbQ0egkc87YM7bHl7HH3vb4uimCEBLR+1/I3scT5/erEj1Lj99t\nb4/W2Zmz0g2HwwYAQL8Hd/0AAAC/DJQmAICA0gQAEFCaAAACShMAQEBpAgAIKE0AAAGliVvTdd3X\nXdeddF132HXdftd1P+m67odd13V3/WwAla7rXnZd973/9d//8L//LPvuXT4XHw+lids0bK393nA4\nXGitfdFa+7PW2p+01v72Tp8K4P+p67oftNb+qrX2u8Ph8J/v+nn4OChN3LautdaGw+HRcDj8x9ba\nH7TWftB13a/f7WMBZLqu+2Fr7c9ba789HA7/9a6fh4/Hw7t+AO634XD4b13XbbTWvtta+8+7fh6A\nwh+31n6ztfa94XD473f9MHxcfNLEt+FNa235rh8CIPBbrbV/UZj4RZQmvg3PW2v7d/0QAIE/aq39\nWtd1/i4m/4fSxEh1XfcbrbVPWms/uetnAQhst9a+31r7btd1f33XD8PHRWliJLqum+u67vdba3/f\nWvu74XD4H3f9TACJ4XC41X5enH6n67q/vOvn4ePhL4Jz2/6h67rL1tp1+/lf/P6L1trf3O0jAUSG\n//MfhsP1ruu+31r7p67rTofD4Z/e4XPxkeiGw2GdAgD4Fed/ngMACChNAAABpQkAIKA0AQAERv5v\nz/34xz8u/6b5+fl5ec/79+97z7e3t8s7rq+vy8z09HSZWVhYKDNnZ2e95xcXF+UdDx7UnXZiYqLM\njI+Pl5nKw4f1W6Xruht/ncTU1FSZuby8LDNXV1dlZn5+/sbPkzxL9X5prbWxsbEyk7w3K4PBoMxs\nbW2VmR/96EffzhtihLqu82/KwK+g4XD4C//88kkTAEBAaQIACChNAAABpQkAIKA0AQAElCYAgIDS\nBAAQGPlOU7IjdHBwUGZ2dnZ6z5PNnZmZmTKT7DQlX6vanko2jZKNoNvYI3r06FF5R5JJftaTk5Nl\n5vT0tPc82WlKvk7yf1advKZqTyvZYEo2uZKdpmSL7DY2z5KdJoD7xidNAAABpQkAIKA0AQAElCYA\ngIDSBAAQUJoAAAJKEwBAQGkCAAiMfNzyzZs3ZWZzc7PMVKN9y8vL5R3JoGQyFpmYm5vrPU+GK5Nh\nxePj4zJTjVsuLCyUd1SvJ/k6rdWjn63Vo5Nra2vlHcmQafKzToYpk9dUSUYpk591NQzaWmt7e3u9\n57u7u+Udxi2BX0U+aQIACChNAAABpQkAIKA0AQAElCYAgIDSBAAQUJoAAAIj32lKNpjGx8fLzNLS\nUu/55ORkeUeyc/PgQd0jZ2dny0z1vMm2z9HRUZlJtpGq703y/U82jZKNoOSe6enp3vNkMyrZPUqe\nN/kZfPjwofc8+Rklz3JwcFBm9vf3b5zZ2dkp70h+rwHuG580AQAElCYAgIDSBAAQUJoAAAJKEwBA\nQGkCAAgoTQAAAaUJACAw8nHLZCyyGjNsrR5FTIYrHz6sX+7KykqZSYY0q0HDahCxtWygcX5+vsxU\nY5DJ10me9zaGNlur3w8TExPlHe/evSszyXsmGZ2svjfJ9y7JJK9pa2urzGxsbPSev3nzprwjeV6A\n+8YnTQAAAaUJACCgNAEABJQmAICA0gQAEFCaAAACShMAQEBpAgAIjHzccnZ2tsx0XVdm3r9/33ue\nDCsuLS2VmeFwWGYGg0GZGR8fLzOVmZmZW/k6FxcXvedHR0flHckA5uLiYplZWFgoM9X74eTkpLwj\ned5k7DR5P5yfn/eeHxwclHckP4NXr16VmZcvX5aZnZ2d3vPke5eMwALcNz5pAgAIKE0AAAGlCQAg\noDQBAASUJgCAgNIEABBQmgAAAkoTAEBg5OOWDx7UvezDhw9l5vLysvd8YmIifqY+Z2dnZSYZPJye\nnu49n5qaKu9IMtVwZWv19zf53s3Nzd1KJhmUrMYik9ecDGDu7e3dSmZ/f7/3fGtrq7zj7du3ZSYZ\nrjw8PCwz1Xvz6dOn5R2rq6tlBuC+8UkTAEBAaQIACChNAAABpQkAIKA0AQAElCYAgIDSBAAQUJoA\nAAIjH7e8uroqM8kAZjX0ODk5Wd6RZJaWlsrM4uLije9JXnMy0JgMgybPW0lGP4+OjspM8n6oxiuT\nMc5k5HF3d7fMJOOW29vbvefr6+s3vqO17Pub/KyrTDJcuby8XGYA7hufNAEABJQmAICA0gQAEFCa\nAAACShMAQEBpAgAIKE0AAIGR7zTNzMyUmcvLyzJTbffMzs6WdyT7MysrK2Um+Vpzc3O958lOU7Ir\nVX1fWmttbGys93wwGJR3XF9fl5mu68pMsiuV7FNVkk2jN2/elJlkY2ljY6P3PHk94+PjZWZtba3M\nJO/f6enp3vOHD+s/FpL3L8B9408+AICA0gQAEFCaAAACShMAQEBpAgAIKE0AAAGlCQAgoDQBAARG\nPm55dXVVZpJxy2qgcWlpqbzjk08+KTO3MVzZWmvz8/O95wsLC+UdyShiMr74/v373vPj4+PyjmSU\nMhnAPDg4KDOnp6c3fpatra0y8+LFizKzublZZr6t4dVkdLL6PUkkXycZXgW4b3zSBAAQUJoAAAJK\nEwBAQGkCAAgoTQAAAaUJACCgNAEABJQmAIDAyMctB4NBmamGIFurx/+eP39e3rG2tlZmktHJTz/9\ntMw8fvy49zwZaEyGK5MBzMPDw97z5GdUDU62lr2m5J7d3d3e8/39/fKOZLjy1atXZSYZi3z27Fnv\neTK8mmSS728yFDszM9N7Xr2e1rLfWYD7xidNAAABpQkAIKA0AQAElCYAgIDSBAAQUJoAAAJKEwBA\nQGkCAAiMfNxyenq6zFRje621NjEx0Xs+OTlZ3pGMW1Yjmq21trKyUmYq1YBja619/fXXZWZ7e7vM\nHBwc9J5fXFyUdySjiXt7e2Vma2urzGxsbPSeJ685+f52XVdmqpHS1lr7/PPPe8/Hx8fLO66ursrM\n9fV1mZmdnS0z1WtKxi2T32uA+8YnTQAAAaUJACCgNAEABJQmAICA0gQAEFCaAAACShMAQEBpAgAI\njHzcMhkQfPiwfoxqtG9xcbG8IxnkOz4+vpXMu3fves+/+uqr8o5kCHIwGJSZDx8+9J6fnJyUd1QD\nma1lz7u+vl5mNjc3e8/Pzs7KO5Kf9fLycpl5+vTpje8ZGxsr70jGLZN7kt+D+fn53vOlpaXyjuT7\nAnDf+KQJACCgNAEABJQmAICA0gQAEFCaAAACShMAQEBpAgAIjHynaWpqqswkuzBra2u9548ePSrv\nSLaGdnd3y0y1wdRaazs7Ozd+lvPz8zJzcXFRZvb393vP9/b2yjs2NjbKzKtXr8rM4eFhmal+lqur\nq+UdyQbTwsLCjZ+ltdYmJiZ6z6v3bmutzc3NlZnx8fEykzzv5ORk73nyfVlZWSkzAPeNT5oAAAJK\nEwBAQGkCAAgoTQAAAaUJACCgNAEABJQmAICA0gQAEBj5uOX8/HyZmZmZKTPX19e959WYZGutnZ6e\nlplk6PHs7OzGX+vq6qq84/3792UmGYt8/fp17/nbt2/LO16+fFlmkudNhkwfP37cez47O1vekbyn\nEslYZDUG+eTJk/KOJDM9PV1muq4rM9V7L7nj5OSkzMAvk+FwWGaS3w3uN580AQAElCYAgIDSBAAQ\nUJoAAAJKEwBAQGkCAAgoTQAAAaUJACAw8nHLzz77rMxMTEyUmQ8fPvSeX1xclHccHx+XmcvLy1vJ\nVF8reZbd3d0ys76+fuPM/v5+eUcyxpkMNK6urpaZarwyGZxMJPesrKyUmU8//bT3/Dvf+U55R/J9\nSX5PBoNBmTk6Ouo9T0ZKk68Dv0wMV5LwSRMAQEBpAgAIKE0AAAGlCQAgoDQBAASUJgCAgNIEABBQ\nmgAAAiMft1xaWioz19fXZWZsbOzGzzI1NVVmJicny0w1tNlaa+fn573nOzs75R0bGxtl5tWrV2Wm\nGitMXvPi4mKZmZ+fLzMLCwtlpno/JCOPt/WaktHJKpMMZCbfu9PT0zKztbV140wybpn8zgLcNz5p\nAgAIKE0AAAGlCQAgoDQBAASUJgCAgNIEABBQmgAAAiPfaXrwoO5lSaZS7SKljo+Py8zBwUGZ2d3d\n7T3/+uuvyzuSzGAwKDMzMzO957e1wTQ+Pl5mLi4uysz09HTvebL1tLy8XGaePHlSZp49e1ZmZmdn\ne8+vrq7KO969e1dmNjc3y8xXX31VZk5OTnrPkx2sZPMM4L7xSRMAQEBpAgAIKE0AAAGlCQAgoDQB\nAASUJgCAgNIEABBQmgAAAiMft5ybmyszyaDk/v5+7/nh4WF5x9nZ2Y2/TmutvX79usxUI4M/+9nP\nyjuS11QNK7ZWDz2ura2Vdzx69KjMJOOWyZBp9bzPnz8v71hZWSkzS0tLZSYZcby+vu4939nZKe+o\nxlBby953yXumGg8dDoflHcnvEsB945MmAICA0gQAEFCaAAACShMAQEBpAgAIKE0AAAGlCQAgoDQB\nAARGPm55fn5eZvb29srM9vZ273kySjkYDMrMu3fvysyXX35ZZn7605/2np+enpZ33NZA4+LiYu/5\nbQ1XJkOm1XBla/XYZjJuWQ04tpYNVx4dHZWZ6n2VDE6+ffu2zFxcXJSZZOz08vKy9zwZrkxGSgHu\nG3/yAQAElCYAgIDSBAAQUJoAAAJKEwBAQGkCAAgoTQAAAaUJACAw8nHLFy9elJnXr1+XmZ2dnd7z\narCvtXo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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (10,10))\n", "\n", "imageplot(D, 'D', [1, 2, 1])\n", "imageplot(K, 'K', [1, 2, 2])" ] }, { "cell_type": "markdown", "metadata": {}, "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": 93, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def NLval_0(K,sel): \n", " f_temp = f[sel[0],:]\n", " return np.sum(K*f_temp[:, sel[1]])\n", "\n", "NLval = lambda i, tau: NLval_0(kernel(i, tau), selection(i))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We apply the filter to each pixel location\n", "to perform the NL-means algorithm." ] }, { "cell_type": "code", "execution_count": 98, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "128" ] }, "execution_count": 98, "metadata": {}, "output_type": "execute_result" } ], "source": [ "[Y, X] = np.meshgrid(np.arange(0,n),np.arange(0,n))\n", "\n", "def arrayfun(f,X,Y):\n", " n = len(X)\n", " p = len(Y)\n", " R = np.zeros([n,p])\n", " for k in range(n):\n", " for l in range(p):\n", " R[k,l] = f(k,l)\n", " return R\n", "\n", "NLmeans = lambda tau: arrayfun(lambda i1, i2: NLval([i1,i2], tau), X, Y)\n", "len(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the result for some value of $\\tau$." ] }, { "cell_type": "code", "execution_count": 96, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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vPj/J2H/fa74TReAf+MAHerZkVVVVdWepP25VVVXV7nQ0WPLpp5+eDRU7iDUs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\n584NZTvEjGI955fjYLSg1zsXbJOIXVtbp/1xLusvIkDHyXr0R/ul7US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OAAAB\nWUlEQVRkx4LaSH1j1KL1cEzZJ+q+y0QLp0XJ6R7U/val2i/trWlf2u5iX6q05vrZD2oz207lav0c\naypKVa/t4jgy6tA+sG5pf9fLpF0S28JzWrekMecNGXxOz87OtnIaUynlzfPnz4/W1bb2zzye0z8f\nPHny5PgK8P/pzK2UUspy9OVWSillOU5GS5ZSSimXpTO3Ukopy9GXWymllOXoy62UUspy9OVWSill\nOfpyK6WUshx9uZVSSlmOvtxKKaUsR19upZRSlqMvt1JKKcvRl1sppZTl6MutlFLKcvTlVkopZTn6\nciullLIcfbmVUkpZjr7cSimlLEdfbqWUUpajL7dSSinL0ZdbKaWU5ejLrZRSynL05VZKKWU5+nIr\npZSyHH25lVJKWY6+3EoppSxHX26llFKWoy+3Ukopy9GXWymllOXoy62UUspy9OVWSillOfpyK6WU\nshz/Ac/5EF2Rv/5nAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tau = .03\n", "\n", "plt.figure(figsize = (5,5))\n", "imageplot(NLmeans(tau))" ] }, { "cell_type": "markdown", "metadata": {}, "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": 35, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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sn5J1oHhemQmE8BX/Mm4m4wpz7+jnrW9964GImbrmmmumqq1ZpxmzsdP5dXNx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7vyzL2UK+aSni37I2MUl6uzVy34PbOU0wOc92UMFdq4No/v/M7vbM9Uo9FoNBqNxn7jwLL5aIWs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\nndvvwHlKTlmKzmDjE9bA3kwJZqTcviMos0Tul7E0IkuR3Hq79q7i0+/t7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xEg6zmSY3ud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\nt2eJiAilh8rmRHb266SaHcnXQH+6orsz2YhkUFc+/fT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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/denoisingadv_6_nl_means/exo1" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the best result." ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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pwMF7KEqIUIcOpfEfXxWMMAZ0mE4R/MBLe+81+9I6zxw/jWZpIlk92lzcax+6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\nVG73ej/VX9TOv04CSBNIOz/sTYeyzBxmjU8VZrcR3qZNm26GrobwSDE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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (5,5))\n", "imageplot(clamp(fNL))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Exercise 2__\n", "\n", "Explore the influence of the $q$ and $w$ parameters." ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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R9CV2qKc+YB9Ixqhhl+flr3x/7WP50Ic+tCtmplYdwyhqfjucxrApj1/z9Z7i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63ZIsbnV9V/qKo/3fr9NVX14ML9x1bV57f+3rZ17Weq6ppI99eq6v99mst5VlV9pqressvv/1PN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\n2Nubqdtvv/3KzEnVBpgxZSCWjXGL22LiVKEdBT6x0FQw2i1GnSeni5lj8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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/denoisingadv_6_nl_means/exo2" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": {}, "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" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python [default]", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 0 }