{ "metadata": { "name": "receptiveFields" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "The following article will visualize some mathematical models for brain cell activity.\n", "In some regions of the brain, neurons are excited or inhibited by neurons of a preceding input layer. They are called receptive field of that neuron. Since the visual area uses receptive fields as feature detectors (such as edge and edge-orientation detection) for natural images, the application of different receptive field functions on images can be nicely examined. \n", "The ipython notebook file to play with the parameters can be found on [GitHub](https://github.com/jonasnick/ReceptiveFields)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import matplotlib.pyplot as plt\n", "import matplotlib.image as mpimg\n", "import scipy.signal as signal\n", "import numpy as n" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "We examine the effect on the following images. In the visual pathway the images can be seen as input from the retina to higher visual areas." ] }, { "cell_type": "code", "collapsed": false, "input": [ "barImg=mpimg.imread('bar.png')\n", "#extract grey values\n", "barImg = barImg[:,:,3]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "imgplot = plt.imshow(barImg, cmap=cm.Greys_r)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "img=mpimg.imread('stinkbug.png')\n", "#extract grey values\n", "bugImg = img[:,:,0]\n" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "imgplot = plt.imshow(bugImg, cmap=cm.Greys_r)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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XF0jCj5zYwNDF/qgUixMP2PMZnbcFHQRaf0viakfb8oipk5avL7C6PBYtX20Ck/qBHpXh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9roaqLMUJF4PB7ZTYt5mxzHSdehoDkcDvHggw9iZWUFTz75JO69917s7Owgl8sBAHK5HHZ2dgDs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\no11M2mpgH2mzXDN3rWio+DVga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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Receptive field functions\n", "-------------------\n", "\n", "The two dimensional gaussian function is used in image processing as blurring filter.\n", "$$\\phi(x,y) = \\frac{1}{2\\pi\\sigma^2}\\exp{(-\\frac{1}{2\\pi\\sigma^2}(x^2+ y^2))}$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def gaussian2D(x, y, sigma):\n", " return (1.0/(1*math.pi*(sigma**2)))*math.exp(-(1.0/(2*(sigma**2)))*(x**2 + y**2))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Since scipy's convolve function does not accept functions, we sample sample the function." ] }, { "cell_type": "code", "collapsed": false, "input": [ "\"\"\"make matrix from function\"\"\"\n", "def receptiveFieldMatrix(func):\n", " h = 30\n", " g = zeros((h,h))\n", " for xi in range(0,h):\n", " for yi in range(0,h):\n", " x = xi-h/2\n", " y = yi-h/2\n", " g[xi, yi] = func(x,y);\n", " return g" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "def plotFilter(fun):\n", " g = receptiveFieldMatrix(fun) \n", " plt.imshow(g, cmap=cm.Greys_r)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "The gaussian function is circular symmetric, leading to excitation of a centered pixel from nearby pixels in convolution.\n", "\n", "In the context of fourier transformation it is a low pass filter, which cancels out higher frequencies in the frequence domain of the image and is therefore blurring the image." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plotFilter(lambda x,y:gaussian2D(x,y,4))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Convolution is the process of applying the filter to the input, which is the image $I(x,y)$ denoting the grey value of the pixel at the specified position. \n", "$$\\int \\int I(x',y')\\phi(x-x',y-y')dx'dy'$$\n", "\n", "When applying the gaussian filter every neuron in the output layer is excited by nearby image neurons. \n", "The result of the convolution can then also be visualized in an image. \n", "Song Ho Ahn has a [nice example](http://www.songho.ca/dsp/convolution/convolution2d_example.html \"jkh\") for convolution of 2D Arrays." ] }, { "cell_type": "code", "collapsed": false, "input": [ "Img_barGaussian = signal.convolve(barImg,receptiveFieldMatrix(lambda x,y: gaussian2D(x,y,5)), mode='same')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "imgplot = plt.imshow(Img_barGaussian, cmap=cm.Greys_r)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ "Img_bugGaussian = signal.convolve(bugImg,receptiveFieldMatrix(lambda x,y: gaussian2D(x,y,3)), mode='same')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 15 }, { "cell_type": "code", "collapsed": false, "input": [ "imgplot = plt.imshow(Img_bugGaussian, cmap=cm.Greys_r)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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STvtJWi4hZpvLhAp1PSQ1w7tlCtsmQtt06qVsJCAlSSv2mY0w2zUTW/vWrtlWF4ZIIqZ5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\n8yXj1DoH2Wb4fRszl52zr65LP67UVaZLYWierU96Cpp8oMAlWkUNrRD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"text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Difference of Gaussians\n", "---------------------\n", "\n", "The mexican hat function is a difference of gaussians, which leads to an on-center, off-surround receptive field, found in retinal ganglion cells or LGN neurons. It can be seen as a basic edge detector." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def mexicanHat(x,y,sigma1,sigma2): \n", " return gaussian2D(x,y,sigma1) - gaussian2D(x,y,sigma2)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "plotFilter(lambda x,y: mexicanHat(x,y,3,4))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "Img_barHat = signal.convolve(barImg,receptiveFieldMatrix(lambda x,y:mexicanHat(x,y,3,4)), mode='same')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": [ "imgplot = plt.imshow(Img_barHat, cmap=cm.Greys_r)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 19 }, { "cell_type": "code", "collapsed": false, "input": [ "Img_bugHat = signal.convolve(bugImg,receptiveFieldMatrix(lambda x,y: mexicanHat(x,y,2,3)), mode='same')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 23 }, { "cell_type": "code", "collapsed": false, "input": [ "imgplot = plt.imshow(Img_bugHat, cmap=cm.Greys_r)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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RJ7FdGEqazz33HN555x2srq5iaGgIf/3Xf41vf/vbePbZZ/GTn/wEIyMj+NnP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\nOzsbp0+fTvvKnfFENL8o7HwMwmVP5rq0tJT2s+sFaSMjI3Hy5Mn0IrO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/HhMTExERMTEx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\nE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"text": [ "" ] } ], "prompt_number": 25 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Gabor functions\n", "---------------\n", "\n", "Gabor functions are used to detect edges with a specific orientation in images. Neurons which can be modeled using gabor functions are found throughout the visual cortex.\n", "\n", "Odd gabor:\n", "$$g_s(x,y):=sin(\\omega_x x + \\omega_y y)\\exp{(-\\frac{x^2+y^2}{2\\sigma^2})}$$\n", "Even gabor:\n", "$$g_c(x,y):=cos(\\omega_x x + \\omega_y y)\\exp{(-\\frac{x^2+y^2}{2\\sigma^2})}$$\n", "\n", "Orientation is given by the ratio $\\omega_y/\\omega_x$. \n", "\n", "$g_s$ is activated by step edges, while $g_c$ is activated by line edges.\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def oddGabor2D(x,y,sigma,orientation):\n", " return math.sin(x + orientation*y) * math.exp(-(x**2 + y**2)/(2*sigma))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 26 }, { "cell_type": "code", "collapsed": false, "input": [ "def evenGabor2D(x,y, sigma, orientation):\n", " return math.cos(x + orientation*y) * math.exp(-(x**2 + y**2)/(2*sigma))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 27 }, { "cell_type": "code", "collapsed": false, "input": [ "plotFilter(lambda x,y: oddGabor2D(x,y,7,1))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 28 }, { "cell_type": "code", "collapsed": false, "input": [ "Img_barOddGabor = signal.convolve(barImg,receptiveFieldMatrix(lambda x,y: oddGabor2D(x,y,5,1)), mode='same')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 29 }, { "cell_type": "code", "collapsed": false, "input": [ "imgplot = plt.imshow(Img_barOddGabor, cmap=cm.Greys_r)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 30 }, { "cell_type": "code", "collapsed": false, "input": [ "Img_bugOddGabor = signal.convolve(bugImg,receptiveFieldMatrix(lambda x,y: oddGabor2D(x,y,5,1)), mode='same')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 35 }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "In the following plot one can see clearly the edge orientations that excite the neuron." ] }, { "cell_type": "code", "collapsed": false, "input": [ "imgplot = plt.imshow(Img_bugOddGabor, cmap=cm.Greys_r)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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3Xse81+VzF34av1mESfGCbExes3Ize3gZdPJXpaWCuIKtA11TzC0N27YZUdJl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"text": [ "" ] } ], "prompt_number": 36 }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Using the on-center, off-surround receptive field image as input to the gabor we obtain different results." ] }, { "cell_type": "code", "collapsed": false, "input": [ "Img_bugOddGaborEdge = signal.convolve(Img_bugHat,receptiveFieldMatrix(lambda x,y: oddGabor2D(x,y,5,1)), mode='same')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 46 }, { "cell_type": "code", "collapsed": false, "input": [ "imgplot = plt.imshow(Img_bugOddGaborEdge, cmap=cm.Greys_r)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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dhCOT1m1juBuQKdfofcgjThIjHVpQr9fh9/sRCATg9/vh9/sZaZZKJdTrdQSDQfh8Pqay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"text": [ "" ] } ], "prompt_number": 47 }, { "cell_type": "code", "collapsed": false, "input": [ "plotFilter(lambda x,y: evenGabor2D(x,y,7,1))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 37 }, { "cell_type": "code", "collapsed": false, "input": [ "Img_barEvenGabor = signal.convolve(barImg,receptiveFieldMatrix(lambda x,y: evenGabor2D(x,y,5,1)), mode='same')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 39 }, { "cell_type": "code", "collapsed": false, "input": [ "imgplot = plt.imshow(Img_barEvenGabor, cmap=cm.Greys_r)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 40 }, { "cell_type": "code", "collapsed": false, "input": [ "Img_bugEvenGabor = signal.convolve(bugImg,receptiveFieldMatrix(lambda x,y: evenGabor2D(x,y,5,1)), mode='same')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 41 }, { "cell_type": "code", "collapsed": false, "input": [ "imgplot = plt.imshow(Img_bugEvenGabor, cmap=cm.Greys_r)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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AwCm/AcxuPoOh/aY6SulFYZi8Q9D7mvB8XZ2XxjMSxYXj8bU0ed7afY09SM+N+AJmlOdG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\nFtcGn9Wv7AlocnIYV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"text": [ "" ] } ], "prompt_number": 42 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Quadrature Pairs\n", "------------------\n", "\n", "A complex cell might react equally well to step edges and lines of either polarity. This is modeled by summing the squared responses of both odd and even gabor filter. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "def edgeEnergy(x,y,sigma, orientation):\n", " g1= oddGabor2D(x,y,sigma,orientation)\n", " g2= evenGabor2D(x,y,sigma,orientation)\n", " return(g1**2+g2**2)\n" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 43 }, { "cell_type": "code", "collapsed": false, "input": [ "plotFilter(lambda x,y:edgeEnergy(x,y,50,0))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 44 }, { "cell_type": "code", "collapsed": false, "input": [ "Img_barEdgeEnergy = signal.convolve(barImg,receptiveFieldMatrix(lambda x,y: edgeEnergy(x,y,100,1)), mode='same')\n", "imgplot = plt.imshow(Img_barEdgeEnergy, cmap=cm.Greys_r)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 48 }, { "cell_type": "code", "collapsed": false, "input": [ "Img_bugEdgeEnergy = signal.convolve(bugImg,receptiveFieldMatrix(lambda x,y: edgeEnergy(x,y,10,1)), mode='same')\n", "imgplot = plt.imshow(Img_bugEdgeEnergy, cmap=cm.Greys_r)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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dS7M5GcI6o1zj+kgcTgsA4ixOOmSXFoGvrKwgl8uhVqsN7WWfNODs9/toNptD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"text": [ "" ] } ], "prompt_number": 54 }, { "cell_type": "markdown", "metadata": {}, "source": [ "References \n", "-------------\n", "\n", "Introduction to Computational Neuroscience, Hanspeter Mallot, [University of T\u00fcbingen](http://www.uni-tuebingen.de/cog)" ] } ], "metadata": {} } ] }