{"metadata": {"signature": "sha256:9f44f563d8a32b64e9b68a918781540c1f2e8270a8c4e6301d28640f7e46f7c2", "name": ""}, "worksheets": [{"metadata": {}, "cells": [{"level": 1, "metadata": {}, "cell_type": "heading", "source": ["Linear Image Denoising"]}, {"metadata": {}, "cell_type": "markdown", "source": ["This numerical tour introduces basic image denoising methods."]}, {"metadata": {}, "cell_type": "markdown", "source": ["*Important:* Please read the [installation page](http://gpeyre.github.io/numerical-tours/installation_python/) for details about how to install the toolboxes.\n", "$\\newcommand{\\dotp}[2]{\\langle #1, #2 \\rangle}$\n", "$\\newcommand{\\enscond}[2]{\\lbrace #1, #2 \\rbrace}$\n", "$\\newcommand{\\pd}[2]{ \\frac{ \\partial #1}{\\partial #2} }$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\umax}[1]{\\underset{#1}{\\max}\\;}$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\uargmin}[1]{\\underset{#1}{argmin}\\;}$\n", "$\\newcommand{\\norm}[1]{\\|#1\\|}$\n", "$\\newcommand{\\abs}[1]{\\left|#1\\right|}$\n", "$\\newcommand{\\choice}[1]{ \\left\\{ \\begin{array}{l} #1 \\end{array} \\right. }$\n", "$\\newcommand{\\pa}[1]{\\left(#1\\right)}$\n", "$\\newcommand{\\diag}[1]{{diag}\\left( #1 \\right)}$\n", "$\\newcommand{\\qandq}{\\quad\\text{and}\\quad}$\n", "$\\newcommand{\\qwhereq}{\\quad\\text{where}\\quad}$\n", "$\\newcommand{\\qifq}{ \\quad \\text{if} \\quad }$\n", "$\\newcommand{\\qarrq}{ \\quad \\Longrightarrow \\quad }$\n", "$\\newcommand{\\ZZ}{\\mathbb{Z}}$\n", "$\\newcommand{\\CC}{\\mathbb{C}}$\n", "$\\newcommand{\\RR}{\\mathbb{R}}$\n", "$\\newcommand{\\EE}{\\mathbb{E}}$\n", "$\\newcommand{\\Zz}{\\mathcal{Z}}$\n", "$\\newcommand{\\Ww}{\\mathcal{W}}$\n", "$\\newcommand{\\Vv}{\\mathcal{V}}$\n", "$\\newcommand{\\Nn}{\\mathcal{N}}$\n", "$\\newcommand{\\NN}{\\mathcal{N}}$\n", "$\\newcommand{\\Hh}{\\mathcal{H}}$\n", "$\\newcommand{\\Bb}{\\mathcal{B}}$\n", "$\\newcommand{\\Ee}{\\mathcal{E}}$\n", "$\\newcommand{\\Cc}{\\mathcal{C}}$\n", "$\\newcommand{\\Gg}{\\mathcal{G}}$\n", "$\\newcommand{\\Ss}{\\mathcal{S}}$\n", "$\\newcommand{\\Pp}{\\mathcal{P}}$\n", "$\\newcommand{\\Ff}{\\mathcal{F}}$\n", "$\\newcommand{\\Xx}{\\mathcal{X}}$\n", "$\\newcommand{\\Mm}{\\mathcal{M}}$\n", "$\\newcommand{\\Ii}{\\mathcal{I}}$\n", "$\\newcommand{\\Dd}{\\mathcal{D}}$\n", "$\\newcommand{\\Ll}{\\mathcal{L}}$\n", "$\\newcommand{\\Tt}{\\mathcal{T}}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\al}{\\alpha}$\n", "$\\newcommand{\\la}{\\lambda}$\n", "$\\newcommand{\\ga}{\\gamma}$\n", "$\\newcommand{\\Ga}{\\Gamma}$\n", "$\\newcommand{\\La}{\\Lambda}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\Si}{\\Sigma}$\n", "$\\newcommand{\\be}{\\beta}$\n", "$\\newcommand{\\de}{\\delta}$\n", "$\\newcommand{\\De}{\\Delta}$\n", "$\\newcommand{\\phi}{\\varphi}$\n", "$\\newcommand{\\th}{\\theta}$\n", "$\\newcommand{\\om}{\\omega}$\n", "$\\newcommand{\\Om}{\\Omega}$\n"]}, {"prompt_number": 1, "metadata": {}, "cell_type": "code", "outputs": [{"output_type": "stream", "stream": "stdout", "text": ["Populating the interactive namespace from numpy and matplotlib\n"]}, {"output_type": "stream", "stream": "stderr", "text": ["WARNING: pylab import has clobbered these variables: ['pylab']\n", "`%matplotlib` prevents importing * from pylab and numpy\n"]}], "input": ["from __future__ import division\n", "from nt_toolbox.general import *\n", "from nt_toolbox.signal import *\n", "%pylab inline\n", "%matplotlib inline\n", "%load_ext autoreload\n", "%autoreload 2"], "collapsed": false, "language": "python"}, {"level": 2, "metadata": {}, "cell_type": "heading", "source": ["Noisy Image Formation"]}, {"metadata": {}, "cell_type": "markdown", "source": ["In these numerical tour, we simulate noisy acquisition by adding some\n", "white noise (each pixel is corrupted by adding an independant Gaussian\n", "variable).\n", "\n", "\n", "This is useful to test in an oracle maner the performance of our methods.\n", "\n", "\n", "Size $N = n \\times n$ of the image."]}, {"prompt_number": 2, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["n = 256\n", "N = n**2"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["We load a clean image $x_0 \\in \\RR^N$."]}, {"prompt_number": 3, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["name = 'nt_toolbox/data/flowers.png'\n", "x0 = load_image(name, n)"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Display the clean image."]}, {"prompt_number": 5, "metadata": {}, "cell_type": "code", "outputs": [{"metadata": {}, "output_type": "display_data", "png": 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1UwRIEttms4k2hdJ8VVV68uRJeYc7d+48vvLpRCIBp9M5JljiwUokEvI1CmDo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"text": [""]}], "input": ["imageplot(x0)"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Variance of the noise."]}, {"prompt_number": 24, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["sigma = .08"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["We add some noise to it to obtain the noisy signal $y = x_0 + w$.\n", "Here $w$ is a realization of a Gaussian white noise of variance\n", "$\\si^2$."]}, {"prompt_number": 25, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["y = x0 + sigma*random.standard_normal(x0.shape)"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Display the noisy image."]}, {"prompt_number": 26, "metadata": {}, "cell_type": "code", "outputs": [{"metadata": {}, "output_type": "display_data", "png": 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S6bQA/SSdydjYGEajkUgkwszMDBqNhidPnlAoFIS2xWg08s4772CxWAAwm81C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\nqn18fIxoNCorwurqatTW1iIWi0l618bGBpLJJM7Pz8WMd+XKFTl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"text": [""]}], "input": ["imageplot(clamp(y))"], "collapsed": false, "language": "python"}, {"level": 2, "metadata": {}, "cell_type": "heading", "source": ["Linear Image Denoising"]}, {"metadata": {}, "cell_type": "markdown", "source": ["We consider a noising estimator $x \\in \\RR^N$ of $x_0$ that only\n", "depends on the observation $y$. Mathematically speaking, it is thus a\n", "random vector that depends on the noise $w$.\n", "\n", "\n", "A translation invariant linear denoising is necessarely a convolution\n", "with a kernel $h$\n", "$$ x = x_0 \\star h $$\n", "where the periodic convolution between two 2-D arrays is defined as\n", "$$ (a \\star b)_i = \\sum_j a(j) b(i-j). $$\n", "\n", "\n", "It can be computed over the Fourier domain as\n", "$$ \\forall \\om, \\quad \\hat x(\\om) = \\hat x_0(\\om) \\hat h(\\om). $$"]}, {"prompt_number": 27, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["cconv = lambda a,b : real(ifft2(fft2(a)*fft2(b)))"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["We use here a Gaussian fitler $h$ parameterized by\n", "the bandwith $\\mu$."]}, {"prompt_number": 28, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["normalize = lambda h : h/sum(h.flatten())\n", "t = transpose( concatenate( (arange(0,n/2), arange(-n/2,0) ) ) )\n", "[Y,X] = meshgrid(t, t)\n", "h = lambda mu: normalize(exp(-(X**2 + Y**2)/ (2*mu**2)))"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Display the filter $h$ and its Fourier transform."]}, {"prompt_number": 29, "metadata": {}, "cell_type": "code", "outputs": [{"metadata": {}, "output_type": "display_data", "png": 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"text": [""]}], "input": ["mu = 10\n", "subplot(1,2, 1)\n", "imageplot(fftshift(h(mu)))\n", "title('h')\n", "subplot(1,2, 2)\n", "imageplot(fftshift(real(fft2(h(mu)))))\n", "title('$\\hat h$');"], "collapsed": false, "language": "python"}, {"prompt_number": 30, "metadata": {}, "cell_type": "code", "outputs": [{"metadata": {}, "output_type": "display_data", "png": 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"text": [""]}], "input": ["imageplot(h(mu))"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Shortcut for the convolution with $h$."]}, {"prompt_number": 31, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["denoise = lambda x,mu : cconv(h(mu), x)"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Display a denoised signal."]}, {"prompt_number": 32, "metadata": {}, "cell_type": "code", "outputs": [{"metadata": {}, "output_type": "display_data", "png": 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dwSFJQkZSbP8ufDIcP+btqi3/TCfm9fxMxGck8GjPNtNqhX/Zqso/nUF04l9C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\nkODSpMSNK92Tx2dMROe6wzswuGGkukMVnZNQf77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"text": [""]}], "input": ["imageplot(denoise(y, mu))"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["**Exercise 1:** Display a denoised signal for several values of $\\mu$."]}, {"prompt_number": 33, "metadata": {}, "cell_type": "code", "outputs": [{"metadata": {}, "output_type": "display_data", "png": 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9nDp1CpFIRJJnmqYhmUxif38fuVxOiqbUhCs3s5oYV6lu3W53pB2C6vUbDAYU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BBQDIab7ARWlXdUOGCcMP/13busqf+OZDAY51qtZjVDnBYXmUoodD0IhT0P5EVBmsL3b42sAcMz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"text": [""]}], "input": ["run -i nt_solutions/denoisingsimp_2b_linear_image/exo1"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["**Exercise 2:** Display the evolution of the oracle denoising error\n", "$ \\norm{y-x_0} $ as a function of $\\mu$.\n", "Set $\\mu$ to the value of the optimal parameter. "]}, {"prompt_number": 34, "metadata": {}, "cell_type": "code", "outputs": [{"metadata": {}, "output_type": "display_data", "png": 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"text": [""]}], "input": ["run -i nt_solutions/denoisingsimp_2b_linear_image/exo2"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Display the results."]}, {"prompt_number": 35, "metadata": {}, "cell_type": "code", "outputs": [{"metadata": {}, "output_type": "display_data", "png": 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ANuySYkkyJYELg0ACOHmr1QoH6XQ6Wq9v1X9ch3Ku0+kkukR0BlarVRg7QeVQ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NpgMKi1tbUG+6dlwy9fvmzkW1ZTUjEJSlpQJsLEMRbPYju4yGehIQF99uXLl/X111/X3d1d/e1v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\nOmqOKlMO6yFdyl4C05wqMhwoQ3VqVx69l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"text": [""]}], "input": ["imageplot(denoise(y, mu))"], "collapsed": false, "language": "python"}, {"level": 2, "metadata": {}, "cell_type": "heading", "source": ["Wiener Filtering"]}, {"metadata": {}, "cell_type": "markdown", "source": ["We suppose here that $x_0$ is a realization of a random vector $x_0$,\n", "whose distribution is Gaussian with a stationary covariance $c$,\n", "and we denote $P_{X_0}(\\om) = \\hat c(\\om)$ the power-spectrum of\n", "$x_0$.\n", "\n", "\n", "Recall that $w$ is a realization of a random vector $W$\n", "distributed according to $\\Nn(0,\\si^2 \\text{Id})$.\n", "\n", "\n", "The (oracle) optimal filter minimizes the risk\n", "$$ R(h) = \\EE_{W,X_0}( \\norm{ X_0 - h \\star (X_0 + W) }^2 ). $$\n", "\n", "\n", "One can show that the solution of this problem, the so-called Wiener filter,\n", "is defined as\n", "$$ \\forall \\om, \\quad \\hat h(\\om) = \\frac{ P_{X_0}(\\om) }{ P_{X_0}(\\om) + \\si^2 }. $$\n", "\n", "\n", "We estimate $ P_{X_0} $ using the periodogram associated to the\n", "realization $x_0$, i.e.\n", "$$ P_{X_0} \\approx \\frac{1}{N}\\abs{\\hat x_0}^2. $$"]}, {"prompt_number": 36, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["P = 1/N * ( abs(fft2(x0))**2 )"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Compute the approximate Wiener filter."]}, {"prompt_number": 37, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["h_w = real(ifft2(P / (P + sigma**2)))"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Note that this is a theoretical filter, because in practice one does not\n", "have access to $x_0$. Display it."]}, {"prompt_number": 38, "metadata": {}, "cell_type": "code", "outputs": [{"metadata": {}, "output_type": "display_data", "png": 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"text": [""]}], "input": ["u = fftshift(h_w)\n", "imageplot( u[n/2-10:n/2+10,n/2-10:n/2+10] )"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Display the denoising result."]}, {"prompt_number": 39, "metadata": {}, "cell_type": "code", "outputs": [{"metadata": {}, "output_type": "display_data", "png": 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8BEbi/557pGVFmxLjXSwW+vDhw17fGoUoR9052EWvm+dLpVLqdDrabLZj/P/z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\nT80oIa4iGh6D1xcmiHcdXrdzSQ/3er24uLjIHoq+g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"text": [""]}], "input": ["imageplot( cconv(y,h_w) )"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Note that this denoising is not very efficient, because the hypothesis of\n", "stationarity of $X_0$ is not realistic for such piecewise-regular\n", "signal."]}]}], "nbformat_minor": 0, "nbformat": 3}