{"nbformat_minor": 0, "worksheets": [{"cells": [{"source": ["Image Compression with Wavelets\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 uses wavelets to perform image compression.\n", "We consider a simple model for compression, where we only\n", "estimate the number of bits of the compressed data, without\n", "really performing the actual entropic coding."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "text": ["[\bWarning: Function isrow has the same name as a MATLAB builtin. We suggest you\n", "rename the function to avoid a potential name conflict.]\b \n", "[\b> In path at 110\n", " In addpath at 87\n", " In pymat_eval at 38\n", " In matlabserver at 27]\b \n", "[\bWarning: Function isrow has the same name as a MATLAB builtin. We suggest you\n", "rename the function to avoid a potential name conflict.]\b \n", "[\b> In path at 110\n", " In addpath at 87\n", " In pymat_eval at 38\n", " In matlabserver at 27]\b \n"], "output_type": "display_data"}], "prompt_number": 2, "cell_type": "code", "language": "python", "metadata": {}, "input": ["addpath('toolbox_signal')\n", "addpath('toolbox_general')\n", "addpath('solutions/coding_4_wavelet_compression')"]}, {"source": ["Wavelet Domain Quantization\n", "---------------------------\n", "Image compression is perfomed by first quantizing the wavelet coefficients of\n", "an image.\n", "\n", "\n", "A scalar quantizer of step size |T| uses the function |floor|. It has a\n", "twice larger zero bins.\n", "\n", "\n", "Create values evenly spaced for quantization."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 3, "cell_type": "code", "language": "python", "metadata": {}, "input": ["v = linspace(-1,1, 2048);"]}, {"source": ["Bin size for the quantization. The larger, the more agressive the\n", "compression."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 4, "cell_type": "code", "language": "python", "metadata": {}, "input": ["T = .1;"]}, {"source": ["For compression, we compute quantized integer values."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 5, "cell_type": "code", "language": "python", "metadata": {}, "input": ["vI = floor(abs(v/T)).*sign(v);"]}, {"source": ["For decompression, we compute de-quantized values from |vI|,\n", "which are chosen as the mid-point of each quantization bin."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 6, "cell_type": "code", "language": "python", "metadata": {}, "input": ["vQ = sign(vI) .* (abs(vI)+.5) * T;"]}, {"source": ["Display the quantization curve."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, 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"output_type": "display_data"}], "prompt_number": 7, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "subplot(1,2,1);\n", "plot(v, vI);\n", "axis('tight');\n", "title(strcat(['Quantized integer values, T=' num2str(T)]));\n", "subplot(1,2,2);\n", "hold('on');\n", "plot(v, vQ); \n", "plot(v, v, 'r--');\n", "axis('equal'); axis('tight');\n", "title('De-quantized real values');"]}, {"source": ["Quantization and Approximation of Wavelet Coefficients\n", "------------------------------------------------------\n", "Quantization of wavelet coefficients set to 0 those coefficients\n", "which are smaller than |T|, but it also modify the values of larger\n", "coeffiients. It thus creates an error that is slightly larger than\n", "simply performing an approximation with hard thresholding\n", "at |T|.\n", "\n", "\n", "First we load an image."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 8, "cell_type": "code", "language": "python", "metadata": {}, "input": ["n = 256;\n", "M = rescale( load_image('lena', n) );"]}, {"source": ["Compute its wavelet transform."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 9, "cell_type": "code", "language": "python", "metadata": {}, "input": ["Jmin = 4;\n", "MW = perform_wavelet_transf(M,Jmin, +1);"]}, {"source": ["__Exercise 1__\n", "\n", "Compute the coefficients |MWT| obtained by thresholding at\n", "|T| the coefficients |MW|. Compute the coefficients |MWQ| obtained\n", "by quantizing with bin size |T| the same coefficients.\n", "Display them using the function |plot_wavelet|.\n", "hresholding approximation\n", "isplay"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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a4DNECElLS8N+hNCMGTNUVFSUlJTwXUpKSkpLS7t37/7p0ycVFZWCggIZGRl9ff2zZ8+O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\nSWlrKKilPOqC1f0iQXbFtG2KPBOumXbPnTsnhOjTp48695o3b577aZ5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BBgAwEgEGADAS\nAQYAMBIBBgAwEgEGADASAQYAMBIBBgAwEgEGADASAQYAMBIBBgAwEgEGADASAQYAMBIBBgAwEgEG\nADASAQYAMBIBBgAwEgEGADASAQYAMBIBBgAwEgEGADASAQYAMBIBBgAwEgEGADASAQYAMBIBBgAw\nEgEGADASAQYAMBIBBgAwEgEGADASAQYAMBIBBgAwEgEGADASAQYAMBIBBgAw0v8DOpXKLS9Hhh4A\nAAAASUVORK5CYII=\n", "output_type": "display_data"}], "prompt_number": 10, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo1()"]}, {"collapsed": false, "outputs": [], "prompt_number": 11, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["__Exercise 2__\n", "\n", "Compare the effect of quantizing at |T=.2| and thresholding at |T=.2|\n", "the wavelet coefficients of an image.\n", "nverse transform\n", "rror\n", "isplay"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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dJykZDAb9fp82/nDYDgj0CjVpg5S4njW51nRsjY7U2pGzB1uCGWVSdW4gvIaA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\nsiw7nU6PxxMKhZBJvnHjxsDAwPr6+vT0dDKZbLVa//qv//qpT30K1Am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GkKmiTrOMCzaC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+nz958iRkm6llPOpyUZdqunjDT4nE34AamiOVk7DT6dTr9e3t7VKpRPdDbuEIgG8N+1kPDwhl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\nT8ICjGEYhvEkLMAYhmEYT8ICjGE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"output_type": "display_data"}], "prompt_number": 12, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo2()"]}, {"collapsed": false, "outputs": [], "prompt_number": 13, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["__Exercise 3__\n", "\n", "Compute a bin size |T0| to quantize the original |M| itself to obtained\n", "|MQ0| such that |norm(M-MQ,'fro')| is as close as possible to the error\n", "obtained with wavelet domain quantization."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "text": ["Spatial quantization step T0=0.089.\n"], "output_type": "display_data"}, {"metadata": {}, "png": 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q3JgGw8OFwuHwm2++adiFlygiUbqKdEV+XCi5w3z5phskBw9EBi4diURCoVCl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\nkiHVcgDVdAAAAABJRU5ErkJggg==\n", "output_type": "display_data"}], "prompt_number": 14, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo3()"]}, {"collapsed": false, "outputs": [], "prompt_number": 15, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Entropy Coding the Wavelet Coefficients\n", "---------------------------------------\n", "Actually store the quantized coefficients in a file, one need to compute\n", "a binary code from |MWI|. The length of this code is the number of bits\n", "used by the compressor, which typically increases when |T| decays toward\n", "0.\n", "\n", "\n", "To reduce the number of bits, an entropic coder makes use of the\n", "statistical distribution of the quantized values.\n", "\n", "\n", "First we quantize the coefficients."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 16, "cell_type": "code", "language": "python", "metadata": {}, "input": ["MWI = floor(abs(MW/T)).*sign(MW);\n", "MWQ = sign(MWI) .* (abs(MWI)+.5) * T;"]}, {"source": ["Assuming that all the coefficients of |MWI| are drawn independently from the\n", "same distribution with histogram |h|, the minium bit per pixel achievable\n", "is the Entropy lower bound.\n", "\n", "\n", "|E = -\\sum_i \\log2(h(i))*h(i)|\n", "\n", "\n", "Huffman trees and more precisely block-Huffman tree codes get\n", "increasingly closer to this bound when the data size increases.\n", "Arithmetic coders also achieves very good results and are fast to\n", "compute.\n", "\n", "\n", "Compute the nomalized histogram of the\n", "quantized wavelet coefficients."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 17, "cell_type": "code", "language": "python", "metadata": {}, "input": ["a = max(abs(MWI(:))); \n", "t = -a:a;\n", "h = hist(MWI(:), t); h = h/sum(h);"]}, {"source": ["Compute the histogram of the quantized pixels or the original image."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 18, "cell_type": "code", "language": "python", "metadata": {}, "input": ["t0 = 0:1/T0;\n", "MI = floor(abs(M/T0)); % quantized pixel values\n", "h0 = hist(MI(:), t0); h0 = h0/sum(h0);"]}, {"source": ["Display the histograms."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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"output_type": "display_data"}], "prompt_number": 19, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "subplot(2,1,1);\n", "bar(t0,h0); axis('tight');\n", "title('Pixels');\n", "subplot(2,1,2);\n", "bar(t,h); axis([-5 5 0 max(h)])\n", "title('Wavelets (zoom)');"]}, {"source": ["__Exercise 4__\n", "\n", "Compute the entropy lower bound for the quantized\n", "wavelet coefficients and for the quantized pixel values.\n", "Take care of |log2(0)| when |h(i)=0|."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "text": ["Pixels entropy: 3.2\n", "Wavelet entropy: 0.72\n"], "output_type": "display_data"}], "prompt_number": 20, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo4()"]}, {"collapsed": false, "outputs": [], "prompt_number": 21, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["__Exercise 5__\n", "\n", "Compute, for various threshold |T|, the number of bits per pixels |E(T)|\n", "of the quantized wavelet coefficients,\n", "and the wavelet decompression error |err(T)|, compute using SNR.\n", "Display the rate\n", "distortion curve |err| as a function of |E|."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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"output_type": "display_data"}], "prompt_number": 22, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo5()"]}, {"collapsed": false, "outputs": [], "prompt_number": 23, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Scale-by-scale Entropy Coding\n", "-----------------------------\n", "Wavelet coefficients of an image does not have the same distribution\n", "accross the scales. Taking this into account can further reduce the\n", "number of bits for coding.\n", "\n", "\n", "Quantize the coeffients."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 24, "cell_type": "code", "language": "python", "metadata": {}, "input": ["T = .1;\n", "MWI = floor(abs(MW/T)).*sign(MW);"]}, {"source": ["Extact the fine scale wavelet coefficients."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 25, "cell_type": "code", "language": "python", "metadata": {}, "input": ["MWH = MWI(1:n/2,n/2+1:n);\n", "MWV = MWI(n/2+1:n,1:n/2);\n", "MWD = MWI(n/2+1:n,n/2+1:n);"]}, {"source": ["Display."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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"output_type": "display_data"}], "prompt_number": 26, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "imageplot(MWH,'Horizontal',1,3,1);\n", "imageplot(MWV,'Vertical',1,3,2);\n", "imageplot(MWD,'Diagonal',1,3,3);"]}, {"source": ["__Exercise 6__\n", "\n", "Extract the three fine scale wavelet coefficients (horizontal, vertical,\n", "diagonal directions) and quantize them, for instance with |T=.1|.\n", "Compute the entropy of the three sets together, and compute the entropy\n", "of each set."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "text": ["Entropy, all: 0.287\n", "Entropy, hor: 0.466\n", "Entropy, vert: 0.212\n", "Entropy, diag: 0.157\n"], "output_type": "display_data"}], "prompt_number": 27, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo6()"]}, {"collapsed": false, "outputs": [], "prompt_number": 28, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["__Exercise 7__\n", "\n", "Compare the number of bits needed to code all the wavelet coefficients\n", "together, and the number of bits needed to code independantly each scale\n", "of wavele coefficients for |Jmin=4<=j<=log2(n)-1| (and group together the\n", "remaining coefficients for |j