{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "plt.plot()" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def gaussian_kernel(size, size_y=None):\n", " size = int(size)\n", " if not size_y:\n", " size_y = size\n", " else:\n", " size_y = int(size_y)\n", " x, y = numpy.mgrid[-size:size+1, -size_y:size_y+1]\n", " g = numpy.exp(-(x**2/float(size)+y**2/float(size_y))/100)\n", " return g / g.sum()\n", " \n", "# Make the Gaussian by calling the function\n", "gaussian_kernel_array = gaussian_kernel(1001)\n", "\n", "\n", "plt.imshow(gaussian_kernel_array, cmap=plt.get_cmap('gray'), interpolation='nearest')\n", "plt.axis('off')\n", "plt.savefig(\"data/2d_gaussian.png\", dpi=400)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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H/c24oX2t1WpxaAHzA/afexpA6kGe9JFLX5iXZJXIMoBs2bJle0UMYOCBHyzo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fI8gCWB66MochN6s9l0IIyplcWTxVYZIgWv6nQEIJtOp7ZcLm21WjkIgzVTiRIMHxpMlS0BUgFg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\nRK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import cv2\n", "\n", "img = cv2.imread('data/2d_gaussian.png', 0)\n", "f = numpy.fft.fft2(img)\n", "fshift = numpy.fft.fftshift(f)\n", "magnitude_spectrum = 20*numpy.log(numpy.abs(fshift))\n", "\n", "plt.figure(figsize=(12,12))\n", "plt.subplot(121), plt.imshow(img, cmap='gray')\n", "plt.title('Input image'), plt.xticks([]), plt.yticks([])\n", "plt.subplot(122), plt.imshow(magnitude_spectrum, cmap='gray')\n", "plt.title('Magnitude spectrum'), plt.xticks([]), plt.yticks([])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.9" } }, "nbformat": 4, "nbformat_minor": 0 }