{ "cells": [ { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Stein Unbiased Risk Estimator\n", "=============================\n", "\n", "*Important:* Please read the [installation page](http://gpeyre.github.io/numerical-tours/installation_python/) for details about how to install the toolboxes.\n", "$\\newcommand{\\dotp}[2]{\\langle #1, #2 \\rangle}$\n", "$\\newcommand{\\enscond}[2]{\\lbrace #1, #2 \\rbrace}$\n", "$\\newcommand{\\pd}[2]{ \\frac{ \\partial #1}{\\partial #2} }$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\umax}[1]{\\underset{#1}{\\max}\\;}$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\uargmin}[1]{\\underset{#1}{argmin}\\;}$\n", "$\\newcommand{\\norm}[1]{\\|#1\\|}$\n", "$\\newcommand{\\abs}[1]{\\left|#1\\right|}$\n", "$\\newcommand{\\choice}[1]{ \\left\\{ \\begin{array}{l} #1 \\end{array} \\right. }$\n", "$\\newcommand{\\pa}[1]{\\left(#1\\right)}$\n", "$\\newcommand{\\diag}[1]{{diag}\\left( #1 \\right)}$\n", "$\\newcommand{\\qandq}{\\quad\\text{and}\\quad}$\n", "$\\newcommand{\\qwhereq}{\\quad\\text{where}\\quad}$\n", "$\\newcommand{\\qifq}{ \\quad \\text{if} \\quad }$\n", "$\\newcommand{\\qarrq}{ \\quad \\Longrightarrow \\quad }$\n", "$\\newcommand{\\ZZ}{\\mathbb{Z}}$\n", "$\\newcommand{\\CC}{\\mathbb{C}}$\n", "$\\newcommand{\\RR}{\\mathbb{R}}$\n", "$\\newcommand{\\EE}{\\mathbb{E}}$\n", "$\\newcommand{\\Zz}{\\mathcal{Z}}$\n", "$\\newcommand{\\Ww}{\\mathcal{W}}$\n", "$\\newcommand{\\Vv}{\\mathcal{V}}$\n", "$\\newcommand{\\Nn}{\\mathcal{N}}$\n", "$\\newcommand{\\NN}{\\mathcal{N}}$\n", "$\\newcommand{\\Hh}{\\mathcal{H}}$\n", "$\\newcommand{\\Bb}{\\mathcal{B}}$\n", "$\\newcommand{\\Ee}{\\mathcal{E}}$\n", "$\\newcommand{\\Cc}{\\mathcal{C}}$\n", "$\\newcommand{\\Gg}{\\mathcal{G}}$\n", "$\\newcommand{\\Ss}{\\mathcal{S}}$\n", "$\\newcommand{\\Pp}{\\mathcal{P}}$\n", "$\\newcommand{\\Ff}{\\mathcal{F}}$\n", "$\\newcommand{\\Xx}{\\mathcal{X}}$\n", "$\\newcommand{\\Mm}{\\mathcal{M}}$\n", "$\\newcommand{\\Ii}{\\mathcal{I}}$\n", "$\\newcommand{\\Dd}{\\mathcal{D}}$\n", "$\\newcommand{\\Ll}{\\mathcal{L}}$\n", "$\\newcommand{\\Tt}{\\mathcal{T}}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\al}{\\alpha}$\n", "$\\newcommand{\\la}{\\lambda}$\n", "$\\newcommand{\\ga}{\\gamma}$\n", "$\\newcommand{\\Ga}{\\Gamma}$\n", "$\\newcommand{\\La}{\\Lambda}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\Si}{\\Sigma}$\n", "$\\newcommand{\\be}{\\beta}$\n", "$\\newcommand{\\de}{\\delta}$\n", "$\\newcommand{\\De}{\\Delta}$\n", "$\\newcommand{\\phi}{\\varphi}$\n", "$\\newcommand{\\th}{\\theta}$\n", "$\\newcommand{\\om}{\\omega}$\n", "$\\newcommand{\\Om}{\\Omega}$" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "This tour uses the Stein Unbiased Risk Estimator (SURE) to optimize the\n", "value of parameters in denoising algorithms." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "from __future__ import division\n", "\n", "import numpy as np\n", "import scipy as scp\n", "import pylab as pyl\n", "import matplotlib.pyplot as plt\n", "\n", "from nt_toolbox.general import *\n", "from nt_toolbox.signal import *\n", "\n", "import warnings\n", "warnings.filterwarnings('ignore')\n", "\n", "%matplotlib inline\n", "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Denoising and SURE\n", "------------------\n", "We consider a simple generative model of noisy images $F = f_0+W$\n", "where $f_0 \\in \\RR^N$ is a deterministic image of $N$ pixels, and\n", "$W$ is a Gaussian white noise distributed according to $\\Nn(0,\\si^2\n", "\\text{Id}_N)$, where $\\si^2$ is the variance of noise.\n", "\n", "\n", "The goal of denoising is to define an estimator $h(F)$ of\n", "$f_0$ that depends only on $F$,\n", "where $h : \\RR^N \\rightarrow \\RR^N$ is a potentially non-linear\n", "mapping.\n", "\n", "\n", "Note that while $f_0$ is a deterministic image, both $F$ and $h(F)$\n", "are random variables (hence the capital letters).\n", "\n", "\n", "The goal of denoising is to reduce as much as possible the denoising\n", "error given some prior knowledge on the (unknown) image $f_0$.\n", "A mathematical way to measure this error is to bound the\n", "quadratic risk $\\EE_W(\\norm{h(F) - f_0}^2)$, where the expectation is computed\n", "with respect to the distribution of the noise $W$\n", "\n", "\n", "For real life applications, one does not have access to the underlying\n", "image $f_0$. In this tour, we however assume that $f_0$ is known, and\n", "$f = f_0 + w\\in \\RR^N$ is generated using a single realization of the noise $w$\n", "that is drawn from $W$. We define the estimated deterministic image as\n", "$h(f)$ which is a realization of the random vector\n", "$h(F)$.\n", "\n", "\n", "Number $N = n \\times n$ of pixels." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "n = 128*2\n", "N = n**2" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "First we load an image $f \\in \\RR^N$ where $N=n \\times n$ is the number of pixels." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "f0 = load_image(\"nt_toolbox/data/hibiscus.bmp\",n)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display it." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { 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VHJC0zAccDAaBFyURmdw85IIrNxgMwjY6gieDwUDtdjsENjDy0+k0GL8LFy7o2rVrarVa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\n4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nY2ZID7e2i+uLiobrerbrcbWWAIxBMTEyqXy3r99df1K7/yK+p0OrFgwW+l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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (5,5))\n", "imageplot(f0)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Standard deviation $\\si$ of the noise." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "sigma = .08" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Then we add Gaussian noise $w$ to obtain $f=f_0+w$." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "from numpy import random\n", "f = f0 + sigma*random.standard_normal((n,n))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the noisy image. Note the use of the clamp function to force the result to be in $[0,1]$ to avoid a loss of contrast of the display." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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tVprNJktLS4J1KlpJpVJhd3eXaDTKzs6OFMwGBwcZHR2VyZjL5eSZKuxZ4cM2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jHbdVanz549Uwtw69Yt4fd5k4+MjEh7xiQv+iOpymdkJSEJra2tSCaTMJvNePjwIb7xjW8IT5/N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\n7u6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sH4AffPDB1e3tbW7nBNwpc5JoNMrZjLQN8sI2NTWx5y+VSjTaSyQiAIIR5+bm6JfU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hldWVlBPp/H4OAgTCYTFhYWUCqVRFBPwjctmQqFAjqdDgaDAfF4HEajEeVyGVNT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\nODk5QSwWE0jvs2fPMDo6K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VpcVhStM+2Q6YUkVhOIrFAo4HA44HA4xEzAOXwkEsHS0hL6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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (5,5))\n", "imageplot(clamp(f), \"Noisy, SNR = %.1f dB\" %snr(f0, f))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The Stein Unbiased Risk Estimator (SURE) associated to the mapping $h$\n", "is defined as\n", "\n", "$$ \\text{SURE}(f) = -N\\si^2 + \\norm{h(f)-f}^2 + 2\\si^2 \\text{df}(f) $$\n", "\n", "where df stands for _degree of freedom,_ and is defined as\n", "\n", "$$ \\text{df}(f) = \\text{div} h(f) = \\sum_i \\pd{h}{f_i}(f). $$\n", "\n", "\n", "It has been introduced in:\n", "\n", "\n", "Stein, Charles M. (November 1981).\n", "\"Estimation of the Mean of a Multivariate Normal Distribution\".\n", "The Annals of Statistics 9 (6): 1135-1151.\n", "\n", "\n", "And it has been applied to wavelet-based non-linear denoising in:\n", "\n", "\n", "Donoho, David L.; Iain M. Johnstone (December 1995).\n", "\"Adapting to Unknown Smoothness via Wavelet Shrinkage\".\n", "Journal of the American Statistical Association (Journal of the American Statistical Association,\n", "Vol. 90, No. 432) 90 (432): 1200-1244.\n", "\n", "\n", "If the mapping $f \\mapsto h(f)$ is differentiable outside a set of\n", "zero measure (or more generally weakly differentiable),\n", "then SURE defines an unbiased estimate of the quadratic risk :\n", "\n", "$$ \\EE_W(\\text{SURE}(F)) = \\EE_W( \\norm{f_0-h(F)}^2 ). $$\n", "\n", "This is especially useful, since the evaluation of SURE does not\n", "necessitate the knowledge of the clean signal $f_0$ (but note however\n", "that it requires the knowledge of the noise level $\\si$).\n", "\n", "\n", "In practice, one replaces $\\text{SURE}(F)$ from its empirical\n", "evaluation $\\text{SURE}(f)$ on a single realization $f$.\n", "One can then minimize $\\text{SURE}(f)$ with respect to a parameter\n", "$\\la$ that parameterizes the denoiser $h=h_\\la$.\n", "\n", "\n", "Linear Denoising SURE\n", "---------------------\n", "We consider a translation-invariant linear denoising operator, which is\n", "thus a convolution\n", "\n", "$$ h(f) = f \\star g $$\n", "\n", "where $g \\in \\RR^N$ is a low pass kernel, and $\\star$ denotes the\n", "periodic 2-D convolution.\n", "\n", "\n", "Since we use periodic boundary condition, we compute the\n", "convolution as a multiplication over the Fourier domain.\n", "\n", "$$ \\forall \\om, \\quad \\hat h(f)(\\om) = \\hat f(\\om) \\hat g(\\om) $$\n", "\n", "where $\\hat g(\\om)$ is the frequency $\\om$ of the discrete 2-D\n", "Fourier transform of $g$ (computed using the pylab function fft2 from the pylab package)." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "convol = lambda f,g: np.real(pyl.ifft2(pyl.fft2(f)*np.tile(pyl.fft2(g), (1,1))))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We define a parameteric kernel $g_\\la$ parameterized by its bandwidth\n", "$\\la>0$. We use here a Gaussian kernel\n", "\n", "$$ g_\\la(a) = \\frac{1}{Z_\\la} e^{ -\\frac{\\norm{a}}{2 \\la^2} } $$\n", "where $Z_\\la$ ensures that $\\sum_a g_\\la(a) = 1$." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "normalize = lambda f: f/np.sum(f)\n", "x = np.hstack((np.arange(0,n//2+1),np.arange(-n//2 + 1,0)))\n", "[Y, X] = np.meshgrid(x, x)\n", "g = lambda lambd: normalize(np.exp(-(X**2 + Y**2)/(2*lambd**2)))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Define our denoising operator $h=h_\\la$ (we make explicit the\n", "dependency on $\\la$):\n", "$$ h_\\la(f) = g_\\la \\star f. $$" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "h = lambda f, lambd: convol(f, g(lambd))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Example of denoising result." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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v6mvw47qqerciwdsmaYPBlc+oT4J4N+4ctpvNdv2V4yH7zv39M6zPsvfDEKww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\nns1mQw4n9c2gReqgvRk/l75LN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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lambd = 1.5\n", "\n", "plt.figure(figsize = (5,5))\n", "imageplot(clamp(h(f, lambd)))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "For linear operator, the dregree of freedom is equal to the trace of the operator, and\n", "thus in our case it is equal to the sum of the Fourier transform\n", "$$ \\text{df}_\\la(f) = \\text{tr}(h_\\la) = \\sum_{\\om} \\hat g_\\la(\\om) $$\n", "Note that we have made explicit the dependency of df with respect\n", "to $\\la$. Note also that df$(f)$ actually not actually depend on $f$." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "df = lambda lambd: np.real(np.sum(pyl.fft2(g(lambd))))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We can now define the SURE=SURE$_\\la$ operator, as a function of $f, h(f),\n", "\\lambda$." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "from numpy import linalg\n", "SURE = lambda f,hf,lambd: -N*sigma**2 + linalg.norm(hf-f,\"fro\")**2 + 2 * sigma**2 * df(lambd)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 1__\n", "\n", "For a given $\\lambda$, display the histogram of the repartition of\n", "the quadratic error $\\norm{y-h(y)}^2$ and of $\\text{SURE}(y)$.\n", "Compute these repartition using Monte-Carlo simulation (you need to\n", "generate lots of different realization of the noise $W$).\n", "Display in particular the location of the mean of these quantities." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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I8/JOJUnSKFjySFeSlwA/VlX3AFTVdFV9A9gB7G022wu8tXWVkiRJI67N9OIl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\nQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/denoisingadv_9_sure/exo1" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "In practice, the SURE is used to set up the value of $\\la$ from a\n", "single realization $f=f_0+w$, by minimizing $\\text{SURE}_\\la(f)$." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 2__\n", "\n", "Compute, for a single realization $f=f_0+w$, the evolution\n", "of\n", "\n", "$$ E(\\la) = \\text{SURE}_\\la(f) \\qandq E_0(\\lambda) = \\norm{f-h_\\la(f)}^2 $$\n", "as a function of $\\lambda$." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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ISBg6euooH27/sHoEtrZ0LWnd08hM8QpsfNJ4WjZrSXk5LFkCWVnw+OO6wWdY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\nAwfqXJeEDhXaebKyssLyVjS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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/denoisingadv_9_sure/exo2" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 3__\n", "\n", "Display the best denoising result $h_{\\la^*}(f)$\n", "where\n", "$$\\la^* = \\uargmin{\\la} \\text{SURE}_\\la(f) $$" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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8rkltJzVqc5jGHM1ms1xcXDSPj8FlLioq8n2gNrgXBs9kv8Mg/mY0XFEdhrXv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\nLAwvBp8swjhR6N3d5/23HLdloj7p6uyQOSEo8qU0x7wuzZlOvmPuEr3Ai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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/denoisingadv_9_sure/exo3" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Soft Thresholding SURE\n", "----------------------\n", "In order to enhance the denoising results for piecewise regular signal\n", "and image, it is possible to use non-linear thresholding in an orthogonal wavelet\n", "basis $ \\Bb = \\{ \\psi_m \\}_{m} $ where $\\psi_m \\in \\RR^N$ is a wavelet element.\n", "\n", "\n", "Re-generate a noisy image." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "f = f0 + sigma*random.standard_normal((n,n))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The soft-thresholding estimator thus reads\n", "$$ h_\\la(f) = \\sum_m s_\\la( \\dotp{f}{\\psi_m} ) \\psi_m\n", " \\qwhereq s_\\la(\\al) = \\max\\pa{0, 1-\\frac{\\la}{\\abs{\\al}}} \\al. $$\n", "It can be conveniently written as\n", "$$ h_\\la = \\Ww^* \\circ S_\\la \\circ \\Ww $$\n", "where $\\Ww$ and $\\Ww^*$ are forward and inverse wavelet transform\n", "$$ \\Ww(f) = ( \\dotp{f}{\\psi_m} )_m \\qandq\n", " \\Ww^*(x) = \\sum_m x_m \\psi_m, $$\n", "and $ S_\\la $ is the diagonal soft thresholding operator\n", "$$ S_\\la(x) = ( s_\\la(x_m) )_m. $$\n", "\n", "\n", "Define the wavelet transform and its inverse." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "from nt_toolbox.compute_wavelet_filter import *\n", "\n", "h_daub = compute_wavelet_filter('Daubechies',4) \n", "W = lambda f1: perform_wavortho_transf(f1,0,+1,h_daub)\n", "Ws = lambda x: perform_wavortho_transf(x,0,-1,h_daub)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the wavelet transform $\\Ww(f_0)$ of the original image." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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QKCT3k89dNpt1/Oeo0eXvzjjjDMnV96Mf/cjRnhLtS+i/V0DjPGCaRilO9BrT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\n3H9ubk4RM4z/0WjkaHKhrfA9z0m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t27Y5G00bfbu2tqZlTqVS6u7GJoX19bZv3x5zZbEr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NwOh8PKVMa0CH5OOjb7GPBzHh8fV8EdNMObzcsD3bp1y8zm4yYWuW61WkWL9PTp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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (10,10))\n", "plot_wavelet(W(f0), 1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Define the soft thresholding operator." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "S = lambda x,lambd: np.maximum(np.zeros(list(np.shape(x))), 1-lambd/np.maximum(1e-9*np.ones(list(np.shape(x))),abs(x)))*x" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Define the denoising operator." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "h = lambda f1,lambd: Ws(S(W(f1), lambd))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Example of denoising result." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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+J5NJ1DFfX19HfasLdavVSnQI8bmEV5U2qT/OnS4W69b2IAaPdlJt4VYeNExU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\nKKRwlH61Ws2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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lambd = 3*sigma/2\n", "\n", "plt.figure(figsize = (5,5))\n", "imageplot(clamp(h(f,lambd)))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Since $Ww$ is an orthogonal transform, one has\n", "$$ \\text{df}(f) = \\text{div}( S_\\la )( \\Ww(f) )\n", " = \\sum_m s_\\la'( \\dotp{f}{\\psi_m} ) = \\norm{\\Ww(h(f))}_0 $$\n", "where $ s_\\la' $ is the derivative of the 1-D function $s_\\la$, and\n", "$\\norm{\\cdot}_0$ is the $\\ell^0$ pseudo-norm\n", "$$ \\norm{x}_0 = \\abs{ \\enscond{m}{x_m \\neq 0} }. $$\n", "\n", "\n", "To summarize, the degree of freedom is equal to the number of non-zero\n", "coefficients in the wavelet coefficients of $h(f)$." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "df = lambda hf,lambd : np.sum(abs(W(hf)) > 1e-8)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We can now define the SURE operator, as a function of $f, h(f),\n", "\\lambda$." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "SURE = lambda f,hf,lambd: -N*sigma**2 + linalg.norm(hf-f, 'fro')**2 + 2*sigma**2*df(hf, lambd)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 4__\n", "\n", "For a given $\\lambda$, display the histogram of the repartition of\n", "the quadratic error $\\norm{y-h(y)}^2$ and of $\\text{SURE}(y)$.\n", "Compute these repartition using Monte-Carlo simulation (you need to\n", "generate lots of different realization of the noise $W$).\n", "Display in particular the location of the mean of these quantities.\n", "_Hint:_ you can do the computation directly over the wavelet domain,\n", "i.e. consider that the noise is added to the wavelet transform." ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/denoisingadv_9_sure/exo4" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 5__\n", "\n", "Compute, for a single realization $f=f_0+w$, the evolution\n", "of\n", "\n", "$$ E(\\la) = \\text{SURE}_\\la(f) \\qandq E_0(\\lambda) = \\norm{f-h_\\la(f)}^2 $$\n", "as a function of $\\lambda$." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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ovVWyzVBijBkLhAFZjDF7gN7W2hExDrGAAbDWbjbG/ABsBi4DnVXB4scY+Kp/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\nJHiRPqqcAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/denoisingadv_9_sure/exo5" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 6__\n", "\n", "Display the best denoising result $h_{\\la^*}(f)$\n", "where\n", "$$\\la^* = \\uargmin{\\la} \\text{SURE}_\\la(f) $$" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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p1WqBbYKj5bO0jiOBa+W5U04mJaNIYoPndLCackBJEVrV63UVi0U9e/Ysehr6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\n5vFEPdnmMubVVoeHhwH/oKid1sSc+2l5Dx8+DEUJVOKyyHU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Pe891iHhMrqRRPpeXl8Gf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\nNzc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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/denoisingadv_9_sure/exo6" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Block-soft Thresholding SURE\n", "----------------------------\n", "To improve the result of soft thresholding, it is possible to threshold\n", "blocks of coefficients.\n", "\n", "\n", "We define a partition $ \\{1,\\ldots,N\\} = \\cup_k b_k $ of the set of wavelet\n", "coefficient indexes. The block thresholding is defined as\n", "\n", "$$ h_\\la(f) = \\sum_k \\sum_{m \\in b_k} a_\\la( e_k ) \\dotp{f}{\\psi_m} \\psi_m\n", " \\qwhereq\n", " e_k = \\sum_{m \\in b_k} \\abs{\\dotp{f}{\\psi_m}}^2,\n", "$$\n", "where we use the James-Stein attenuation threshold\n", "$$\n", " a_\\la(e) = \\max\\pa{ 0, 1 - \\frac{\\la^2}{e^2} }.\n", "$$\n", "\n", "\n", "The block size $q$." ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "q = 4" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "A function to extract blocks." ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "[X,Y,dX,dY] = np.meshgrid(np.arange(1,n-q+2,q),np.arange(1,n-q+2,q),np.arange(0,q),np.arange(0,q))\n", "I = (X + dX - 1) + (Y + dY - 1)*n\n", "\n", "for i in range(n//q):\n", " for j in range(n//q):\n", " I[i,j] = np.transpose(I[i,j])\n", " \n", "blocks = lambda fw : np.ravel(fw)[I]" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "A function to reconstruct an image from blocks." ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "def assign(M,I,H):\n", " M_temp = M\n", " np.ravel(M_temp)[I] = H\n", " return np.reshape(M_temp,(n,n))\n", "\n", "unblock = lambda H : assign(np.zeros([n,n]), I, H)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Compute the average energy of each block, and duplicate." ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "def energy(H):\n", " H_tmp = np.copy(H)\n", " for i in range(n//q):\n", " for j in range(n//q):\n", " H_tmp[i][j] = np.mean(H_tmp[i][j]**2)*np.ones([q,q])\n", " return H_tmp" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Threshold the blocks. We use here a Stein block thresholding.\n", "All values within a block are atenuated by the same factor." ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "S = lambda H,lambd : np.maximum(1-lambd**2/energy(H), np.zeros(np.shape(H)))*H" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Block thresholding estimator $h_\\lambda(f)$." ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "h = lambda f,lambd: Ws(unblock(S(blocks(W(f)), lambd)))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Example of block denoising." ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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kjmhNCBiAdYQP648p69o0h8+xP8YtZU1Yl/hpnJfTAt9xU8shBKev6XSq9Xqt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\nqcJDfhxjfdeaTxVS+rkrbccL00pC/HPe58LCQtShTK1Iv6ePi8MFKRm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xvr4ewRt2baxV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\nogN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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lambd = 1.1*sigma\n", "\n", "plt.figure(figsize = (5,5))\n", "imageplot(clamp(h(f, lambd)))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Since the block-thresholding operates in a block diagonal manner over the\n", "wavelet coefficients, it degree of freedom is a sum of the divergence of\n", "each block James-Stein operator\n", "$$\n", " \\text{df}(f) = \\sum_{ e_k > \\la^2 } \\text{tr}( \\partial \\phi (a_k) )\n", "$$\n", "where $ a_k = (\\dotp{f}{\\psi_m})_{m \\in b_k} $ is the set of coefficients\n", "inside a block, that satisfies $\\norm{a_k}=e_k$, and\n", "where\n", "$$ \\phi(a) = \\pa{ 1 - \\frac{\\la^2}{\\norm{a}^2} } a. $$\n", "One can compute explicitely the derivative of $\\phi$\n", "$$ \\partial \\phi(a) = \\pa{ 1 - \\frac{\\la^2}{\\norm{a}^2} } \\text{Id} + 2 \\frac{\\la^2}{\\norm{a}^2} \\Pi_a $$\n", "where $\\Pi_a$ is the orthogonal projector on $a$.\n", "\n", "\n", "This gives the folowing formula for the degree of freedom\n", "$$\n", " \\text{df}(f) = \\norm{\\Ww(h_\\la(f))}_0\n", "+ \\sum_{ e_k > \\la^2 }\n", " \\frac{\\la^2}{e_k} (2-\\abs{b_k}).\n", "$$\n", "One can note that the degree of freedom differs from the one of the soft thresholding\n", "(it is not in general an integer)." ] }, { "cell_type": "raw", "metadata": { "deletable": true, "editable": true }, "source": [ "" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.4.5" } }, "nbformat": 4, "nbformat_minor": 0 }