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"$\\newcommand{\\qandq}{\\quad\\text{and}\\quad}$\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 tour explores the use of Fast Marching methods for image segmentation."], "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('toolbox_graph')\n", "addpath('solutions/fastmarching_8_segmentation')"]}, {"source": ["Segmentation Using Geodesic Ball\n", "--------------------------------\n", "It is possible to extract an object by growing a geodesic ball.\n", "\n", "\n", "First we load an image."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 3, "cell_type": "code", "language": "python", "metadata": {}, "input": ["n = 256;\n", "name = 'cortex';\n", "M = rescale( sum(load_image(name,n),3) );"]}, {"source": ["Display."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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MJjkG0Eywyg8GA7OICiczmQzYK7ig1WrhthIvi2hVTL0lXIl/emexGjuHzWaz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sEuhgUHFuwLY23q9XpRFEn1hy+Hw6EyM2ATWBr29/f/9m//1szq9fof/MEffOUrXzGz1dXVe/fu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\nRU5ErkJggg==\n", "output_type": "display_data"}], "prompt_number": 4, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "imageplot(M);"]}, {"source": ["Starting point of the grodesic ball."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 5, "cell_type": "code", "language": "python", "metadata": {}, "input": ["pstart = [154;175];"]}, {"source": ["Choose a metric that is minimal for value of the image close to pstart."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 6, "cell_type": "code", "language": "python", "metadata": {}, "input": ["W = abs(M-M(pstart(1),pstart(2)));\n", "W = rescale( max(W,0.03), 0.01,1).^2;"]}, {"source": ["Compute the Fast Marching from the center."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 7, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clear options;\n", "options.nb_iter_max = Inf;\n", "options.end_points = [];\n", "[D,S,Q] = perform_fast_marching(1./W, pstart, options);"]}, {"source": ["__Exercise 1__\n", "\n", "Display geodesic balls {x \\ M(x)