{"nbformat_minor": 0, "worksheets": [{"cells": [{"source": ["Image Deconvolution using Sparse Regularization\n", "===============================================\n", "\n*Important:* Please read the [installation page](http://gpeyre.github.io/numerical-tours/installation_matlab/) for details about how to install the toolboxes.\n", "$\\newcommand{\\dotp}[2]{\\langle #1, #2 \\rangle}$\n", "$\\newcommand{\\enscond}[2]{\\lbrace #1, #2 \\rbrace}$\n", "$\\newcommand{\\pd}[2]{ \\frac{ \\partial #1}{\\partial #2} }$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\umax}[1]{\\underset{#1}{\\max}\\;}$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\uargmin}[1]{\\underset{#1}{argmin}\\;}$\n", "$\\newcommand{\\norm}[1]{\\|#1\\|}$\n", "$\\newcommand{\\abs}[1]{\\left|#1\\right|}$\n", "$\\newcommand{\\choice}[1]{ \\left\\{ \\begin{array}{l} #1 \\end{array} \\right. }$\n", "$\\newcommand{\\pa}[1]{\\left(#1\\right)}$\n", "$\\newcommand{\\diag}[1]{{diag}\\left( #1 \\right)}$\n", "$\\newcommand{\\qandq}{\\quad\\text{and}\\quad}$\n", "$\\newcommand{\\qwhereq}{\\quad\\text{where}\\quad}$\n", "$\\newcommand{\\qifq}{ \\quad \\text{if} \\quad }$\n", "$\\newcommand{\\qarrq}{ \\quad \\Longrightarrow \\quad }$\n", "$\\newcommand{\\ZZ}{\\mathbb{Z}}$\n", "$\\newcommand{\\CC}{\\mathbb{C}}$\n", "$\\newcommand{\\RR}{\\mathbb{R}}$\n", "$\\newcommand{\\EE}{\\mathbb{E}}$\n", "$\\newcommand{\\Zz}{\\mathcal{Z}}$\n", "$\\newcommand{\\Ww}{\\mathcal{W}}$\n", "$\\newcommand{\\Vv}{\\mathcal{V}}$\n", "$\\newcommand{\\Nn}{\\mathcal{N}}$\n", "$\\newcommand{\\NN}{\\mathcal{N}}$\n", "$\\newcommand{\\Hh}{\\mathcal{H}}$\n", "$\\newcommand{\\Bb}{\\mathcal{B}}$\n", "$\\newcommand{\\Ee}{\\mathcal{E}}$\n", "$\\newcommand{\\Cc}{\\mathcal{C}}$\n", "$\\newcommand{\\Gg}{\\mathcal{G}}$\n", "$\\newcommand{\\Ss}{\\mathcal{S}}$\n", "$\\newcommand{\\Pp}{\\mathcal{P}}$\n", "$\\newcommand{\\Ff}{\\mathcal{F}}$\n", "$\\newcommand{\\Xx}{\\mathcal{X}}$\n", "$\\newcommand{\\Mm}{\\mathcal{M}}$\n", "$\\newcommand{\\Ii}{\\mathcal{I}}$\n", "$\\newcommand{\\Dd}{\\mathcal{D}}$\n", "$\\newcommand{\\Ll}{\\mathcal{L}}$\n", "$\\newcommand{\\Tt}{\\mathcal{T}}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\al}{\\alpha}$\n", "$\\newcommand{\\la}{\\lambda}$\n", "$\\newcommand{\\ga}{\\gamma}$\n", "$\\newcommand{\\Ga}{\\Gamma}$\n", "$\\newcommand{\\La}{\\Lambda}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\Si}{\\Sigma}$\n", "$\\newcommand{\\be}{\\beta}$\n", "$\\newcommand{\\de}{\\delta}$\n", "$\\newcommand{\\De}{\\Delta}$\n", "$\\newcommand{\\phi}{\\varphi}$\n", "$\\newcommand{\\th}{\\theta}$\n", "$\\newcommand{\\om}{\\omega}$\n", "$\\newcommand{\\Om}{\\Omega}$\n"], "metadata": {}, "cell_type": "markdown"}, {"source": ["This numerical tour explores the use of\n", "sparsity regularization to perform image deconvolution."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 2, "cell_type": "code", "language": "python", "metadata": {}, "input": ["addpath('toolbox_signal')\n", "addpath('toolbox_general')\n", "addpath('solutions/inverse_3_deconvolution_sparsity')"]}, {"source": ["Sparse Regularization\n", "---------------------\n", "This tour consider measurements $y=\\Phi f_0 + w$\n", "where $\\Phi$ is a convolution $ \\Phi f = h \\star f $\n", "and $w$ is an additive noise.\n", "\n", "\n", "This tour is focussed on using sparsity to recover an image from the\n", "measurements $y$. It consider a synthesis-based regularization, that\n", "compute a sparse set of coefficients $ (a_m^{\\star})_m $\n", "in a frame $\\Psi = (\\psi_m)_m$ that solves\n", "$$a^{\\star} \\in \\text{argmin}_a \\: \\frac{1}{2}\\|y-\\Phi \\Psi a\\|^2 + \\lambda J(a)$$\n", "\n", "\n", "where $\\lambda$ should be adapted to the noise level $\\|w\\|$\n", "\n", "\n", "\n", "Here we used the notation\n", "$$\\Psi a = \\sum_m a_m \\psi_m$$\n", "to indicate the reconstruction operator, and $J(a)$ is the $\\ell^1$\n", "sparsity prior\n", "$$J(a)=\\sum_m \\|a_m\\|.$$\n", "\n", "\n", "Image Blurring\n", "--------------\n", "Deconvolution corresponds to removing a blur from an image.\n", "We use here a Gaussian blur.\n", "\n", "\n", "Parameters for the tour: width of the kernel (in pixel) and noise level."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 3, "cell_type": "code", "language": "python", "metadata": {}, "input": ["setting = 1;\n", "switch setting\n", " case 1\n", " % difficult\n", " s = 3;\n", " sigma = .02;\n", " case 2\n", " % easy\n", " s = 1.2;\n", " sigma = .02;\n", "end"]}, {"source": ["First we load the image to be processed."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 4, "cell_type": "code", "language": "python", "metadata": {}, "input": ["n = 128*2;\n", "name = 'lena';\n", "name = 'boat';\n", "name = 'mri';\n", "f0 = load_image(name);\n", "f0 = rescale(crop(f0,n));"]}, {"source": ["Display it."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": "iVBORw0KGgoAAAANSUhEUgAAAkAAAAGwCAIAAADOgk3lAAAACXBIWXMAAAsSAAALEgHS3X78AAAA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\nrhNifnEAAAAASUVORK5CYII=\n", "output_type": "display_data"}], "prompt_number": 5, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "imageplot(f0);"]}, {"source": ["We build a convolution kernel.\n", "Since we are going to use Fourier to compute the convolution,\n", "we set the center of the kernel in the (1,1) pixel location.\n", "\n", "\n", "Kernel."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 6, "cell_type": "code", "language": "python", "metadata": {}, "input": ["x = [0:n/2-1, -n/2:-1];\n", "[Y,X] = meshgrid(x,x);\n", "h = exp( (-X.^2-Y.^2)/(2*s^2) );\n", "h = h/sum(h(:));"]}, {"source": ["Useful for later : the Fourier transform (should be real because of symmetry)."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 7, "cell_type": "code", "language": "python", "metadata": {}, "input": ["hF = real(fft2(h));"]}, {"source": ["Display the kernel $h$ and its transform $\\hat h$.\n", "We use |fftshift| to center the filter for display."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": "iVBORw0KGgoAAAANSUhEUgAAAkAAAAGwCAIAAADOgk3lAAAACXBIWXMAAAsSAAALEgHS3X78AAAA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\nMYc5AAAAAElFTkSuQmCC\n", "output_type": "display_data"}], "prompt_number": 8, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "imageplot(fftshift(h), 'Filter', 1,2,1);\n", "imageplot(fftshift(hF), 'Fourier transform', 1,2,2);"]}, {"source": ["We use this short hand for the filtering.\n", "Scilab user should define a function in a separate file to perform this.\n", "Note that this is a symmetric operator."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 9, "cell_type": "code", "language": "python", "metadata": {}, "input": ["Phi = @(x)real(ifft2(fft2(x).*hF));"]}, {"source": ["Apply the filter."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 10, "cell_type": "code", "language": "python", "metadata": {}, "input": ["y0 = Phi(f0);"]}, {"source": ["Display the filtered observation."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": "iVBORw0KGgoAAAANSUhEUgAAAkAAAAGwCAIAAADOgk3lAAAACXBIWXMAAAsSAAALEgHS3X78AAAA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\nEjAhhBCdRAImhBCik0jAhBBCdJL/BS1JIRfM4V/dAAAAAElFTkSuQmCC\n", "output_type": "display_data"}], "prompt_number": 11, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "imageplot(f0, 'Image f0', 1,2,1);\n", "imageplot(y0, 'Observation without noise', 1,2,2);"]}, {"source": ["Add some noise of variance $\\sigma^2$,\n", "to obtain $y=\\Phi f_0 + w = f_0 \\star h + w$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 12, "cell_type": "code", "language": "python", "metadata": {}, "input": ["y = y0 + randn(n,n)*sigma;"]}, {"source": ["Display."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": "iVBORw0KGgoAAAANSUhEUgAAAkAAAAGwCAIAAADOgk3lAAAACXBIWXMAAAsSAAALEgHS3X78AAAA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\nDofD4Wgl/h8yv4s/PeJAEwAAAABJRU5ErkJggg==\n", "output_type": "display_data"}], "prompt_number": 13, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "imageplot(y0, 'Observation without noise', 1,2,1);\n", "imageplot(clamp(y), 'Observation with noise', 1,2,2);"]}, {"source": ["Soft Thresholding in a Basis\n", "----------------------------\n", "The soft thresholding operator is at the heart of $\\ell^1$ minimization\n", "schemes. It can be applied to coefficients $a$, or to an image $f$\n", "in an ortho-basis.\n", "\n", "\n", "The soft thresholding is a 1-D functional that shrinks the value of\n", "coefficients.\n", "$$ s_T(u)=\\max(0,1-T/|u|)u $$\n", "\n", "\n", "Define a shortcut for this soft thresholding 1-D functional."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 14, "cell_type": "code", "language": "python", "metadata": {}, "input": ["SoftThresh = @(x,T)x.*max( 0, 1-T./max(abs(x),1e-10) );"]}, {"source": ["Display a curve of the 1D soft thresholding."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": "iVBORw0KGgoAAAANSUhEUgAAAkAAAAGwCAIAAADOgk3lAAAACXBIWXMAAAsSAAALEgHS3X78AAAA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\niPR/js+iDR9JGU0AAAAASUVORK5CYII=\n", "output_type": "display_data"}], "prompt_number": 15, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "T = linspace(-1,1,1000);\n", "plot( T, SoftThresh(T,.5) );\n", "axis('equal');"]}, {"source": ["Note that the function |SoftThresh| can also be applied to vector\n", "(because of Matlab/Scilab vectorialized computation), which defines an\n", "operator on coefficients:\n", "$$ S_T(a) = ( s_T(a_m) )_m. $$\n", "\n", "\n", "In the next section, we use an orthogonal wavelet basis $\\Psi$.\n", "\n", "\n", "We set the parameters of the wavelet transform."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 16, "cell_type": "code", "language": "python", "metadata": {}, "input": ["Jmax = log2(n)-1;\n", "Jmin = Jmax-3;"]}, {"source": ["Shortcut for $\\Psi$ and $\\Psi^*$ in the orthogonal case."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 17, "cell_type": "code", "language": "python", "metadata": {}, "input": ["options.ti = 0; % use orthogonality.\n", "Psi = @(a)perform_wavelet_transf(a, Jmin, -1,options);\n", "PsiS = @(f)perform_wavelet_transf(f, Jmin, +1,options);"]}, {"source": ["The soft thresholding opterator in the basis $\\Psi$ is defined as\n", "$$S_T^\\Psi(f) = \\sum_m s_T( \\langle f,\\psi_m \\rangle ) \\psi_m $$\n", "\n", "\n", "It thus corresponds to applying the transform $\\Psi^*$, thresholding\n", "the coefficients using $S_T$ and then undoing the transform using\n", "$\\Psi$.\n", "$$ S_T^\\Psi(f) = \\Psi \\circ S_T \\circ \\Psi^*$$"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 18, "cell_type": "code", "language": "python", "metadata": {}, "input": ["SoftThreshPsi = @(f,T)Psi(SoftThresh(PsiS(f),T));"]}, {"source": ["This soft thresholding corresponds to a denoising operator."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": "iVBORw0KGgoAAAANSUhEUgAAAkAAAAGwCAIAAADOgk3lAAAACXBIWXMAAAsSAAALEgHS3X78AAAA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\nmZXg0XM4AAAAAElFTkSuQmCC\n", "output_type": "display_data"}], "prompt_number": 19, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "imageplot( clamp(SoftThreshPsi(f0,.1)) );"]}, {"source": ["Deconvolution using Orthogonal Wavelet Sparsity\n", "-----------------------------------------------\n", "If $\\Psi$ is an orthogonal basis, a change of variable shows that the\n", "synthesis prior is also an analysis prior, that reads\n", "$$f^{\\star} \\in \\text{argmin}_f \\: E(f) = \\frac{1}{2}\\|y-\\Phi f\\|^2 + \\lambda \\sum_m \\|\\langle f,\\psi_m \\rangle\\|. $$\n", "\n", "\n", "To solve this non-smooth optimization problem, one can use\n", "forward-backward splitting, also known as iterative soft thresholding.\n", "\n", "\n", "It computes a series of images $f^{(\\ell)}$ defined as\n", "$$ f^{(\\ell+1)} = S_{\\tau\\lambda}^{\\Psi}( f^{(\\ell)} - \\tau \\Phi^{*}$\n", "(\\Phi f^{(\\ell)} - y) ) $$\n", "\n", "\n", "Set up the value of the threshold."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 20, "cell_type": "code", "language": "python", "metadata": {}, "input": ["lambda = .02;"]}, {"source": ["In our setting, since $h$ is symmetric, one has $\\Phi^* f = \\Phi f = f \\star h$.\n", "\n", "\n", "For $f^{(\\ell)}$ to converge to a solution of the problem, the gradient\n", "step size should be chosen as\n", "$$\\tau < \\frac{2}{\\|\\Phi^* \\Phi\\|}$$\n", "\n", "\n", "Since the filtering is an operator of norm 1, this must be smaller than\n", "2."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 21, "cell_type": "code", "language": "python", "metadata": {}, "input": ["tau = 1.5;"]}, {"source": ["Number of iterations."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 22, "cell_type": "code", "language": "python", "metadata": {}, "input": ["niter = 100;"]}, {"source": ["Initialize the solution."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 23, "cell_type": "code", "language": "python", "metadata": {}, "input": ["fSpars = y;"]}, {"source": ["First step: perform one step of gradient descent of the energy\n", "$ \\|y-f\\star h\\|^2 $."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 24, "cell_type": "code", "language": "python", "metadata": {}, "input": ["fSpars = fSpars + tau * Phi( y-Phi(fSpars) );"]}, {"source": ["Second step: denoise the solution by thresholding."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 25, "cell_type": "code", "language": "python", "metadata": {}, "input": ["fSpars = SoftThreshPsi( fSpars, lambda*tau );"]}, {"source": ["__Exercise 1__\n", "\n", "Perform the iterative soft thresholding.\n", "Monitor the decay of the energy $E$ you are minimizing."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": "iVBORw0KGgoAAAANSUhEUgAAAkAAAAGwCAIAAADOgk3lAAAACXBIWXMAAAsSAAALEgHS3X78AAAA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\nAElFTkSuQmCC\n", "output_type": "display_data"}], "prompt_number": 26, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo1()"]}, {"collapsed": false, "outputs": [], "prompt_number": 27, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Display the result."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": "iVBORw0KGgoAAAANSUhEUgAAAkAAAAGwCAIAAADOgk3lAAAACXBIWXMAAAsSAAALEgHS3X78AAAA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\nsEKhUCgsEkVghUKhUFgk/h/IfvhFfBLLLAAAAABJRU5ErkJggg==\n", "output_type": "display_data"}], "prompt_number": 28, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "imageplot(clamp(fSpars), ['Sparsity deconvolution, SNR=' num2str(snr(f0,fSpars),3) 'dB']);"]}, {"source": ["__Exercise 2__\n", "\n", "Try to find the best threshold $\\lambda$. To this end, perform a *lot*\n", "of iterations, and progressively decay the threshold $\\lambda$ during the\n", "iterations. Record the best result in |fBestOrtho|.\n", "armup\n", "escent"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": "iVBORw0KGgoAAAANSUhEUgAAAkAAAAGwCAIAAADOgk3lAAAACXBIWXMAAAsSAAALEgHS3X78AAAA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\nB6+BCQwglvND2Pol1fg/iIxV4gKC3esAAAAASUVORK5CYII=\n", "output_type": "display_data"}], "prompt_number": 29, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo2()"]}, {"collapsed": false, "outputs": [], "prompt_number": 30, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Display the result."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": "iVBORw0KGgoAAAANSUhEUgAAAkAAAAGwCAIAAADOgk3lAAAACXBIWXMAAAsSAAALEgHS3X78AAAA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\n", "output_type": "display_data"}], "prompt_number": 31, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "imageplot(clamp(fBestOrtho), ['Sparsity deconvolution, SNR=' num2str(snr(f0,fBestOrtho),3) 'dB']);"]}, {"source": ["Deconvolution using Translation Invariant Wavelet Sparsity\n", "----------------------------------------------------------\n", "Orthogonal sparsity performs a poor regularization because of the lack of\n", "translation invariance. This regularization is enhanced by considering\n", "$\\Psi$ as a redundant tight frame of translation invariant wavelets.\n", "\n", "\n", "One thus looks for optimal coefficients $a^\\star$ that solves\n", "$$a^{\\star} \\in \\text{argmin}_a \\: \\frac{1}{2}\\|y-\\Phi \\Psi a\\|^2 + \\lambda J(a)$$\n", "\n", "\n", "One should be careful that because of the redundancy of the wavelet\n", "tight frame, one should use a weighted $\\ell^1$ norm, where each\n", "coefficient is divided by the number of redundancy at each scale.\n", "$$J(a) = \\sum_{j,k} u_j \\|a_{j,k}\\| $$\n", "\n", "\n", "where the wavelet coefficients $a_{m} = a_{j,k}$ are indexed by the\n", "scale (and orientation) $j$ and the location $k$.\n", "\n", "\n", "Compute the scaling factor (inverse of the redundancy)."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 32, "cell_type": "code", "language": "python", "metadata": {}, "input": ["J = Jmax-Jmin+1;\n", "u = [4^(-J) 4.^(-floor(J+2/3:-1/3:1)) ];"]}, {"source": ["Value of the regularization parameter."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 33, "cell_type": "code", "language": "python", "metadata": {}, "input": ["lambda = .01;"]}, {"source": ["Shortcut for the wavelet transform.\n", "*Important*: Note that |PsiS| is the shortcut for $\\Psi^*$,\n", "but |Psi| is the shortcut for $ \\Xi = (\\Psi^*)^+$ that\n", "satisfy $ \\Xi \\Phi^* f = f$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 34, "cell_type": "code", "language": "python", "metadata": {}, "input": ["options.ti = 1; % use translation invariance\n", "Psi = @(a)perform_wavelet_transf(a, Jmin, -1,options);\n", "PsiS = @(f)perform_wavelet_transf(f, Jmin, +1,options);"]}, {"source": ["The forward-backward algorithm now compute a series of wavelet\n", "coefficients $a^{(\\ell)}$ computed as\n", "$$a^{(\\ell+1)} = S_{\\tau\\lambda}( a^{(\\ell)} + \\Psi^*\\Phi( y - \\Phi\\Xi a^{(\\ell)} ) ). $$\n", "\n", "\n", "The soft thresholding is defined as:\n", "$$\\forall m, \\quad S_T(a)_m = \\max(0, 1-T/\\|a_m\\|)a_m. $$\n", "\n", "\n", "The step size should satisfy:\n", "$$\\tau < \\frac{2}{\\|\\Phi\\Psi\\|^2}. $$"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 35, "cell_type": "code", "language": "python", "metadata": {}, "input": ["tau = 1.5;"]}, {"source": ["Initialize the wavelet coefficients with those of the observations."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 36, "cell_type": "code", "language": "python", "metadata": {}, "input": ["a = PsiS(y);"]}, {"source": ["Gradient descent."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 37, "cell_type": "code", "language": "python", "metadata": {}, "input": ["a = a + tau * PsiS( Phi( y-Phi(Psi(a)) ) );"]}, {"source": ["Soft threshold."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 38, "cell_type": "code", "language": "python", "metadata": {}, "input": ["a = SoftThresh( a, lambda*tau );"]}, {"source": ["*Important:* keep in mind that the prior $J(a)$ is a _weighted_\n", "$\\ell^1$ norm, it should thus be computed this way:"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 39, "cell_type": "code", "language": "python", "metadata": {}, "input": ["U = repmat( reshape(u,[1 1 length(u)]), [n n 1] );\n", "Ja = sum(sum(sum( abs(a.*U) )));"]}, {"source": ["__Exercise 3__\n", "\n", "Perform the iterative soft thresholding. Monitor the decay of the\n", "energy."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": "iVBORw0KGgoAAAANSUhEUgAAAkAAAAGwCAIAAADOgk3lAAAACXBIWXMAAAsSAAALEgHS3X78AAAA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\nRU5ErkJggg==\n", "output_type": "display_data"}], "prompt_number": 40, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo3()"]}, {"collapsed": false, "outputs": [], "prompt_number": 41, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Perform the reconstruction."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 42, "cell_type": "code", "language": "python", "metadata": {}, "input": ["fTI = Psi(a);"]}, {"source": ["Display the result."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": "iVBORw0KGgoAAAANSUhEUgAAAkAAAAGwCAIAAADOgk3lAAAACXBIWXMAAAsSAAALEgHS3X78AAAA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\nWKFQKBTOEkVghUKhUDhL/B+lWfC7pFdXowAAAABJRU5ErkJggg==\n", "output_type": "display_data"}], "prompt_number": 43, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "imageplot(fTI);"]}, {"source": ["__Exercise 4__\n", "\n", "Compute the optimal value of $\\lambda$, and record the optimal\n", "reconstruction |fBestTI|.\n", "armup\n", "escent"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": "iVBORw0KGgoAAAANSUhEUgAAAkAAAAGwCAIAAADOgk3lAAAACXBIWXMAAAsSAAALEgHS3X78AAAA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\n", "output_type": "display_data"}], "prompt_number": 44, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo4()"]}, {"collapsed": false, "outputs": [], "prompt_number": 45, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Display the result."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": "iVBORw0KGgoAAAANSUhEUgAAAkAAAAGwCAIAAADOgk3lAAAACXBIWXMAAAsSAAALEgHS3X78AAAA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\nYifx/wDkAtztBFZBtQAAAABJRU5ErkJggg==\n", "output_type": "display_data"}], "prompt_number": 46, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "imageplot(clamp(fBestTI), ['Sparsity deconvolution TI, SNR=' num2str(snr(f0,fBestTI),3) 'dB']);"]}, {"source": ["__Exercise 5__\n", "\n", "Compare with the result of TV regularization, record the optimal\n", "TV result in |fBestTV|."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": "iVBORw0KGgoAAAANSUhEUgAAAkAAAAGwCAIAAADOgk3lAAAACXBIWXMAAAsSAAALEgHS3X78AAAA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\nkAQMgJAEDICQ/g8GK3oOcXk7/gAAAABJRU5ErkJggg==\n", "output_type": "display_data"}], "prompt_number": 47, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo5()"]}, {"collapsed": false, "outputs": [], "prompt_number": 48, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Display the result."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": "iVBORw0KGgoAAAANSUhEUgAAAkAAAAGwCAIAAADOgk3lAAAACXBIWXMAAAsSAAALEgHS3X78AAAA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\nTkSuQmCC\n", "output_type": "display_data"}], "prompt_number": 49, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "imageplot(clamp(fBestTV), ['TV deconvolution, SNR=' num2str(snr(f0,fBestTV),3) 'dB']);"]}], "metadata": {}}], "nbformat": 3, "metadata": {"kernelspec": {"name": "matlab_kernel", "language": "matlab", "display_name": "Matlab"}, "language_info": {"mimetype": "text/x-matlab", "name": "matlab", "file_extension": ".m", "help_links": [{"url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md", "text": "MetaKernel Magics"}]}}}