{ "metadata": { "name": "", "signature": "sha256:ffbee699962cdb74093912d0b85993ce238b6d2acadae221fe7905178bd0791a" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "import cv2\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from skimage import io\n", "from numpy import fft\n", "\n", "from IPython.html import widgets\n", "\n", "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Image Processing in OpenCV\n", "- [resource](http://docs.opencv.org/trunk/doc/py_tutorials/py_feature2d/py_table_of_contents_feature2d/py_table_of_contents_feature2d.html#py-table-of-content-feature2d)\n", "\n", "## Harris Corner Detection\n", "- corners are regions in the image with large variation in intensity in all the directions.\n", "- it cannot be directly used as features\n", "- `cv2.cornerHarris()`: cornerHarris(src, blockSize, ksize, k[, dst[, borderType]]) -> dst\n", "- blockSize specifies neighborhood for change of pixel, ksize for calculation of derivative in sobel, k is free parameter\n", "\n", "## Shi-Tomasi Good Feature to Track\n", "- modification to Harris Corner, it picks N strongest corners\n", "- goodFeaturesToTrack(image, maxCorners, qualityLevel, minDistance[, corners[, mask[, blockSize[, useHarrisDetector[, k]]]]]) -> corners" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Harris Corner" ] }, { "cell_type": "code", "collapsed": false, "input": [ "sudoku = cv2.imread(\"public-images/fish.png\")[:,:,::-1]\n", "gray_sudoku = cv2.cvtColor(sudoku, cv2.COLOR_RGB2GRAY)\n", "plt.imshow(gray_sudoku, cmap = plt.cm.gray)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 63, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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X9STBx2Ixj8/ClmeCCN7+H0mnvzzuW9/6FlzXxfve976q97idsBiC7wPwJQAX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\n4OsA8gCOAjgC4JUAtgHoAcDsSl8FcP1iKq1QKBSK+lhsmOS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"text": [ "" ] } ], "prompt_number": 63 }, { "cell_type": "code", "collapsed": false, "input": [ "corners = cv2.cornerHarris(gray_sudoku, 2, 3, 0.0001)\n", "corners = cv2.dilate(corners, np.ones((5, 5)))\n", "corners = corners >= 0.0001*corners.max()\n", "## dilate to make it more visible\n" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 64 }, { "cell_type": "code", "collapsed": false, "input": [ "img = sudoku.copy()\n", "img[corners] = (255, 0, 0)\n", "plt.imshow(img)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 65, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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Qriy0yuGHpJRu3zqi5mhr/mpJPhBJu12FWfRZ1OOw5FelGoTMQ9XIJJfGCbl7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\nCijoLrSJOz1K4yXK9QpKKbpzbfa962yRZWriKK0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YSKnRQEdanKk2d6xipRlLseiXNYbu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"text": [ "" ] } ], "prompt_number": 65 }, { "cell_type": "code", "collapsed": false, "input": [ "def plot_corner(k):\n", " corners = cv2.cornerHarris(gray_sudoku, 2, 3, k = 10**k)\n", " corners = cv2.dilate(corners, np.ones((5, 5)))\n", " corners = corners >= 0.0001*corners.max()\n", " plt.imshow(corners)\n", " \n", "widgets.interact(plot_corner, k = (-5, 2, 0.1))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 51 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Good Features to Track" ] }, { "cell_type": "code", "collapsed": false, "input": [ "corners = cv2.goodFeaturesToTrack(gray_sudoku, 15, 0.1, 100, )\n", "\n", "img = sudoku.copy()\n", "\n", "for c in corners[:,:,:]:\n", " x, y = map(int, c[0])\n", " img = cv2.circle(img, (x, y), 10, color = (0, 255, 0), thickness = -1)\n", " \n", "plt.imshow(img)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 73, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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5hiTRPA3M//PX4HbfJztDwh1ILUMFpdsYSinQs05LqpvkkS6flLEq2ajO2h5U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\ncDHNMAyx0pqQB+plBc5jCoO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d/w5DCz4rMmxuqGpHvWzItZJFQIjRJkOgmi6pDpaMzm6x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