{"metadata": {"signature": "sha256:c04ccac4ff51a0d42ab1535585085bce20594b7cedc7b7577b8caf62a3dc8aee", "name": ""}, "worksheets": [{"metadata": {}, "cells": [{"level": 1, "metadata": {}, "cell_type": "heading", "source": ["Introduction to Image Processing"]}, {"metadata": {}, "cell_type": "markdown", "source": ["This numerical tour explores some basic image processing tasks."]}, {"metadata": {}, "cell_type": "markdown", "source": ["*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", "$\\newcommand{\\Om}{\\Omega}$\n"]}, {"prompt_number": 1, "metadata": {}, "cell_type": "code", "outputs": [{"output_type": "stream", "stream": "stdout", "text": ["Populating the interactive namespace from numpy and matplotlib\n"]}, {"output_type": "stream", "stream": "stderr", "text": ["WARNING: pylab import has clobbered these variables: ['pylab']\n", "`%matplotlib` prevents importing * from pylab and numpy\n"]}], "input": ["from nt_toolbox.general import *\n", "from nt_toolbox.signal import *\n", "%pylab inline\n", "%matplotlib inline\n", "%load_ext autoreload\n", "%autoreload 2"], "collapsed": false, "language": "python"}, {"level": 2, "metadata": {}, "cell_type": "heading", "source": ["Image Loading and Displaying"]}, {"metadata": {}, "cell_type": "markdown", "source": ["Several functions are implemented to load and display images.\n", "\n", "\n", "First we load an image.\n", "\n", "path to the images"]}, {"prompt_number": 2, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["name = 'nt_toolbox/data/lena.png'\n", "n = 256\n", "M = load_image(name, n)"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["We can display it. It is possible to zoom on it, extract pixels, etc."]}, {"prompt_number": 3, "metadata": {}, "cell_type": "code", "outputs": [{"metadata": {}, "output_type": "display_data", "png": 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"text": [""]}], "input": ["\n", "imageplot(M[n/2-25:n/2+25,n/2-25:n/2+25], 'Zoom', [1, 2, 2])"], "collapsed": false, "language": "python"}, {"level": 2, "metadata": {}, "cell_type": "heading", "source": ["Image Modification"]}, {"metadata": {}, "cell_type": "markdown", "source": ["An image is a 2D array, that can be modified as a matrix."]}, {"prompt_number": 4, "metadata": {}, "cell_type": "code", "outputs": [{"metadata": {}, "output_type": "display_data", "png": 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hcBg2mw0ul0soKj2H7HXDOctmsyiXy7BarUgmkwiHw3A4HAiHw9i8ebNQ0bFY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/ahpKREFBeNk81mw4YNG8QTee2113DHHXfI97jzzjslPB8dHcWbb76JixcvoqOjA4WFhZJnoMLM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"text": [""]}], "input": ["imageplot(-M, '-M', [1,2,1])\n", "imageplot(M[::-1,:], 'Flipped', [1,2,2])"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Blurring is achieved by computing a convolution with a kernel. "]}, {"metadata": {}, "cell_type": "markdown", "source": ["Compute the low pass Gaussian kernel. Warning, the indexes needs to be modulo $n$ in order to use FFTs."]}, {"prompt_number": 5, "metadata": {}, "cell_type": "code", "outputs": [{"metadata": {}, "output_type": "display_data", "png": 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"text": [""]}], "input": ["sigma = 5\n", "t = concatenate( (arange(0,n/2+1), arange(-n/2,-1)) )\n", "[Y,X] = np.meshgrid(t,t)\n", "h = exp( -(X**2+Y**2)/(2.0*float(sigma)**2) )\n", "h = h/sum(h)\n", "imageplot(fftshift(h))"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Compute the periodic convolution ussing FFTs"]}, {"prompt_number": 6, "metadata": {}, "cell_type": "code", "outputs": [], "input": ["Mh = real( ifft2(fft2(M) * fft2(h)) )"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Display"]}, {"prompt_number": 7, "metadata": {}, "cell_type": "code", "outputs": [{"metadata": {}, "output_type": "display_data", "png": 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BHWwvt21sbKyH1yZYKh2igSUCLTcyBINBFAqFHmqJA8m4AOu0838+iIOWNADb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thms2FwcBBf+9rXANTKIkxNTUm/lpaWEAgEsLi4iEAgIABIeoaefj6X3jjUeOmTcDqdAtYDAwPw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\nILDWwI8fP8bm5iYANOT6/zfB8WnGMasAC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"text": [""]}], "input": ["imageplot(M, 'Image', [1, 2, 1])\n", "imageplot(Mh, 'Blurred', [1, 2, 2])"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["Several differential and convolution operators are implemented."]}, {"prompt_number": 8, "metadata": {}, "cell_type": "code", "outputs": [{"metadata": {}, "output_type": "display_data", "png": 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lUjh+/LglmKjIeR2VcDgcNkEk87NypFQqIRgMIh6PW9I0EomYN0RoqlAomGcX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6qFvIYO6SVoq10rCaMBoPfP/YxtE/Aav+XGorDSNEm6uUDtg2trj0KSSUEWiwWNjY04cOAAPvro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\npLpOdYrLMMugCPMcEJ6PL+Kiy+gD1+Kxb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e/3GZCHSYI/l7YIGhSa0W+p/vzV4Pd5DN7v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\nr127pvH/PoB+ampKsVhM09PTam5u1srKigVHnr3iI2gPO/I6C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"text": [""]}], "input": ["G = grad(M)\n", "imageplot(G[:,:,0], 'd/ dx', [1, 2, 1])\n", "imageplot(G[:,:,1], 'd/ dy', [1, 2, 2])"], "collapsed": false, "language": "python"}, {"level": 2, "metadata": {}, "cell_type": "heading", "source": ["Fourier Transform"]}, {"metadata": {}, "cell_type": "markdown", "source": ["The 2D Fourier transform can be used to perform low pass approximation\n", "and interpolation (by zero padding).\n", "\n", "Compute and display the Fourier transform (display over a log scale).\n", "The function fftshift is useful to put the 0 low frequency in the\n", "middle. After fftshift, the zero frequency is located at position\n", "$(n/2+1,n/2+1)$."]}, {"prompt_number": 9, "metadata": {}, "cell_type": "code", "outputs": [{"metadata": {}, "output_type": "display_data", "png": 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0ej2Ew2FomoaVlRW4XC4sLCxA13WBb3q9HqxWq3j7e3t7klsjjGKxWLCzs4NY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"text": [""]}], "input": ["Mf = fft2(M)\n", "Lf = fftshift(log(abs(Mf) + 1e-1))\n", "imageplot(M, 'Image', [1, 2, 1])\n", "imageplot(Lf, 'Fourier transform', [1, 2, 2])"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["**Exercise 1:** To avoid boundary artifacts and estimate really the frequency content of\n", "the image (and not of the artifacts!), one needs to multiply M by a\n", "smooth windowing function h and compute fft2(M*h). Use a sine\n", "windowing function. Can you interpret the resulting filter ?"]}, {"prompt_number": 10, "metadata": {}, "cell_type": "code", "outputs": [{"metadata": {}, "output_type": "display_data", "png": 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LYJhFUJDVY7fuv+w4X8bbXgTXqPfqK2TVfOVCHJap+QyCPnz4EL/8y78smZ3M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tYkl8shlUphZ2dH+hR0piWzB4AkWjQTvN/joQnw9zruFfjPCuwMbPTqaDabsqBYprJZyM53Op1G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\nH/wNG2W1jPvbqOF8gWqgLbr/y+6OzME46ALHDt2Qx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"text": [""]}], "input": ["run -i nt_solutions/introduction_3_image/exo1"], "collapsed": false, "language": "python"}, {"metadata": {}, "cell_type": "markdown", "source": ["**Exercise 2:** Perform low pass filtering by removing the high frequencies of the\n", "spectrum. What do you oberve ?"]}, {"prompt_number": 11, "metadata": {}, "cell_type": "code", "outputs": [{"metadata": {}, "output_type": "display_data", "png": 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"text": [""]}], "input": ["run -i nt_solutions/introduction_3_image/exo2"], "collapsed": false, "language": "python"}]}], "nbformat_minor": 0, "nbformat": 3}