{"nbformat_minor": 0, "worksheets": [{"cells": [{"source": ["Non-Linear Diffusion Flows\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 tours details non-linear diffusion PDEs. A good reference for diffusion\n", "flows in image processing is [Weickert98](#biblio)."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 2, "cell_type": "code", "language": "python", "metadata": {}, "input": ["addpath('toolbox_signal')\n", "addpath('toolbox_general')\n", "addpath('solutions/pde_2_diffusion_nonlinear')"]}, {"source": ["Non-linear Second-order Parabolic PDEs\n", "--------------------------------------\n", "This tour defines PDE flows that are non-linear extension of the heat\n", "equation. Non-linearity is crucial to produce edge-aware flows that do\n", "not blur the edges.\n", "\n", "\n", "It is also important to produce contrast invariant and affine invariant\n", "flows.\n", "\n", "\n", "These flows can be written as\n", "$$ \\pd{f_t}{t}(x) = G(\\nabla f_t(x), \\nabla^2 f_t(x)). $$\n", "with $f_0$ defined at time $t=0$\n", "(whith the slight modification that a blurring is introduced in the\n", "Perona-Malick flow to stabilize it).\n", "\n", "\n", "They are discretized in space by considering a discrete image\n", "of $N = n \\times n$ pixels."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 3, "cell_type": "code", "language": "python", "metadata": {}, "input": ["n = 256;"]}, {"source": ["We use finite difference operators $\\nabla$ and $\\text{div}=-\\nabla^*$\n", "with periodic boundary conditions.\n", "\n", "\n", "Load an image $f_0 \\in \\RR^N$, that will be used to initialize the flow at time\n", "$t=0$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 4, "cell_type": "code", "language": "python", "metadata": {}, "input": ["name = 'hibiscus';\n", "f0 = load_image(name,n);\n", "f0 = rescale( sum(f0,3) );"]}, {"source": ["Display it."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": "iVBORw0KGgoAAAANSUhEUgAAAkAAAAGwCAIAAADOgk3lAAAACXBIWXMAAAsSAAALEgHS3X78AAAA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\n", "output_type": "display_data"}], "prompt_number": 5, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "imageplot(f0);"]}, {"source": ["The flow is discretized in time using an explicit time-stepping\n", "$$ f^{(\\ell+1)}(x) = f^{(\\ell)}(x)\n", " + \\tau G(\\nabla f^{(\\ell)}(x), \\nabla^2 f^{(\\ell)}(x)). $$\n", "Here $\\tau>0$ should be small enough, and $f^{(\\ell)}$\n", "produces an approximation of $f_t$ at time $t=\\ell\\tau$.\n", "\n", "\n", "\n", "\n", "Convolutions can be computed in $O(N\\log(N))$ operations using the FFT, since\n", "$$ g = f \\star h \\qarrq \\forall \\om, \\quad \\hat g(\\om) = \\hat f(\\om) \\hat h(\\om). $$"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 6, "cell_type": "code", "language": "python", "metadata": {}, "input": ["cconv = @(f,h)real(ifft2(fft2(f).*fft2(h)));"]}, {"source": ["Define a Gaussian blurring kernel of width $\\si$:\n", "$$ h_\\si(x) = \\frac{1}{Z} e^{ -\\frac{x_1^2+x_2^2}{2\\si^2} }$$\n", "where $Z$ ensures that $\\hat h_\\si(0)=1$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 7, "cell_type": "code", "language": "python", "metadata": {}, "input": ["t = [0:n/2 -n/2+1:-1];\n", "[X2,X1] = meshgrid(t,t);\n", "normalize = @(h)h/sum(h(:));\n", "h = @(sigma)normalize( exp( -(X1.^2+X2.^2)/(2*sigma^2) ) );"]}, {"source": ["Set the value of $\\sigma>0$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 8, "cell_type": "code", "language": "python", "metadata": {}, "input": ["sigma = .5;"]}, {"source": ["Define blurring operator."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 9, "cell_type": "code", "language": "python", "metadata": {}, "input": ["blur = @(f)cconv(f,h(sigma));"]}, {"source": ["Perona-Malik Flow\n", "-----------------\n", "The Perona-Malik non-linear diffusion is defined as\n", "$$ \\pd{f_t}{t} = \\text{div}\\pa{ g_\\la( \\norm{\\nabla f_t^\\si} ) \\nabla f_t } $$\n", "where $f^\\si = f \\star h_\\si$.\n", "\n", "\n", "This PDE was introduced in [PerMal90](#biblio).\n", "\n", "\n", "\n", "Here, $g_\\la : \\RR^+ \\rightarrow \\RR^+$ is a non-increasing function,\n", "that wechose in the following as\n", "$$ g_\\la(s) = \\frac{1}{\\sqrt{1 + (s/\\la)^2}}. $$"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 10, "cell_type": "code", "language": "python", "metadata": {}, "input": ["g = @(s,lambda)1./sqrt( 1+(s/lambda).^2 );"]}, {"source": ["Note that in the limit $\\la \\rightarrow +\\infty$, one recovers the\n", "linear heat equation\n", "$$ \\pd{f_t}{t} = \\Delta f_t $$\n", "where $\\Delta=\\text{div} \\circ \\nabla$ is the Laplacian.\n", "\n", "\n", "Define $A(f) = \\norm{\\nabla f^\\si}$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 11, "cell_type": "code", "language": "python", "metadata": {}, "input": ["amplitude = @(u)repmat( sqrt( sum(u.^2,3) ), [1 1 2]);\n", "A = @(f)amplitude(grad(blur(f)));"]}, {"source": ["Initialize the solution at time $t=0$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 12, "cell_type": "code", "language": "python", "metadata": {}, "input": ["f = f0;"]}, {"source": ["Set the value of $\\lambda$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 13, "cell_type": "code", "language": "python", "metadata": {}, "input": ["lambda = .01;"]}, {"source": ["Set the value of the descent step size $\\tau>0$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 14, "cell_type": "code", "language": "python", "metadata": {}, "input": ["tau = .2;"]}, {"source": ["Perform one time stepping."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 15, "cell_type": "code", "language": "python", "metadata": {}, "input": ["f = f + tau * div( g(A(f),lambda) .* grad(f) );"]}, {"source": ["Final time."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 16, "cell_type": "code", "language": "python", "metadata": {}, "input": ["T = .5/lambda;"]}, {"source": ["Number of iteration to reach this final time."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 17, "cell_type": "code", "language": "python", "metadata": {}, "input": ["niter = ceil(T/tau);"]}, {"source": ["__Exercise 1__\n", "\n", "Implement the Perona-Malick diffusion flow\n", "for $\\la = 10^{-2}$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": "iVBORw0KGgoAAAANSUhEUgAAAkAAAAGwCAIAAADOgk3lAAAACXBIWXMAAAsSAAALEgHS3X78AAAA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\np2oAAAAASUVORK5CYII=\n", "output_type": "display_data"}], "prompt_number": 18, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo1()"]}, {"collapsed": false, "outputs": [], "prompt_number": 19, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["__Exercise 2__\n", "\n", "Implement the Perona-Malick diffusion flow\n", "for $\\la = 10^{-3}$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": "iVBORw0KGgoAAAANSUhEUgAAAkAAAAGwCAIAAADOgk3lAAAACXBIWXMAAAsSAAALEgHS3X78AAAA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\nOI4S/wfMvStSZ0SuxgAAAABJRU5ErkJggg==\n", "output_type": "display_data"}], "prompt_number": 20, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo2()"]}, {"collapsed": false, "outputs": [], "prompt_number": 21, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Mean Curvature Flow\n", "-------------------\n", "In the limit that $\\la \\rightarrow +\\infty$ and $\\si \\rightarrow 0$\n", "the Perona-Malick flow becomes\n", "$$ \\pd{f_t}{t} = \\text{curv}(f_t) $$\n", "where\n", "$$ \\text{curv}(f) = \\text{div}\\pa{ \\frac{\\nabla f}{\\norm{\\nabla f}} }. $$\n", "One can show that $\\text{curv}(f)(x)$ is the curvature at location\n", "$x$ of the level set $\\enscond{y}{f(y)=f(x)}$.\n", "\n", "\n", "This flow is the gradient descent flow associated to the total variation\n", "$$ J(f) = \\int_{\\RR^2} \\norm{\\nabla f(x)} d x, $$\n", "which can be extended to non-smooth functions of bounded variations.\n", "Indeed, a (sub)gradient of $J$ is $ -\\text{curv}(f) $.\n", "\n", "\n", "Total variation regularization was introcued in [](#biblio)\n", "\n", "\n", "A closely related flow is the so-called mean curvature flow\n", "$$ \\pd{f_t}{t} = \\norm{\\nabla f_t} \\text{curv}(f_t). $$\n", "One can show that this flow is contrast-invariant.\n", "This means that for any non-decreasing function $\\phi : \\RR \\rightarrow\n", "\\RR$, $\\phi \\circ f_t$ is also a solution of the PDE\n", "(possibly up to a re-parameterization of the time variable).\n", "\n", "\n", "One can show that any contrast-invariant flow can be written as\n", "$$ \\pd{f_t}{t} = \\norm{\\nabla f_t} \\psi( \\text{curv}(f_t) ) $$\n", "for a non-decreasing function $\\psi : \\RR \\rightarrow\n", "\\RR$.\n", "\n", "\n", "Implement the curv operator.\n", "We use a small $\\epsilon$ to avoid division by 0."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 22, "cell_type": "code", "language": "python", "metadata": {}, "input": ["epsilon = 1e-6;\n", "amplitude = @(u)sqrt(sum(u.^2,3)+epsilon^2);\n", "normalize = @(u)u./repmat( amplitude(u), [1 1 2]);\n", "curv = @(f)div( normalize(grad(f)) );"]}, {"source": ["__Exercise 3__\n", "\n", "Implement the mean curvature flow."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": "iVBORw0KGgoAAAANSUhEUgAAAkAAAAGwCAIAAADOgk3lAAAACXBIWXMAAAsSAAALEgHS3X78AAAA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\n", "output_type": "display_data"}], "prompt_number": 23, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo3()"]}, {"collapsed": false, "outputs": [], "prompt_number": 24, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Affine Invariant Flow\n", "---------------------\n", "A flow is affine invariant if $f_t \\circ A$ is also a solution of the PDE\n", "(possibly up to a re-parameterization of the time variable).\n", "\n", "\n", "The only affine invariant and contrast invariant flow is\n", "$$ \\pd{f_t}{t} = \\norm{\\nabla f_t} \\text{curv}(f_t)^{1/3}. $$\n", "where $s^{1/3}= \\text{sign}(s) \\abs{s}^{1/3}$.\n", "\n", "\n", "This result was discovered independently in [AlvGuiLiMo93](#biblio) and\n", "[SapTann93](#biblio)"], "metadata": {}, "cell_type": "markdown"}, {"source": ["__Exercise 4__\n", "\n", "Implement the affine-invariant curvature flow."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": "iVBORw0KGgoAAAANSUhEUgAAAkAAAAGwCAIAAADOgk3lAAAACXBIWXMAAAsSAAALEgHS3X78AAAA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\n", "output_type": "display_data"}], "prompt_number": 25, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo4()"]}, {"collapsed": false, "outputs": [], "prompt_number": 26, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Bibliography\n", "------------\n", "\n", "\n", "\n", "* [PerMal90] P. Perona and J. Malik, [Scale-space and edge detection using anisotropic diffusion][1]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 12 (7): 629-639, 1990.\n", "* [AlvGuiLiMo93] L. Alvarez, F. Guichard, P-L. Lions, J-M. Morel, [Axioms and fundamental equations of image processing][2], Arch. for Rational Mechanics, Vol. 123, No. 3 pp. 199-257, 1993\n", "* [SapTann93] S. Sapiro, and A. Tannenbaum, [Affine invariant scale space][3], Int. Journal of Computer Vision, 11(1):25-44, 1993.\n", "* [Weickert98] Joachim Weickert, [Anisotropic Diffusion in Image Processing][4], ECMI Series, Teubner-Verlag, Stuttgart, Germany, 1998.\n", "* [PerMal90] P. Perona and J. Malik, [Scale-space and edge detection using anisotropic diffusion][5], IEEE Transactions on Pattern Analysis and Machine Intelligence, 12 (7): 629-639, 1990.\n", "* [ROF92] L. Rudin, S. Osher and E. Fatemi, [Nonlinear total variation based noise removal algorithms][6], Physica D 60: 259?268, 1992.\n", "\n", "[1]:http://dx.doi.org/doi:10.1109/34.56205\n", "[2]:http://dx.doi.org/doi:10.1007/BF00375127\n", "[3]:http://dx.doi.org/doi:10.1007/BF01420591\n", "[4]:http://www.mia.uni-saarland.de/weickert/book.html\n", "[5]:http://dx.doi.org/10.1109/34.56205\n", "[6]:http://dx.doi.org/10.1016/0167-2789(92)90242-F"], "metadata": {}, "cell_type": "markdown"}], "metadata": {}}], "nbformat": 3, "metadata": {"kernelspec": {"name": "matlab_kernel", "language": "matlab", "display_name": "Matlab"}, "language_info": {"mimetype": "text/x-matlab", "name": "matlab", "file_extension": ".m", "help_links": [{"url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md", "text": "MetaKernel Magics"}]}}}