{ "cells": [ { "cell_type": "code", "execution_count": 132, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n", "<< back to chapter content

Last updated: 19/11/2015

\n", " show/hide source code\n", " " ], "text/plain": [ "" ] }, "execution_count": 132, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%matplotlib inline\n", "import sys\n", "sys.path.insert(0,'..')\n", "from IPython.display import HTML,Image,SVG,YouTubeVideo\n", "from helpers import header\n", "\n", "HTML(header())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Object moments\n", "We have seen that moments can be used to describe [contours](./02-Contour%20features.ipynb#Moments), similarily, the content of the shape can be described by this feature.\n", "\n", "\n", "* definition\n", "The definition in the continuous domain is as follow" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$ m_{pq} = \\int_{-\\infty}^{+\\infty} \\int_{-\\infty}^{+\\infty} x^p y^q f(x,y)\\:dx\\:dy $$\n", "\n", "$$ \\mu_{pq} = \\int_{-\\infty}^{+\\infty} \\int_{-\\infty}^{+\\infty} (x-\\bar x)^p (y-\\bar y)^q f(x,y)\\:dx\\:dy $$\n", "\n", "$$ \\bar{x}=\\frac{m_{10}}{m_{00}},\\bar{y}=\\frac{m_{01}}{m_{00}} $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "for a discrete domain, which is the case for image of pixels, we have" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$ m_{pq} = \\sum_{x= -\\infty}^{+\\infty}\\sum_{y=-\\infty}^{+\\infty} x^p \\; y^q \\; f(x,y) $$\n", "\n", "to eliminate the influence of the absolute shape position, one define the centered moments $\\mu$\n", "\n", "$$ \\mu_{pq} = \\sum_{x= -\\infty}^{+\\infty}\\sum_{y=-\\infty}^{+\\infty} (x-\\bar x)^p \\; (y-\\bar y)^q \\; f(x,y) $$ \n", "\n", "to eliminate the influence of the scale, one define $\\eta$ as the normalized $\\mu$\n", "\n", "$$ \\eta_{pq} = \\frac{\\mu_{pq}}{\\mu_{00}^\\gamma} $$\n", "\n", "with \n", "\n", "$$ \\gamma = \\frac{p+q}{2} + 1 $$\n", "\n", "Up to here, $\\eta_{pq}$ are independent to translation and scale, by are still dependent to the rotation\n", "\n", "Hu defined invariants, called Hu's invariants, that combined $\\eta_{pq}$ having the rotation invariance property,\n", "\n", "$$ \n", "\\begin{align}\n", "I_1 =\\ & \\eta_{20} + \\eta_{02} \\\\\n", "I_2 =\\ & (\\eta_{20} - \\eta_{02})^2 + (2\\eta_{11})^2 \\\\\n", "I_3 =\\ & (\\eta_{30} - 3\\eta_{12})^2 + (3\\eta_{21} - \\eta_{03})^2 \\\\\n", "I_4 =\\ & (\\eta_{30} + \\eta_{12})^2 + (\\eta_{21} + \\eta_{03})^2 \\\\\n", "I_5 =\\ & (\\eta_{30} - 3\\eta_{12}) (\\eta_{30} + \\eta_{12})[ (\\eta_{30} + \\eta_{12})^2 - 3 (\\eta_{21} + \\eta_{03})^2] + \\\\\n", "\\ & (3\\eta_{21} - \\eta_{03}) (\\eta_{21} + \\eta_{03})[ 3(\\eta_{30} + \\eta_{12})^2 - (\\eta_{21} + \\eta_{03})^2] \\\\\n", "I_6 =\\ & (\\eta_{20} - \\eta_{02})[(\\eta_{30} + \\eta_{12})^2 - (\\eta_{21} + \\eta_{03})^2] + 4\\eta_{11}(\\eta_{30} + \\eta_{12})(\\eta_{21} + \\eta_{03}) \\\\\n", "I_7 =\\ & (3\\eta_{21} - \\eta_{03})(\\eta_{30} + \\eta_{12})[(\\eta_{30} + \\eta_{12})^2 - 3(\\eta_{21} + \\eta_{03})^2] + \\\\\n", "\\ & (\\eta_{30} - 3\\eta_{12})(\\eta_{21} + \\eta_{03})[3(\\eta_{30} + \\eta_{12})^2 - (\\eta_{21} + \\eta_{03})^2].\n", "\\end{align}\n", "$$\n", "\n", "High order invariants can be very sensitive to noise, due to the high order exponent in the sum." ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ ">see also:\n", "* Moments [DIP](../00-Preface/06-References.ipynb#[DIP]) p514\n" ] }, { "cell_type": "code", "execution_count": 133, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlEAAAJMCAYAAADaNPObAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n8soAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from skimage.morphology import disk, square\n", "import matplotlib.pyplot as plt\n", "from skimage.measure import label,regionprops\n", "from skimage.io import imread\n", "from scipy.spatial.distance import pdist,squareform\n", "\n", "ima = imread('http://homepages.ulb.ac.be/~odebeir/data/alphabet.png')[:,:,0]==0\n", "lab,nlab = label(ima,return_num=True)\n", "\n", "# extract label features\n", "props = regionprops(lab)\n", "\n", "hu = []\n", "for p in props:\n", " hu.append(p.moments_hu)\n", "hu = np.asarray(hu)\n", "\n", "# normalize Hu's features\n", "mean_hu = np.mean(hu,axis=0)\n", "std_hu = np.std(hu,axis=0)\n", "norm_hu = (hu-mean_hu)/std_hu\n", "\n", "# compute pairwize distance based on normalized Hu's features\n", "dist = squareform(pdist(norm_hu))\n", "\n", "plt.figure(figsize=[10,10])\n", "plt.imshow(dist,interpolation='nearest');\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "searching for nearest resembling object, using Hu's invariant features" ] }, { "cell_type": "code", "execution_count": 134, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWIAAAD/CAYAAADL09xTAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "idx = np.argsort(dist[1,:])\n", "plt.figure()\n", "for j,i in enumerate(idx[:16]):\n", " bb = props[i].bbox\n", " crop = ima[bb[0]:bb[2],bb[1]:bb[3]]\n", " plt.subplot(4,4,j+1)\n", " plt.imshow(crop)" ] }, { "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": "2.7.11" } }, "nbformat": 4, "nbformat_minor": 0 }