{ "cells": [ { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "# 2-D Daubechies Wavelets" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "This numerical tour explores 2-D multiresolution analysis \n", "with Daubchies wavelet transform.\n", "$\\newcommand{\\dotp}[2]{\\langle #1, #2 \\rangle}$\n", "$\\newcommand{\\qandq}{\\quad\\text{and}\\quad}$\n", "$\\newcommand{\\qwhereq}{\\quad\\text{where}\\quad}$\n", "$\\newcommand{\\ZZ}{\\mathbb{Z}}$\n", "$\\newcommand{\\RR}{\\mathbb{R}}$\n", "$\\newcommand{\\pa}[1]{\\left(#1\\right)}$" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "*Important:* Please read the [installation page](http://gpeyre.github.io/numerical-tours/installation_python/) for details about how to install the toolboxes." ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "options(warn=-1) # turns off warnings, to turn on: \"options(warn=0)\"\n", "\n", "library(imager)\n", "library(png)\n", "\n", "for (f in list.files(path=\"nt_toolbox/toolbox_general/\", pattern=\"*.R\")) {\n", " source(paste(\"nt_toolbox/toolbox_general/\", f, sep=\"\"))\n", "}\n", "\n", "for (f in list.files(path=\"nt_toolbox/toolbox_signal/\", pattern=\"*.R\")) {\n", " source(paste(\"nt_toolbox/toolbox_signal/\", f, sep=\"\"))\n", "}\n", "options(repr.plot.width=3.5, repr.plot.height=3.5)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Wavelets Filters" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The 2-D wavelet transform of a continuous image $f(x)$ computes the set\n", "of inner products \n", "$$ d_j^k[n] = \\dotp{f}{\\psi_{j,n}^k} $$ \n", "for scales $ j \\in \\ZZ $, position $ n \\in \\ZZ^2 $ and orientation $ k \\in \\{H,V,D\\} $.\n", "\n", "\n", "The wavelet atoms are defined by scaling and translating three mother\n", "atoms $ \\{\\psi^H,\\psi^V,\\psi^D\\} $:\n", "$$ \\psi_{j,n}^k(x) = \\frac{1}{2^j}\\psi^k \\left( \\frac{x-2^j n}{2^j} \\right) $$\n", "These oriented wavelets are defined by a tensor product of a 1-D wavelet\n", "function $\\psi(t)$ and a 1-D scaling function $\\phi(t)$\n", "$$ \\psi^H(x)=\\phi(x_1)\\psi(x_2), \\quad \\psi^V(x)=\\psi(x_1)\\phi(x_2)\n", "\\qandq \\psi^D(x)=\\psi(x_1)\\psi(x_2).$$\n", "\n", "\n", "The fast wavelet transform algorithm does not make use of the wavelet and scaling functions,\n", "but of the filters $h$ and $g$ that caracterize their interaction:\n", "$$ g[n] = \\frac{1}{\\sqrt{2}}\\dotp{\\psi(t/2)}{\\phi(t-n)} \n", "\\qandq h[n] = \\frac{1}{\\sqrt{2}}\\dotp{\\phi(t/2)}{\\phi(t-n)}. $$\n", "\n", "\n", "The simplest filters are the Haar filters\n", "$$ h = [1, 1]/\\sqrt{2} \\qandq g = [-1, 1]/\\sqrt{2}. $$\n", "\n", "\n", "Daubechies wavelets extends the haar wavelets by using longer\n", "filters, that produce smoother scaling functions and wavelets.\n", "Furthermore, the larger the size $p=2k$ of the filter, the higher is the number\n", "$k$ of vanishing moment. \n", "\n", "A high number of vanishing moments allows to better compress regular\n", "parts of the signal. However, increasing the number of vanishing moments\n", "also inceases the size of the support of the wavelets, wich can be\n", "problematic in part where the signal is singular (for instance\n", "discontinuous).\n", "\n", "Choosing the _best_ wavelet, and thus choosing $k$, that is adapted to a\n", "given class of signals, thus corresponds to \n", "a tradeoff between efficiency in regular and singular parts.\n", "\n", "- The filter with $k=1$ vanishing moments corresponds to the Haar filter.\n", "- The filter with $k=2$ vanishing moments corresponds to the famous |D4| wavelet, which compresses perfectly linear signals.\n", "- The filter with $k=3$ vanishing moments compresses perfectly quadratic signals." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Select the low pass filter. We start with the Daubechies 4 filter. Note that the filter should have odd \n", "length, so we zero-padd it." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "h <- array(c(0, .482962913145, .836516303738, .224143868042, -.129409522551))\n", "h <- h/norm(h)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "deletable": true, "editable": true }, "source": [ "Note that the high pass filter $g$ is computed directly from the low pass filter as:\n", "$$ g[n] = (-1)^{1-n}h[1-n]. $$" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "u <- (-rep(1,length(h)-1))**(seq(1,length(h)-1)) # alternate +1/-1\n", "g <- array(c(0,rev(h[2:length(h)])*u))" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1] 0.0000000 0.4829629 0.8365163 0.2241439 -0.1294095\n", "[1] 0.0000000 0.1294095 0.2241439 -0.8365163 0.4829629\n" ] } ], "source": [ "print(h)\n", "print(g)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Up and Down Filtering" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The basic wavelet operation is low/high filtering, followed by down sampling. \n", "\n", "Starting from some 1-D signal $f \\in \\RR^N$, one thus compute the\n", "low pass signal $a \\in \\RR^{N/2}$ and the high pass \n", "signal $d \\in \\RR^{N/2}$ as\n", "$$ a = (f \\star h) \\downarrow 2 \\qandq \n", "d = (f \\star g) \\downarrow 2$$\n", "where the sub-sampling is defined as \n", "$$ (u \\downarrow 2)[k] = u[2k]. $$\n", "\n", "Create a random signal $f \\in \\RR^N$." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "N <- 256\n", "f <- matrix(runif(N),N)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Low/High pass filtering followed by sub-sampling." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "a <- subsampling( cconv(f,h,1),1 )\n", "d <- subsampling( cconv(f,g,1),1 )" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "For orthogonal filters, the reverse of this process is its dual\n", "(aka its transpose), which is upsampling followed by low/high pass\n", "filtering with the reversed filters and summing:\n", "$$ (a \\uparrow h) \\star \\tilde h + (d \\uparrow g) \\star \\tilde g = f $$\n", "where $\\tilde h[n]=h[-n]$ (computed modulo $N$) and \n", "$ (u \\uparrow 2)[2n]=u[n] $ and $ (u \\uparrow 2)[2n+1]=0 $.\n", "\n", "Perform the up-sampling followed by filtering." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "f1 <- cconv(upsampling(a,1),reverse(h),1) + cconv(upsampling(d,1),reverse(g),1)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Check that we really recover the same signal." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1] 5.418214e-13\n" ] } ], "source": [ "print( norm(f-f1)/norm(f) )" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Forward 2-D Wavelet transform" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The set of wavelet coefficients are computed with a fast algorithm that\n", "exploits the embedding of the approximation spaces $V_j$ spanned by the \n", "scaling function $ \\{ \\phi_{j,n} \\}_n $ defined as\n", "$$ \\phi_{j,n}(x) = \\frac{1}{2^j}\\phi^0\\pa{\\frac{x-2^j n}{2^j}} \n", "\\qwhereq \\phi^0(x)=\\phi(x_1)\\phi(x_2). $$\n", "\n", "The wavelet transform of $f$ is computed by using intermediate discretized low\n", "resolution images obtained by projection on the spaces $V_j$:\n", "$$ a_j[n] = \\dotp{f}{\\phi_{j,n}}. $$" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Load a gray-scale image $f$ of $n \\times n$ pixels. " ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "n <- 256\n", "name <- 'nt_toolbox/data/flowers.png'\n", "f <- load_image(name, n)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the image $f$." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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htjz2JXwsUQFonU0dFRxB/QBCE/9jwhM6lcg4N4NmCEPvfcc0tLSzabDQ5qtVp+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"text/plain": [ "Plot with title \"Original image\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(f, 'Original image')" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The algorithm starts at the coarsest scale $ j=\\log_2(n)-1 $" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "j = as.integer(log(n,2)-1)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The first step of the algorithm perform filtering/downsampling in the\n", "horizontal direction.\n", "\n", "$$ \\tilde a_{j-1} = (a_j \\star^H h) \\downarrow^{2,H} \\qandq \n", " \\tilde d_{j-1} = (a_j \\star^H g) \\downarrow^{2,H}$$\n", "\n", "Here, the operator $\\star^H$ and $\\downarrow^{2,H}$\n", "are defined by applying $\\star$ and $\\downarrow^2$\n", "to each column of the matrix.\n", "\n", "The second step computes the filtering/downsampling in the vertical\n", "direction.\n", "\n", "$$ a_{j-1} = (\\tilde a_j \\star^V h) \\downarrow^{2,V} \\qandq \n", " d_{j-1}^V = (\\tilde a_j \\star^V g) \\downarrow^{2,V},$$\n", "$$ d_{j-1}^H = (\\tilde d_j \\star^V h) \\downarrow^{2,V} \\qandq \n", " d_{j-1}^D = (\\tilde d_j \\star^V g) \\downarrow^{2,V}.$$\n", " \n", "A wavelet transform is\n", "computed by iterating high pass and loss pass filterings with |h| and |g|, followed by sub-samplings.\n", "Since we are in 2-D, we need to compute these filterings+subsamplings\n", "in the horizontal and then in the vertical direction (or\n", "in the reverse order, it does not mind).\n", "\n", "Initialize the transformed coefficients as the image itself and set the\n", "initial scale as the maximum one.\n", "fW will be iteratively transformated and will contains the\n", "coefficients." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "fW <- f" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Select the sub-part of the image to transform." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "A <- fW[1:2**(j+1),1:2**(j+1)]" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Apply high and low filtering+subsampling in the vertical direction (1st ooordinate),\n", "to get coarse and details." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "Coarse <- subsampling(cconv(A,h,1),1)\n", "Detail <- subsampling(cconv(A,g,1),1)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Concatenate them in the vertical direction to get the result." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "A <- rbind(Coarse, Detail)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the result of the vertical transform." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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2zZ4na7FUXxer27d+/+7Gc/W6vV2jc7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\nhMgJEnZCCCGEEDlBwk4IIYQQIif8P+3kS/6RUXU0AAAAAElFTkSuQmCC", "text/plain": [ "Plot with title \"First step\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=7, repr.plot.height=3.5)\n", "\n", "imageplot(f, 'Original image', c(1,2,1))\n", "imageplot(A, 'First step', c(1,2,2))" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "deletable": true, "editable": true }, "source": [ "Apply high and low filtering+subsampling in the horizontal direction (2nd ooordinate),\n", "to get coarse and details." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "Coarse = subsampling(cconv(A,h,2),2)\n", "Detail = subsampling(cconv(A,g,2),2)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Concatenate them in the horizontal direction to get the result." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "A <- cbind( Coarse, Detail )" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Assign the transformed data." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "fW[1:2**(j+1),1:2**(j+1)] <- A" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the result of the horizontal transform." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "deletable": true, "editable": true, "scrolled": false }, "outputs": [ { "data": { "image/png": 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Nwc5sgwDPPgYWHHMAwRUa/Xu3v3rq7r8Jn8fn+v19vd3a1Wq51OZ35+fjAYfOtb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ej7uuC2mApbH9hmiHSgRNERGko1W+AllE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\n8aJagNbJYp0dNgONcdeY23Vd9y//8i8nk8nn/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GSE06ODk2hcg0CEOYRCHuqk0EC+78MH6vf7aOeS2E6zLKvT6fi+P51OLy4uwjBEHgpk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\nCFkTKOwIIYQQQtYECjtCCCGEkDXh/wP84cAlJlGdyQAAAABJRU5ErkJggg==", "text/plain": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_wavelet(fW,j)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Implement a full wavelet transform that extract iteratively wavelet\n", "coefficients, by repeating these steps. Take care of choosing the\n", "correct number of steps." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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rIMoXMUpeJf1LrW6/Wurq5oNMrdJyaTKZ1O22w2uLXq9brNZkMUAEIn8GQwxpCU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\nqNBqtVowGAwGg16vV/VMBFiO42iRRL/fj8fjpDgJp8bjcaVSSaVSfr+/Wq1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y+m3A6lG6iwNfv99vt9uxWCwUCh0+fNhq7N4kkIv1+/2X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\n06ZNd9xxx/Xr171ebygUQi0H38aJiQh1YbFYjEQi2WwWE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4bD4Ww2S9dV27jm1FdaYK1WS8V/7B8TY9rHmOpRuhGVSyJZpVKhrQylh9eJ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\netSc7UhuA5w2XBXieAPoKBYKhWBpoJ0HnAw0OJSbA6w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ugcKOEEIIIcQl/B+b0WlHEUn0rQAAAABJRU5ErkJggg==", "text/plain": [ "Plot with title \"D,j=4\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=7, repr.plot.height=7)\n", "layout(matrix(1:12, c(3,4), byrow = FALSE))\n", "\n", "Jmin <- 0\n", "Jmax <- as.integer(log(n,2)-1)\n", "fW <- f\n", "for ( j in Jmax:Jmin ){\n", " A <- fW[1:2**(j+1), 1:2**(j+1)]\n", " for (d in c(1,2)){\n", " Coarse <- subsampling(cconv(A,h,d),d)\n", " Detail <- subsampling(cconv(A,g,d),d)\n", " if (d==1){ A <- rbind( Coarse, Detail ) }\n", " else{ A <- cbind( Coarse, Detail ) } }\n", " fW[1:2**(j+1), 1:2**(j+1)] <- A\n", " j1 <- Jmax-j\n", " if (j1<4){\n", " imageplot(A[1:2**j, (2**j + 1):2**(j+1)], paste(\"H,j=\",j,sep=\"\") )\n", " imageplot(A[(2**j + 1):2**(j+1),1:2**j], paste(\"V,j=\",j,sep=\"\") )\n", " imageplot(A[(2**j + 1):2**(j+1),(2**j + 1):2**(j+1)], paste(\"D,j=\",j,sep=\"\"))\n", " }\n", "}" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "deletable": true, "editable": true }, "source": [ "Check for orthogonality of the transform (conservation of energy)." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/html": [ "'Energy of the signal/coefficients = 0.999999999995924'" ], "text/latex": [ "'Energy of the signal/coefficients = 0.999999999995924'" ], "text/markdown": [ "'Energy of the signal/coefficients = 0.999999999995924'" ], "text/plain": [ "[1] \"Energy of the signal/coefficients = 0.999999999995924\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "paste( 'Energy of the signal/coefficients = ', (norm(f)/norm(fW)) )" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the wavelet coefficients." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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fozf3x8PBqN9vf31cEKVd9a7/b5KKe6TTqbBTS9frLJzdjzGkK3MZ1MJpbIH92d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\nZXRfWuvJYm6Wv83oKlm7LtVtdR5YerC9ovIiL9WR0czZacN2v5j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9VHuOpbFsm1DVsEm67M5m0SXaHEwv1PDpziP+Qj5yDQDXAv/8AEBE\nZDqdhhCWy6XJDpV3IQQVZ5vNZjabea2j2shbdCKyWq3U5CuqPDytt/X6LL269728QlqtVtbr\nTtWP9QTRaSPTyFq+mX4yPSeV+PDh2uZnEjU6jl4EV7haF5H0y/NjfMQ5OtcfVElqJcktt+s4\nKzv1aHQkWqRixqS+3emDAsAlgbADABGR+XxeluVwODTvrSzL5XJpFY79fv/g4MA219JtwcRt\nWqAqZzQamWGjFqBvaBy9EBcC9q6beX6aNufX6bvfmf3m1ZUu2Dy/tBpjMBhEZZupW+bXZveS\nHdOsiiLd2TCP5BRh6n5dhrDzq23e38Kvoe5G2tdqAMBlgLADABERs9bMZjO7SwOCZVmqe2TH\nVXLpTrJq6alJZi+kMvY0Eqrh3ZOTE32rU6Wp/ZEO82FKU29RQFMFkC3Vn+jlVFHlAkayzHxB\nqQlNRlaZuY/+Qn5h6eudrl503VCTVCeXppl8hDol60FmF9YckgaAyybfDhQAnjVMEvntCkx+\n2QAdM5vNdCMvEZlOpxrcXC6XmmCnEmE4HKpMtC2/9KybN28WRaExX53cJ8NFmsB0m4kGrx4s\nGusbhehsJsVUoepuWmW1U6qJLT1RFx9c215/uUjGyXabEtMxg8HAb33r15mm0Mm27DtTjPUq\nZVMkWOuuHvXnaxPmBoBLAmEHACIuVc7wLp16XVZ2enBwoKFb60KiJp/5fP1+32w5zXuzzLbV\naiWVatxsNsPhMN2PweN77eqJ6/XaB2H1uK7TVh5cT2OTgHa6nuv7DPsoZFagROZfhNldfvMM\nk0QNjz37qVeToT4x8Qqw66aBV/+96H8GbcLTAHDZEIoFAJFcspffW0JVy8HBweHh4XA4PDo6\nskJR1XMq10LVwVjFk1SWlQ2Oyh38LqhZ+aLRW/OKbGHBodPqhg2W7eedsGJ7RzKzHiPfTpIY\na7YYNpJidi2zHk3+Zp9wFHj1YrHBthTnVl4NzdfyolNvXKpHFBpz9QDgsuHfHgCIVGWM3s3S\n4lbrPzcejx88ePDw4UP13myPgRCCBmHNxZFKYIXttiN2PG1lZ9rL3tqq7HV2ywdL1ffVsrql\nhOXqRdItsvoaWvh6pzAr1EztGVn5lao3P0N0Of8QvPi7SlUnOYsufav+63A49Kq3OVcPAC4b\nhB0AiFTayDYqtXS0oii0Hd18Pt/b29MBUsmOxWIRQphMJpGbZe3Z9Cff+hKHKu/NhyxNaZmj\n5jWQN8AactFMW+jKda8L/2n0OrLHbBeKaE5bYRSWjR5dds4oNOnPqhN5XuCmmvIaQ5xZE1FV\ne1TsoiDsAK4LhB0AiIj0ej1Nd9N96H0SlTYE1mIIcU2AQwiqzywYJ87LiTYZ8+bWer1eLBb2\naSRcosZ4vmud+W2mC20lkQsYmWF1dpeN0VYv/qM0ZuovKjUyK0qPk0TeNS8p1BTDmurNEj3t\nBtrYfu2tQS1J8Ud8JXXLSQDgYuHfHgCIiJRluV6vVdLZhl2q2EziaCWEVGlqeiS1l2x85FH5\nt1aQoZrMutNp/YFpLBNtYbtS1btrtrDgimHTqO5OTJBJouesRiS9kXSS7LTpkrIemO3MEV3C\npGSdHLTkwrqF1YWD29xCNg7r5/Rx7TQ8DQBXCcIOAJ5QluXJyYlWwoZql7DlcqmaxpSTNjHR\nWlfrjSLVz3xDQzgbaW1TNESrO1uoqtOErdPTUz9ngydnA1TZ+KINHRaS4on0dNl2B+0szRVb\nrVb9fl+DzjZnSIpq/cy2gKKqzE2fRoOJGInL6HjdWc1j2viXdR8VuVIP2S4xTj+quwQAXCoI\nOwB4glpluvGDqpayLMfjcXB7Z1mgrdfr6f4Nvka1KIpHjx5Z4NXH4/wvvUpDfa1xVQvy6kax\nuresJLlx1rXO5o9apaSOnVTeodegUqXi+cn95XSk351My0Qk0W3ROr3KKaqKUd+oL72Wx6vP\nOoXXTMO0NpsdbHl6yBUOmxSOvpQ2piAAXB4IOwAQqfoSaxxWhZcXc1LpDBNJIqJ96azMQufZ\n29uz/sbmn6mdZnN6H85vdKEvTOf50Kq+iDK6THD4tQWX3yZJxzVx2ivUbFfvxaIuyXa/tTG2\nA4c/MbputBKpL631oUxx4snOqjPSpEaoeR1ZbFfvBtd9JnqY2UuYULNV+SYytmZ9yH7nDwC4\nFmhQDPDMM5+LyN/63vc++6MfiSt0iHSDjy2qhNJEt8IRGTaqw1QsejFnVw5VCNX8M538uZMT\nEfnsu+/2v/516w9XVxJrS41MOP+pNx13xjRVp9qai6qXyvNHRyLyM++8M2isVGiev82J557h\nMvAPMP3UK1evJvVZ6X9aAHCVsPELwDPPF78oX/rSdS8CusgXvyj/+l9f9yIAni1w7ACeed54\nQ770pd//9V//we3b0hj4SxPFJJdn5o9H/pzZZnVrSa+ejs/O4B3BipsnEgAAIABJREFUZrvL\n7L0og61hYTrna/fv//0vf/nLv/ALX/vsZ8+04ObJz0f7CXcGiBtOlHbZcumEn/jgg7/3R38k\nf/2vt1khAFwgCDuAZ56iEJH3bt26d+eOVD/SXvfYwGw6/5lUwmq1ivLk0mE2W13vjHRJXqyk\nqWayrVEalGJzZlt/sxGRnxwc6INqXvy5KaqdPyxDseVZUlPDUbekp1mtxcfrBgy0H81HJqAM\n8OxAlisAbGEJ8mk5py+NlLM4OlJ5aVETYNk2zKzLsaINVvxBb8tF+XyRNZhWD9g8qWLzUtLX\nMVgViNJ8dxflyekktnOGv67dTroYq33xk2RlcXSh6BLZK6ZErV78VQq6EwNcK/zzA4AP8cn7\n2qzOtgJrWUcZTSU5ceC9wOAqW9frtVdpelybqvgr7tRYkmsCd3JyIjkxWifyfGGHKqQGveJV\nYMPa2hB5oql+ym7hpR0B21unnugs3xSmITbtX0cuqdWdAMDVg7ADgA/xqsja6kZlj5460Sbb\nCsk+ylp9qXVkUk+q0lobaRuOZa8eHfQB1vF43KCWsisJrmGbNO5/GsU92yT51R1subZoklTt\nNRQRN6/K33KDOm+Y5MITCgGgPQg7ABBxEVipfvttl6o0f8ufJdtCbWfsT5256CONw2bz2yJ3\nzUdmG4RLSzcx1Xmp6ExDnzuDlc1Xb6m36jxCr1YbrqJua8OAhgWkmnunUPNSuP1FAeDCQdgB\nwBap6RL9qGcliGwnqEm9L+V72HrNlKq95kUq0WJS28lruDp1Em2rkA7wYda6UKk02lptEtfS\nAVmLNMp0bJjED6jbAO2iiKQwjh3AdYGwAwARETXMiqTC1F7sjHtG0cA6GWET6m5UljdWVDsZ\nFFU7kobVWkw2MqXSBZiHVLe/WYMKyQZkVfylstK/bc5j2yl6UrVqT8Me8lmDpD7v7Ryqq70Y\nFXw7gGsFYQcAItUPs+7ltdlsNLPNtFFkZUUSQVVOXeDPn2i2nObwaZGs2W9q5jVLSUOVaEN2\nfzawKzVCMyVqtmKvvRIttruKRK5Vw+LrFlO3Kn8hHy5vWP+VEVwTHDtyrSsCeKZB2AGAiMhq\ntVoul0XV6ERf60caY01T6/zbSNbUXcU2GZNK2xXVnq1qSu0syWwTWpVc5UHqmTV7kObM1Q0O\nVSaiqmGTpzsvkU6S4lVyqHY50+M+Zn1lxlj2drye80+YdicA1wj//ABARKTX6w2HwxDCcrm0\nwKj/zbb4Y/rr7kOWkiTbebzpFQV8W3brSDPbmolClmlb3ToDz+K8dnd63B/Up6T1HFHkN5rt\nrKTS2V7sLB85H+nXmnq0DasS919CcxgdAC4VhB0AfEhRFMPh0AKjZVmqSttsNpvNZr1e63YI\ng8EgcmukUjnFdoeUnZeTSkN4SZTqwqxXpGgLt2h8FEK18d7uqtOI2atHVlz619+LndUyJtvS\neDurqM3OEEWlfSi54SG31NyhKqM59woB4ClhSzEAeILXQOqfFUWhSs5v22DaaDQaRaWshau9\nSGXBThMoylHLfhRRFIVGjb1tJsm+ETZn1nmKnoA5jraMBqlqxp7f+CF6INl7b3N32cHN1A3W\ne9HAcVaknmlJsv2EIy17gT4iAJwV/n8VAIi4CKP+Km82G/3ZNimgA3qOxWJhp6cGnm3Y4D0h\nf0VTAJGeOJM4KMtyMBj0+31fk1sUhV9b2C6kaJ7ZdtpII7a+S4sd19hu9h796yg6mTpnUu/b\nqW8aHaw7pUEBi8hms4n2bdP4u1TfV/NK/FX8HXm38srS/gAgC8IOAERcmac5dipZyrKcTqer\n1SrtM5dN9vIzpJ8aWT9PXDy3zYL9DNGEk8nEf9RScPha4HRtdsWsYmuII0sSnczaYw2aLPp2\n/CltRJitymw2m3m1WpmmjyZvwAZ7Efz0kWIAeHoQdgAgUqkHLfCU7ZjmarUaDofRzhB21nA4\nHI1GPlbb5gc+uFKMyOuydh6pWPTYxhg2xr/VG/HqZ6dXV7h2cdEVvTZquCNJXKvUlpNE1TWT\nyqZo8rBrE1v/eKMbCS7k3Rykrrtf2X7y2HUA1w45dgDwBBUB3peyXm72g+3DgqoJ5vO5Dh4O\nh2oIhSRDrpliu3jCNJ/NUJc05kdm1aSux99U3dUlcb/SUGzLG/Hn2otsOLUN0ZKyj6Lh7nzP\n553PUxJLbydezko7BQwAlwqOHQCIVFlTURg0CkT6sKYOFhE184bD4WazWSwWad/gqKGubPtq\nqcgIFc0L9lqz4aZ2bsAVxVWLotD8wuA2z22YwZyq6EU6wLePyQrfuvILP61vJeNFWwMXEiFN\nY7721vepaY5HA8AVgLADgCdEmWR+9yrTHD7856tBQwj9fn8wGGhjFPPSTCxmzTANp0YJZDvF\ngZdH6fEI1YgNhlkULQ0haDMXSzG0copofGqDpXq0SCpGo8V76WyVyNH6JVHYzc8hWkDLBoFK\nXYJjqkS9GekPtol6A8DlgbADgC3SXKs0xyvVNF4NqIQyNy7rQpkxJi5bzkeBG4K5Udw2WmdK\nr9fTqoi62bJHzMK08t6GgGbdndZNrpicNfszvWvvz/nCVU+zZ9myGEWSXdSiNTRMol2asxFt\nALhiEHYAIJLEEP02YqlHVRc/FSdxvEGVulDBbTVhplp6xew6o0mab0pEtCgkGwtunl9dSV3V\nzgy5wgWpG6b1+F3U9FqpCAtVL5K6UG/z7ch2qLR5/ev1OmqG4tfQMEm/39d+h348AFwLCDsA\nENm2wSTRZ1FdRUOQ1KdeqaQwOyplMBho9DZyAZvtOpNZDcP8XVjU2BbpfcfsKdFthhCy6YDp\niXV+VfZcXYOVG9edW1Ttl72j1lIB73xEfoV1lRM7HTj/PHcuDAAuFYQdAHxImkflXSgvQWyM\n/wmPQpah2ti0Tq+ol5ZGAOvCkXZWQ4izzk1M/SR7Ec0fnWhSso1Y8b5am/EqGfW1ZStGE5qd\n6SVd6qKlVl86W3DlL3WLT+dsIw2Dq6FueQoAXAYIOwDIEOkbi2mmmiB1vyLBVGcaWZAxvWK0\nkiikm7X3doZxs5pVX0elpva6KArfsrilvhG360bzrUlV3NAwLApbp8vwgjWaISp5kcrzyzpz\nkXDMXqtukfrw9XJsFAtwvfAvEAAyRCrBK4N0cNZCk1w2Xjpny5idSavUu7Kyg7qAb12I0PLn\nlsul15de29mtnam7W3StNjFc2VbA/vk3h1Mjp9OfVefYSe6xt5etRvYGz/SgAODCQdgBQJ46\nwZGO9GIincHLu1AlvUXeWx12aYsCp9eyEoc6r8j7bZEMsnhxVsUGV1LaUoCeNbcsesjpY2lz\n9UgCRrHaNMx91jhpncS0so9ofPs6XAC4cBB2APCEhh9jr8yaZUGkkEJVuOrV0nq9Vk3QMJsX\nN2VZLpdLS3eLssfO4ahJCwUWpda1aYNn2XJ+YW2WEVlf9tdus6XnF/VAlu0o87lp+I4kefJF\n1QLwKS8KAOcDYQcAIjUpVkpo11VEtmOyRUU0ublrdZfz11WBMhgM+v2+tT5OR7ZRdVk3sWGw\n2ngW4U0z2FLJNRgMdt5UhA8xp+uMHubO+9LkuahjcN3gC8ei5Dh2ANcIe8UCwBMisye7zWgW\nX4UQRf1kWxKF+kqLujm9vJNtHytdeZtF+rPqTtFaXWmMKqbR28hEjOZvTpWzxxKdIjXVsul9\nmT/qQ7ppjl3dAs6HX3MaCAaAqwfHDgCeEAVGvV8l7ZK9suLJfumzMdMzmVuhvgPwOWjww4qq\nhMKn37UMVdeNbFBmhduGK/UFm285CuOK03NXoK5M/fv/PFJ3EwCuDIQdAIhse2mWcV8k7XPb\nJ9j5hDOTLEVRDIfDNEOuzfKyV2k+2JI01c+CxdppTw9mW4TYC6skSLMAm7EWJJJoTf+2YfHZ\ne7kadVVUbQUN2eVNAsClgrADAJHqx9ibRkVRrNdr+7TNJD56a5tTRUFV00lnlR0+QFx36bNS\ntwaVdKEqyK073d+aSbGzumXZkW0kXQN+JelH55iwASuO8YFjHDuA6wJhBwAiNVFUrQaoc9fS\nH+/IdpJtvaXj1+u1lz5nrTOIMtvsWufri1tna+kuZ/5Is1h5+sSyKCBrs51vzga77jK8NL9s\nJB3A9YKwA4AtIs/JZ9pl078ajhQV4uoqIgX2NILAN5k7t17J6kst1PBXqTPAspOkorBhAekT\niz76iEsl/6WnCX8AcMUg7ABAJCdKfKpWcIWW/qystkun9RHYOmst9fbqVmhc4O5VaaZadJWi\nxWZZZVlq3DadrY04i+okTK2etdzkakRVQ4EIqg7gGkHYAYBIznOy3rabzUZbzobtFmU+Xz5L\nUXU1EyfC6iKwbWRTds1PQ3N01dxKvVDUfzgd3+v1LCsxu9Q6MWSGqFZRRIHdBumcnbBl08Fz\nk8advej/WLiMAB0GYQcAIkmjCpNxkvxUm7ZrFhCmAi286H/sm62dhmS+5lKDs9J8oj4E7frb\n0nXL3uxOohZ92XzH7Nvs+pt7ozy9Gk5nsG9TuZCrAMD5QNgBgEhNT12l2C6YLVw7j6gjcXRW\n4epqU70S5ZO1zGDzSvEyyGom3/W3Aa9Ws4ZWQ61GetF05rq32VtoCJVeFKncTKtnAOCKQdgB\nQB77edZebubSaRqZdS+rk1khhPV6bb1CmtVYg0WXvo004oXoPJsk0l6h2tm2QcJKTT6c97HE\nGXINp18gDcHfC7yEicjBYHDW5jgAcBkg7ADgCXVyqnDbuqvI6/f7mgqWpluJc4x8B7jUsWvI\nFWs2qFKr70LCi9nqjaIohsPhzvw/W4BlyInLU2yOnEZXPPeA5oVdEqZW1+u1T6NE2wFcFwg7\nABBpbGmbMpvN1MOrs4XqQroXstRIhF0UXpf4+1osFrItVupct/RTjbG2FzrtTc02p1wNdneD\nwcC+F6KxANcFwg4AROrVUjanbTKZ9Pt9Gx+daCFaaVH3EF2r4aOQ65d2gdTVBIzHY9l+Ptm9\nKLK2pbVKaSl0zqGH6uzSs85zDiIta/H6UO2QBgBXD//2AEAkiZwaqtJM06xWK9mWblJTHpvW\nEPhrZQ82109oKcZFWUHtQ5966V6vZ7dZ5xemKrbhIZx1PS1JU/1s/gtXe6nUNjl7GZYqALQB\nYQcArdDf7OFwmCqwbAVodKTuoL1tVj/66WAwiETkpVpT5j8ZzeMtgGsPob2+ae9HtimJTaX2\nhWQiptcKrj+O/3vtAWKAZxaEHQCI5EpN/ae+38dms2moZkg9Kutmd6YErLpKjosq9myj0rJR\nzga8ENQXfmuyaGQ6WySSWl40GlbnEV5e8Dr7JAnFAlwX/NsDgA+JMur8W1/rGgVtTcrUZelF\nodvBYBDNmZ6V3Z1WRGwPDHH7z57vTs96ys5r6Zr9ndY5dtmMxtS2TPVfCCGNmBfbG5HJtpeW\nnfmyad6lAwAuj/z/mwSAZw2Va5HgMDUQOUl1KqGuVqAsS91HVefxXYs14z4bYPVXN3PIMvSf\nMourjdAJ1eatkditG3+mwoWsYyfuZoukTllz17Jbq5nGTR+atLvZpyc0NqwGgKsBxw4AREQ2\nm01WNKimiYKDdXHSNJKo9Hq9yKUztCVeNI8ZcvY21VVXEOwznepXvjNZrcEea6P5GtRYGy1r\ni7yWLDdUHcC1g7ADAJFqiwWp2eahqHrtZn+5dRcKfV2n7fyE6cHsWf7tFZtPUTC67tPsibaX\nbvq42uut86XW+UtcvcbyUpviCYDrAmEHACKVqSZJ+FUqbbdery0MKtu/3NYKxCK5Z7XT6koi\nUuFy2YrBO16ROad5Y83x1igqWhdv1cB0wzKexnK7LtvMrktAFuAaQdgBwBapN6auVb/fN+Wn\nG4uZ7tEwrp+hQZfUhXGlRpGcuww2KgRpKTWi2/fXVSnWUAq6c8Gh6txrW7Q13FdaSLFzzEcE\nmtgBXCMUTwCAiFNjWSUUWXFRkNEcOzWimqVPQ7w1OzgKa7aXMpHJd77K0LIszX+K9ErdhKnV\nZ1jnXgvXygXlw1kZbLZ4AgCeHXDsAOBD1Idbr9dptxFNs9N0OnObfF8PTdE76+6oDUQlC+ee\nJ7vgltgtSxJfrrvHZsdOX9hK1MNr427uVMCSaPGG8ZfKOZ4zAFwUCDsA+BALFEa5dJEKydaH\n2kdmHdXlzDWnqSm2e9jTCxS/2kha7dQfVjiSXclZa0SyA9LIdXuLsaGi5bpoMCwB4ApA2AFA\nLfYL7WstfQ2sNDZOa4hUFkWh285mKYpiOBw+/fpNaKYfRTqvGR85vVjswabtA+1vg6WnDmva\nL+a6KIpis9k014UAwKWCsAOAD2nO5c86bb7b3M4JbTuyEEKzdNtp+O3kAq2j4iy7vp4JS+Cr\nqyPWS9fdhSrXM+3VdqmoymTbCYBrBGEHACKVWmr+SU7FVkPINcqN0yO+TXHI7Y5lF5JcceWZ\ngrPNw85kbhXbe2NcoH7ynmj2utGL7AzXbtQZZ1LeAHAZIOwAQKTSB5ZdV/fb3L6mNQpfqoIx\n80kv16wj07Sz9PW5Oavsi2psmwefCa/e0vqMc8x/jbrqotIiAeDcIOwA4Am+erT9Wdkktqj1\nRnqKtAvdpoOLorCtZtuc3kCDREv1q//IV11cSO2C3WOkdE0n7bxE+/rZKwDHDuAaQdgBwIcU\nrl2cumtFtZmY1DcQbvghj/w/delMPtYFW/3p6ZiG3PwzaZp05Q334j9Ky0Tk6Xp82CRRnURz\n/uJHk49alS7AswbCDgCeYJLCehHrj7TFT9NYYUPZqRK2W5/4vDpfzll3bloTerGiIes17hwc\nhWXr9FwbnReFmCNzzh5781TXK6RScXxdKwEAQdgBgGGqol8RSYoQgg+Dtiw79Ul1Z1pPXWC0\nbpgkjlfz4OZh7efJBkxbGlepjJNcJ+Sdq73GEgqUHMBHCoQdAGyh0c/VarVarYLbSUxLK8xv\naxATqY/1NJqjpXCUJP0ue9EzVdQ216LKrtBtmwt5bKrztQs56xXJhAPoJAg7AHiCbzJiGk5F\nxmazKcvSN1TL1j/6GVpGOXfKi/a5a1qHu9lsdgaI29CyZMG0nZmF5275YSdmb/nCdRhOG0An\nQdgBwIdYSpxVaGobYVMb1rUk27C3TtOYBZWaUjsbZNQJLOvMYn1VNAWw3++30WRt2Kml/FV8\nJxdJ7qiNLNOHb7LYJyamE7bkonxTAPi4MLjuBQDARwIv3UwnReULxfauqSY+dmoOFVvihKPK\nMp9VdibhUhTFcrlUGSdO2/klPb2Oa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"text/plain": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=7, repr.plot.height=3.5)\n", "plot_wavelet(fW,Jmin)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Inverse 2-D Wavelet transform" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Inversing the wavelet transform means retrieving a signal `f1` from the\n", "coefficients `fW`. If `fW` are exactely the coefficients of `f`, then\n", "`f=f1` up to machine precision. \n", "\n", "Initialize the image to recover `f1` as the transformed coefficient, and\n", "select the smallest possible scale." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "f1 <- fW\n", "j <- 0" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Select the sub-coefficient to transform." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "A <- f1[1:2**(j+1),1:2**(j+1)]" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Retrieve coarse and detail coefficients in the vertical direction (you\n", "can begin by the other direction, this has no importance)." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "Coarse <- A[1:2**j, , drop=F]\n", "Detail <- A[(2**j + 1):2**(j+1), , drop=F]" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Undo the transform by up-sampling and then dual filtering." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "Coarse <- cconv(upsampling(Coarse,1),reverse(h),1)\n", "Detail <- cconv(upsampling(Detail,1),reverse(g),1)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "deletable": true, "editable": true }, "source": [ "Recover the coefficient by summing." ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "A <- Coarse + Detail" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Retrieve coarse and detail coefficients in the vertical direction (you\n", "can begin by the other direction, this has no importance)." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "Coarse <- A[,1:2**j, drop=F]\n", "Detail <- A[,(2**j + 1):2**(j+1), drop=F]" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Undo the transform by up-sampling and then dual filtering." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "Coarse <- cconv(upsampling(Coarse,2),reverse(h),2)\n", "Detail <- cconv(upsampling(Detail,2),reverse(g),2)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Recover the coefficient by summing." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "A <- Coarse + Detail" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Assign the result." ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "f1[1:2**(j+1),1:2**(j+1)] <- A" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Write the inverse wavelet transform that computes `f1` from the\n", "coefficients `fW`. Compare `f1` with `f`." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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4uL3/zmN0Xk0UcfFZH3v//9InLq1CkRed/73icit912G+Lsa1/7mrzSrsxmDici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\nRpZ1DhfRAAAAAElFTkSuQmCC", "text/plain": [ "Plot with title \"j=6\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=5, repr.plot.height=5)\n", "layout(matrix(4:1, c(2,2), byrow = TRUE))\n", "\n", "f1 <- fW\n", "for (j in Jmin:Jmax){\n", " A <- f1[1:2**(j+1),1:2**(j+1)]\n", " for (d in 1:2){\n", " if (d==1){\n", " Coarse <- A[1:2**j, , drop = F]\n", " Detail <- A[(2**j + 1):2**(j+1), , drop = F]\n", " }\n", " else{\n", " Coarse <- A[,1:2**j, drop = F]\n", " Detail <- A[,(2**j + 1):2**(j+1), drop = F]\n", " }\n", " Coarse <- cconv(upsampling(Coarse,d),reverse(h),d)\n", " Detail <- cconv(upsampling(Detail,d),reverse(g),d)\n", " A <- Coarse + Detail\n", " }\n", " j1 <- Jmax-j\n", " if (j1>0 & j1<5){\n", " imageplot(A, paste(\"j=\",j,sep=\"\"))\n", " }\n", " f1[1:2**(j+1),1:2**(j+1)] <- A\n", "}" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Check that we recover exactly the original image." ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/html": [ "'Error |f-f1|/|f| = 8.54696306036776e-12'" ], "text/latex": [ "'Error \\textbar{}f-f1\\textbar{}/\\textbar{}f\\textbar{} = 8.54696306036776e-12'" ], "text/markdown": [ "'Error |f-f1|/|f| = 8.54696306036776e-12'" ], "text/plain": [ "[1] \"Error |f-f1|/|f| = 8.54696306036776e-12\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "paste( 'Error |f-f1|/|f| = ' , norm(f-f1)/norm(f) ) " ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Linear 2-D Wavelet Approximation" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Linear approximation is performed by setting to zero the fine scale wawelets coefficients\n", "and then performing the inverse wavelet transform.\n", "\n", "Here we keep only 1/16 of the wavelet coefficient, thus calculating an $m$\n", "term approximation with $m=n^2/16$." ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false, "deletable": true, "editable": true, "scrolled": true }, "outputs": [], "source": [ "fW <- perform_wavortho_transf(f,Jmin,+1,h)\n", "eta <- 4\n", "fWLin <- matrix(0,n,n)\n", "fWLin[1:n/eta,1:n/eta] <- fW[1:n/eta,1:n/eta]\n", "fLin <- perform_wavortho_transf(fWLin,Jmin,-1,h)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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9/3S6VSOp1uNBqtVgsLYGKcjpyKk7+hqhfRi9d3gQWIk8i6FIP5beKKMLBnMpnE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\niDApy3RSe82hI+3IKYxNdfwrF1PXiFEnOY5XqiC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Eni7kEQthp9PpYDCgPvg//sf/WK1WX758md5ha4gAACAASURBVEwmKaUo7KTbSNag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\nFIJwtZwUkYeYQBBcXV0Nh8N+v5/LoCieUF3XLAHjaal4df1+XzqDH3Qa8q5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"text/plain": [ "Plot with title \"Linear, SNR= 16.6797768871062\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=7, repr.plot.height=3.5)\n", "\n", "elin <- snr(f,fLin)\n", "imageplot(clamp(fLin), paste('Linear, SNR=',elin))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Non-Linear 2-D Wavelet Approximation" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "A non-linear $m$-term approximation is obtained by keeping only the $m$\n", "largest coefficients, which creates the smallest possible error.\n", "\n", "\n", "Removing the smallest coefficient, to keep the $m$-largest, is\n", "equivalently obtainedby thresholding the coefficients to\n", "set to 0 the smallest coefficients. \n", "\n", "\n", "First select a threshold value (the largest the threshold, the more\n", "agressive the approximation)." ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "T <- 0.2" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Then set to 0 coefficients with magnitude below the threshold." ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "fWT <- fW * (abs(fW)>T)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display thresholded coefficients." ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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CLMWaZLwGSt6Z0mSRJkDwZphUIhFAppmjY0NEREnX4ugUDA4/EUi8VisYgaIW0O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CYbi+2+22Wi2mFBhDHI1GsVisXC7T7dLv9wi+oGQAAAztSURBVMmFGmMikUiv1ysW\ni+zQoMeVOFJmOUi0drvdUqkkwxicDUUMO33zy0S4RTacyzXGNJvNRCKxvb39kn8YFEV5dVEh\nXB7GHhhfE5mRpYCkN2mHqVarBDG4siUSiX6/v7m5ScIwHo/n8/n5fJ5MJmOx2OPHj6fTKYnH\ner2OAzUZv3K5TF0tlUoRHcbj8WaziR7TXCptn/l8PpvNknsUm1P0Q1YBU+CkLxRFCX9hAjdU\nrmmM6XQ6mUyGMxONkQ5lpJJipBVYkvK6cPE+PT2lxIindnjv0ng8ns1m2WxWTGfoVhVRfMIZ\nXNpEecOlJ9YYw28Gvu/v7++/5B8GRVFeXVQIl8f3fbpFRqMRubvJZMKe23g8ThYxm83m83nG\n4+r1+tra2u/+7u9ibN1qtYi0crmcZVlra2uTyaRcLjOPSIDI5nfyruEa3mQywdFb+jBZB0jX\nDN/OMB9yghGMqIVcajabFYvFbDZrjPE8L5/PDwYDLojRKE9GwIwxuVyO7x0Ohxi8Mf/Q7/fT\n6XQ6nY7H45lMxvf9RCLRarVarZYxZjqd5vN5qpLSpyPz8ug6L0GmEvkuCfX8r26SkhFJy7Jk\npt4KTOBIJr/0HwfllUHNZZQn0M+L5aGfZW9vj1QeYRBGnTiI8nE8n8+RAYK8W7duMXeBvF25\ncoUp9Xv37hlj7t27Nw+Q3RHsuEdIyDGiKDReymEo0dFRKalCiQKNMQR2BFsmmJfANYYndzod\nXLYJrUhOnp6eMisp25GoQTIKQs9qNBp1XXcymVBuPD4+xlggnU7zMpEobspyKJkmROml+VNU\njVKlfFdY26xgmZQMGvLtNKZWKhUVQuXf4OuyG1VeG/TzYnk8zzs4OKClk+QkEVKv19vc3EQA\nms1mp9O5d+8e1TJKXMwa1ut113U/++wzhKRWq2HeTQuJxDcm2NKHvBGDIgDpdBqfM+Y3TDDR\nUSgUrMCTTNw4SYdagVWbHziuyU5EYwwZWmMM7T/oUDqdZj/GbDZLJBK5XA5dzGazk8mERhjO\nkEwmE4kETqFExn7IyCbc4WlCZjG8xrAJqhW4tfEENnj4X7UeNUFEaIUW9kp/6ZdffvlSfgQU\nRXkdUCFcnkQigfIxY8cWhZOTk0wmM5lMMplMo9FgZu6tt97CSzqXy9m23e124/F4q9Xif2UJ\nLXseCoWCfLIbYwgNzVfN0gQvIPy/vV7PDwxZ5Pni1SI7BdPpNF7hNLbQR4rnp+d5eAXE43Gm\nQajt4YJGKjh8NvKZMpuBybgcklBSFE4aPuUJ4Zzn03VKx3GIPsPfRYwoYWW4XhiPx9fX17+G\nv2BFUVYDFcLlYd6AOGk0Gu3t7cVisVwu9/nnn7MJoVQqbWxsJBKJwWDAJ/VgMGi1Wru7uzJ7\nMJvNyAHO5/PxeMzaehOac5CxP24aNrmWeFFqfhJUmVA7CYGdZCBbrRb64TjOgwcP9vf3k8mk\nCRyxMQSPxWLNZjMWizHnQEcMjjkcBvs3SpvyiMgY6VkuiKcMy+4lkjNfFT++ePoRQYK/8DO5\nBcEujUjNZrPf7z948EA31CuK8uzoQP3yzOdz13Udxzl37lwikRiPx8z/ra+vO45DvGiMwSOG\nVkkqcKzepU2UnKcxhm5Jsf1EwCS9GV7CHhYS6RaRfKkJRJRDUpNDKgqFwmg0qlar2Lvkcrn/\nnyZttUxg18kLsW07k8lQUyQWRPlMkKeV+zYaDXpzCHmpO+IMJ4Zn0WhUQjcTUmiJ6sKBoPmq\nm3b4+WFpl/wqYx6IbqlU4pX6Bwcv7cdAUZRXHRXC5RFDk0ajkU6nJcOJd4zruiQ/mXsbDAbh\n7k3Lsnq93nA4fOONN9rtNo8Tfkmc5wczfNJ3I1VDE2oYkaE9E1KaRCKBGPMI5tr0dnIX9k7g\n9pkKrWRiFh7zUlKdxJEcnm5VOnd4DrEXwXEkEnFdV4qL1ld3QoVTo37IbtR8VerCr1HeB2RY\n1lwAmmeMSSaT5XKZi7fbbWltVRRFeRY0Nbo8REL5fJ5QKZlMslmp2+0yA57JZIwxmL/gXp1K\npXK5HN+YTCY3NzfZRIFVqW3bxWKRkEvusre3R/YPGUDzZKgACWFqQpSG3lHiMJ6/WCzW19dL\npRLhHQlYelNzuRw3koyrFQxdiB8pB5hMJkwrmlDyU/wEeIStFDwTzx2+BW0jD0yn6xPjEFQ3\nJZErJ0HwJAw1oeqgH2ycGA6HR0dHXDOVSsmOYkVRlGdBhXB50CESicPhkB0U1PmMMdFodH9/\nH9cV2kFl6bxM0bGJaTaboRyiASgQqdRvfetb3A4VlBwjLi22bRNrSh6VW4fdWIwx/X7/0aNH\n0Wi01+vZtt3v97kL7TkoU6FQYFp/MplIcpJQFUElryvtneRyUVamHpn8Gw6H8g5IJlNeDu+P\nHzL+BisYqPA8T16meMdIZ6n0u+I5J9bbcsF0Oj0ajZ5oKVIURfk3UCFcntFohOE1H/2WZZVK\nJb5AKq5fv16r1SzLIioiqut0OvIpz0AecRVBFd0lfKYTsY3HY5biSlC1WCySyWSv15tOpwgV\nqiAhnSRg0YP5fF4qlSqVysnJSSqV8jxvbW2NOPXcuXNsljDGsFZpsVgwHUFlkXQozbEciRIg\nh6f8SR6YY+Mayp9yGFF9sfxmal4iRcuy6NDhrUCb+VMpGUpBlPcQpWdgIxaLYV8gDgCEsGf2\nY6EoyquG1giXwveNMW87zuZgMDo+NsbwaZ5MJouRCCU93MJSxojxdMa2I5FIabHIZDLoVjqd\n7t68uZvJyD5bE6rzJZNJx3Fms9k7hYKzt4eUSrNMMRolmCsuFv1+fz0w6pQZBmSG8AtT7O1U\niqrkBx98cP7cuclkcvyLX6yXSsnRyBgTPz6u375N3CkrkyzLyluW67qFZJKa3Gw2KyeT0jHr\neR5FUB5BvXJBoGaCtKekOvkloBJ0dfJG8WS+PfyrgCzaFU2VUA81dV03k8m4jcZbGxuNRmOx\nWJhIJJPJpI6O5K9JeT3xfWNM6f79yGuxcisxGBhj0q1W7Ve/OuuzfD3ksTl8Rf4NqhAuxccf\nG2Mu/PznZ32OJbn0mx489/77595//2Uf5YWiBiKvMR9/bIy59r/+11mf4+tk65/+aeuf/ums\nT/G18or8G1QhXIo//VMTi5nvfc88NfH2qnLzprl40RQKZ32OrwnfNx9+aP7rfz3rcygvDP03\n+A3nlfo3aGlbgaIoirLKaE+BoiiKstKoECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiKstKo\nECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiKstKoECqKoigrjQqh\noiiKstKoECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiKstKoECqK\noigrjQqhoiiKstKoECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiK\nstKoECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiKstKoECqKoigr\njQqhoiiKstKoECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiKstKo\nECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiKstKoECqKoigrjQqh\noiiKstKoECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiKstKoECqK\noigrjQqhoiiKstKoECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiK\nstKoECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiKstKoECqKoigr\njQqhoiiKstKoECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiKstKo\nECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiKstKoECqKoigrjQqh\noiiKstKoECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiKstKoECqK\noigrjQqhoiiKstKoECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiK\nstKoECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiKstKoECqKoigr\njQqhoiiKstKoECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiKstKo\nECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiKstKoECqKoigrjQqhoiiKstKoECqKoigrzf8D\nQV6fz0+v+9UAAAAASUVORK5CYII=", "text/plain": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=5, repr.plot.height=3)\n", "layout(matrix(1:2, c(1,2), byrow = TRUE))\n", "\n", "plot_wavelet(fW,Jmin)\n", "plot_wavelet(fWT,Jmin)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Plot the (log of) the coefficient in decaying order." ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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SFOTk43b96MiIiYO3cugKefIdOZRo0aHazEmqoKhSIgIKD8Phs3bgQglxvSPYlE\nVc7ICM2bIylJ6joqStOwCwkJOX78+JIlS+bMmTNnzpzSX7366qvTpk2rhtqISL+4ueHYMTx4\nADMzqUvRnhZHK4sXL969e/fAgQPr1atnZGRkZWXl5+e3Zs2abdu2GRlp8dhZleMjE0S64ewM\nlQoG+lyodiEVFBQUFBRUTaUQkZ5zcgKAq1ch0VX6SuF1KCLSlKMjAPz9t9R1VEh5R3ZanRvy\nCS2iGq9+fQC4fl3qOiqER3ZEpCl12F29KnUdFVLekZ2hHKwZSp1Ehq5ePcBgT2N5ZEdEmjI1\nRa1ayM2Vuo4KYdgRkRbq1DHUtQAYdkSkBWtrHtkRkQAsLGCgy0gy7IhIC3XqICtL6iIqhGFH\nRFqwsEBeHgzxDgiGHRFpQb0EgCG+Q5ZhR0RasLICgLt3pa5Deww7ItKCuTkAPHggdR3aY9gR\nkRZMTADg4UOp69Aew46ItGBqCjDsiKjGU5/GcoKCiGo4Y2MAKCiQug7tMeyISAu1agGAzl+e\nWgUYdkSkBfUEBY/siKiGUygAoLBQ6jq0x7AjIi2ow67c18rrKYYdEWmBYUdEQjDcVzQz7IhI\nC7xmR0RCUB/ZcYknIiI9xbAjIi3I5QCP7IhIEAw7IiI9ZWBhl56ePmzYsJdeekn9MScnZ8aM\nGW5ubrVq1bK1te3Ro8fOnTulrZCoZjPc01gjqQvQQmJiYufOnfPy8tQf79y54+fnl5KSov74\n6NGjXbt27dq1a/LkyStWrJAZ7u1ARHrPEMPOkI7s5s2bl5eX5+3tffbsWQDz589PSUlxcHBY\nt25dVlbWjRs3vv76a0tLy6+//josLEzqYolIvxhS2B06dAjA6tWrPT09AWzduhVAWFjY6NGj\n7ezs6tatO2nSpP/9738AVq1aJW2pRKRvDCns7t69C6BFixbqj9evXwfQrVu30n369OkDoOTc\nlohIzZDCzsnJCUBaWpr6o4uLC4D7T64PnZ+fD0AuN6RxEZEOGFIo9OrVC8DUqVPVcxShoaEA\noqKiSveJjIwE0L59eykKJCL9ZUizsR999FF0dHRCQoKXl9fbb7/drVu3t956a+bMmaampr17\n9y4oKIiIiPjXv/4lk8k++ugjDbepVCpjY2Pzy11k+tKlSwCKiooqPwQiQ2e4z8YaUtjVq1fv\n0KFDY8aMOXDgwMyZM0vaR40aVfJnY2PjFStW+Pv7a7jNAwcO9OvXT5OeV4TufnYAAAwdSURB\nVK9e1aZYItIvhhR2AFxcXPbv33/48OGdO3cePHgwIyMjJycnPz/f0tKycePGnTt3fvPNN9Vz\ntRrq2rVrfHy8stylCH/88cdvvvlm6NChlS6fiCRjYGGn5uvr6+vrWyWbUigUAQEB5fdR39Zn\nrH6FHJHYDPdufUOaoCAiPWGI1+xqQtjJZDI+HEZE5asJYUdE9EIMOyISAsOOiITAsCMiLRju\n5XGDvPWkDJUhzgwRGSbDfYKCR3ZEpDWGHRGRnmLYEZEQGHZEJASGHRFpwckJJiZwdpa6Du3V\nhNlYItKZ5s3x8KHURVQIj+yISAgMOyISAsOOiITAsCMiIXCCQlPHjx9/8ODB0+2FhYU//PCD\nk5OTzt7fWFRUdOnSJRcXF12+MVL3OxVhj5LstKio6MqVKyEhIUZGVf/XX72st35i2L2Y+ndi\n2rRpUhdCVGXWr19ffRvXz3cYMOxebOTIkbVq1XreqxSPHz++Zs2aPn36uLm56aaetLS0mJgY\nXe5Rkp2KsEdJdqre48SJE9u2bVsd25fL5YMHD66OLVeWiipny5YtALZs2VKD9yjJTkXYoyQ7\nlWSY+oATFEQkBIYdEQmBYUdEQmDYEZEQGHZEJASGHREJgWFHREJg2BGREBh2RCQEhl1lmZmZ\nATA3N6/Be5RkpyLsUZKdSjJMfSBTGeILIPWJUqk8dOiQn5+fQqGoqXuUZKci7FGSnUoyTH3A\nsCMiIfA0loiEwLAjIiEw7IhICAw7IhICw46IhMCwIyIhMOyISAgMOyISAsOOiITAsCMiITDs\niEgIDDsiEgLDjoiEwLAjIiEw7IhICAw7IhICw67i9u/fHxQUZGdnZ2trGxAQEBMTI3VFjz14\n8GDBggXe3t5WVlZmZmYeHh4zZ87Myckp002TIeiyT2VcvnzZzs5OJpNJO4TqGOb169enTp3a\npEmTWrVqOTo6Dhw4MCkpqYaNURdUVCHR0dFPr2q9cuVKqetSqVSqvLy8tm3bPv3f2sPDIycn\np6SbJkPQZZ/KUCqVXbt2feavtKEP888//3RyciqzTQsLi/T09BozRt1g2FVEXl6eo6MjgJkz\nZ2ZmZubm5i5dulQul9eqVeuvv/6SujrVF198AcDBwSEiIuL27du5ubnbtm1T/4V555131H00\nGYIu+1TSggULSv7ilW6vAcNUh7ifn9+pU6fu379/9OhRb29vAMOGDasxY9QNhl1FfPvttwCC\ngoJKN4aEhACYN2+eVFWV8PHxAbB169bSjXv37gVQv3599UdNhqDLPpVx9OhRIyMjGxubp8PO\n0Id56NAhAM7Oznfu3ClpPHv2LIC6devWjDHqDK/ZVYQ6OMaOHVu6sW/fvgD27dsnTU2lpKen\nAwgKCird+MorrwDIyspSf9RkCLrsU2H37t0bNmxYYWHhqlWrnv7W0Ie5c+dOAFOnTrW0tCxp\n9PT0VKlUN27cqBlj1B2p09Ygubu7A0hNTS3dmJaWhlKHTvomOjoagLe3t/qjJkPQZZ8KGzVq\nFIAxY8ao/nlPXulvDX2Yvr6+AE6cOLFs2TJ3d3cTExMXF5eZM2eWPtAz9DHqDMOuIuzs7ADc\nu3evdKN6rtPU1FSqqsoRHx9vb28P4Pvvv1e3aDIEXfapmM2bNwN4+eWX7969q3pW2Bn6MJ2d\nnQG89dZbZY5RPD09s7Oza8YYdYZhVxHq2SilUlm6sbCwEIBCoZCqqme6devWxIkTZTKZTCab\nO3duSbsmQ9Blnwq4dOmStbW1kZHR0aNH1S1Ph52hD9PCwgKAtbX16tWrMzMz7927t23btjp1\n6gB4//33a8YYdYZhVxFmZmYASp9KqFSqvLw8AJaWllJVVYZSqVyxYoX6f8Vubm579+4t/a0m\nQ9Blnwrw8/MDsGDBgpKWp8PO0IdpZGQEIDw8vHTj2rVrATRp0qRmjFFnOEFREQ4ODgBu3bpV\nulF9wbh+/frS1PSkzMzMgICA0NBQlUq1ZMmSM2fOdOvWrXQHTYagyz4VoJ6pnD17tuwf6vbS\nfzb0YarnJXr37l26sV+/fgAyMjJqxhh1hmFXEZ6engCOHTtWuvH06dMAWrZsKU1NpeTn5wcH\nByckJPTp0+f8+fPTp083MTEp00eTIeiyTzUx9GE2btwYQEFBQelG9Udzc/OaMUadYdhVRHBw\nMICNGzeWbgwPDwfQs2dPaWoqJSws7PTp0/7+/tHR0epbQJ+myRB02acCnj5PKd1eM4bZuXNn\nAFu2bCndGBUVBaBdu3Y1Y4y6o9OT5pri1q1b6ivHs2fPzs7OzszM/OCDDwA0aNCgzESVJHr1\n6gXgxIkT5fTRZAi67FMlnv6VNvRhnjlzxsjIyNzcfNmyZdeuXcvKygoPD1ef2+7YsaNmjFFn\nGHYVtGHDhjLPnJuYmMTGxkpdl0qlUj39KOUz//emyRB02afynvn/b0Mf5vLly59e3WDSpEk1\naYy6wbCruLi4uC5dulhaWtra2vbo0ePw4cNSV1RMPWX2PKV7ajIEXfappGeGnY6HUB3D3LNn\nT2BgoIWFhbm5edu2bdesWVNUVFTDxqgDMtU/vyJERDUYJyiISAgMOyISAsOOiITAsCMiITDs\niEgIDDsiEgLDjoiEwLAjIiEw7IhICAw7IhICw46IhMCwIyIhMOyISAgMOyISAsOOiITAsCMi\nITDsiEgIDDsiEgLDjoiEwLAjIiEw7IhICAw7IhICw46IhMCwIyIhMOyISAgMOyISAsOOiITA\nsCMiITDsiEgIDDsiEgLDjoiEwLAjIiEw7EgCMplMJpPpw0ZIHAw7IhICw46IhMCwIyIhMOxI\neiVX38LCwjw9PU1NTZs0abJo0SKVSlXSJzc3d9KkSQ4ODjY2NiNHjrxz584zNxUZGenv729t\nbW1ubt6qVatFixY9ePBA/VV4eLhMJnN2dr57925J/x49epiYmHz11VfVOT7SDyoinSvzu6f+\nuGDBgjK/nIsXL1Z3UCqVnTt3Lv3Va6+99vQv8AcffPD0b7i3t3d2dra6Q9++fQGEhoaqP65d\nuxZAhw4dCgsLdTJukhLDjiTwzLCzsrIKDw+/d+9eRkZGv379ADRv3lzdYePGjQDs7OyioqJy\nc3Pj4uIcHR3LbGTPnj0A3NzcduzYkZOTk52dvXv37ubNmwOYN2+eus+1a9dsbW3lcvmRI0du\n3LhhZ2dnZmaWmpqqy7GTVBh2JIFnht26detKWv744w8AtWvXVn/s1asXgJUrV5Z0CAsLK7OR\ngQMHAjhz5kzpHZ07dw5A48aNS1o2bNgAwMvLS31suHTp0iofHeknmarUZREi3VBfoSv53VN/\nzMnJsbGxUbcUFRUpFIqSPo6Ojjdv3szIyHB2dlZ3uHLlivrPJRt56aWX/v7772fuztTUtOTK\nHYCBAwdGR0cD8Pf3j4+P5816guAEBekLa2vrkj/L5U/8ZmZnZwMoOXUF4ODgUObHs7Kynrfl\nhw8flv44ceLEkj8w6cTBsCN9UU7u1K5dG8DNmzdLWm7cuFGmj6Wlpbr96fOXoqKikm75+fnv\nv/++Okw//PDD0jOzVLMx7MgAeHl5AYiJiSlp2bFjR5k+Pj4+ALZv31668eDBgzKZzM3NraRl\n9uzZ58+fnzx58qhRo/76668ZM2ZUY92kV3R7iZBIpXrOBEU5fZYuXQrAzs5u586dubm5sbGx\ndevWLfNTERERAKytrdeuXXvjxo2cnJzt27e7uroCWL16tbrP4cOH5XJ5/fr1c3Nzs7Ky1BvZ\ntWtXNQ+X9ALDjiSgbdjl5+erD9xKzJo16+mfKrkYV9rQoUOLiopUKtX9+/fd3d0BbN26Vd1/\ny5YtABo2bHjnzp1qHC3pB4YdSUDbsFOpVLdu3Ro1apSlpaWDg8O//vUvpVL5zJ/asGFDhw4d\nzM3Nrays2rVrt2rVKnXSqVSq9957D0CfPn1K9x8wYACAiRMnVuXwSC/x1hMiEgInKIhICAw7\nIhICw46IhMCwIyIhMOyISAgMOyISAsOOiITAsCMiITDsiEgIDDsiEgLDjoiEwLAjIiEw7IhI\nCAw7IhICw46IhMCwIyIhMOyISAgMOyISAsOOiITAsCMiITDsiEgIDDsiEgLDjoiEwLAjIiEw\n7IhICAw7IhICw46IhMCwIyIh/D8i/re2UQr3nAAAAABJRU5ErkJggg==", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=3.5, repr.plot.height=3.5)\n", "\n", "m <- round((n**2)/(eta**2))\n", "v <- reverse( sort( ravel(abs(fW)) ) )\n", "plot(log(v, 10), type=\"l\", col=\"blue\", style = \"d\")" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Find the thresholds $T$ so that the number $m$ of remaining coefficients in the threshold coefficients\n", "are $m=n^2/16$. " ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "T <- v[m]" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the corresponding non-linear approximation." ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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3zxxYmJCVbnmYJ5OJAreYbFYTJxoIc8RsV2vICjSWATtCDa7LhZOFKgQuJ0mOpS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\nbJFGFAJDHRFAePny5dHR0WAwwA7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Jmj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\nxY4Q4gT/AGRAElWn2LuKAAAAAElFTkSuQmCC", "text/plain": [ "Plot with title \"Non-linear, SNR= 20.9353472725337\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fWT <- fW * (abs(fW)>=T)\n", "fnl <- perform_wavortho_transf(fWT,Jmin,-1,h)\n", "enl <- snr(f,fnl)\n", "imageplot(clamp(fnl), paste('Non-linear, SNR=', enl))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Exercise" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "*Exercise 1:* Compare the approximation obtained using wavelet with different number of vanishing moments." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "*Exercise 2:* Implement a 2-D separable wavelet transform." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "*Exercise 3:* Display a 2-D wavelet by applying the backward transform to a Dirac (i.e. all zeros excepted a single 1 at a well-chosen position)." ] }, { "cell_type": "raw", "metadata": { "deletable": true, "editable": true }, "source": [ "" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "R", "language": "R", "name": "ir" }, "language_info": { "codemirror_mode": "r", "file_extension": ".r", "mimetype": "text/x-r-source", "name": "R", "pygments_lexer": "r", "version": "3.4.3" } }, "nbformat": 4, "nbformat_minor": 1 }