{ "cells": [ { "cell_type": "code", "execution_count": 85, "id": "010fe942", "metadata": { "collapsed": false }, "outputs": [], "source": [ "from pylab import *\n", "from scipy.ndimage import filters,measurements\n", "from scipy import stats" ] }, { "cell_type": "markdown", "id": "8a499ee2", "metadata": {}, "source": [ "Let's start with a \"trivial\" edge detector: this just finds all the pixels where local differences are above a threshold." ] }, { "cell_type": "code", "execution_count": 45, "id": "8e695f85", "metadata": { "collapsed": false }, "outputs": [], "source": [ "def trivedges(m,threshold=1e-3):\n", " return abs(m-roll(m,1,0))+abs(m-roll(m,1,1))>threshold" ] }, { "cell_type": "markdown", "id": "92b31dc9", "metadata": {}, "source": [ "# Mondrian World" ] }, { "cell_type": "markdown", "id": "6d74a5a3", "metadata": {}, "source": [ "Generate a \"Mondrian world\" image." ] }, { "cell_type": "code", "execution_count": 101, "id": "677d0195", "metadata": { "collapsed": false }, "outputs": [], "source": [ "def mondrian(dims=(200,200),sr=(20,50),n=100,noise=0.5):\n", " h,w = dims\n", " image = zeros(dims)\n", " for i in range(n):\n", " y = randint(h)\n", " x = randint(w)\n", " ry = randint(*sr)\n", " rx = randint(*sr)\n", " y0 = clip(y-ry,0,h)\n", " y1 = clip(y+ry,0,h)\n", " x0 = clip(x-rx,0,w)\n", " x1 = clip(x+rx,0,w)\n", " image[y0:y1,x0:x1] = rand()\n", " edges = trivedges(image)\n", " return image+noise*randn(*image.shape),edges" ] }, { "cell_type": "markdown", "id": "cf29c7b1", "metadata": {}, "source": [ "The `mondrian` function returns both a noisy image and an edge map." ] }, { "cell_type": "code", "execution_count": 110, "id": "f1676690", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 110, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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N0xSl6WAwwP7+PobDIfr9vlD3qtWq+LxwOUh/k1qthsPDQ1iWJXxu+pwzlg0A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OTsdDq4ffs2dnZ2hJFzMiajxWQySYlIzrbFYpHPiM1mQyQSwbVr1zCZTHD79m2Ew2GcOXNGEzHV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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "image,edges = mondrian(noise=0.1)\n", "subplot(121); imshow(image,cmap=cm.gray)\n", "subplot(122); imshow(edges,cmap=cm.gray)" ] }, { "cell_type": "markdown", "id": "0c887715", "metadata": {}, "source": [ "Trivial edge detection applied to the noisy image results in rather noisy output." ] }, { "cell_type": "code", "execution_count": 112, "id": "8669062e", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 112, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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VajXa29tz3gvhk0ZsPysUCtRoNLJttCKuSxP7AQSQzxHY29vrLSqlUil5k8eIESNw8+bN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\nDtlHMGfOHNlEGABQUVGBnJwcAB1Zevbv348bN25g3759/PvdtbW1yMv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v8uU7W/u0yvB3\nDZxyyqn7T86dhU455ZQzEDjllFPOQOCUU07BGQiccsopOAOBU045BWcgcMoppwD8H341odJEHhlm\nAAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imshow(trivedges(m,threshold=0.5),cmap=cm.gray)" ] }, { "cell_type": "markdown", "id": "f1b27f81", "metadata": {}, "source": [ "# F-Measure Evaluation" ] }, { "cell_type": "markdown", "id": "744dc213", "metadata": {}, "source": [ "Evaluation of an edge detector can be done by the _f-measure_.\n", "This computes the fraction of returned edge pixesl that are correct (precision)\n", "and the fraction of all true edge pixels that are returned (recall).\n", "The harmonic mean of these two is called the _f-measure_.\n", "\n" ] }, { "cell_type": "code", "execution_count": 113, "id": "a84b20e6", "metadata": { "collapsed": false }, "outputs": [], "source": [ "def evaluate_edges(truth,pred,b=5):\n", " cases = array(2*(truth!=0)+(pred!=0),'i')[b:-b,b:-b]\n", " c00,c01,c10,c11 = measurements.sum(ones(cases.shape),cases,arange(4))\n", " precision = c11 * 1.0 / (c01 + c11)\n", " recall = c11 * 1.0 / (c10 + c11)\n", " fmeasure = precision * recall / (precision + recall)\n", " return fmeasure,precision,recall\n", "\n" ] }, { "cell_type": "code", "execution_count": 114, "id": "53a7960f", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(0.046415529502210263, 0.051003167898627244, 0.51602564102564108)" ] }, "execution_count": 114, "metadata": {}, "output_type": "execute_result" } ], "source": [ "evaluate_edges(edges,trivedges(m,threshold=0.2))" ] }, { "cell_type": "markdown", "id": "d83e76c6", "metadata": {}, "source": [ "We can now try to find the optimal edge detection parameters.\n", "\n" ] }, { "cell_type": "code", "execution_count": 117, "id": "d03a29e7", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 117, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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YLVkKKZ4pNS2Vvuv6Mj5gvHkUdvj7bVZvb2jXTloGC2EEUtyt3DeHvsHZwZkB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\nMUk8YcVSU7W2NP/7KJUvyk7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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "es = []\n", "ts = linspace(0.0,1.5,100)\n", "for threshold in ts:\n", " e = evaluate_edges(edges,trivedges(image,threshold=threshold))\n", " es.append(e)\n", "es = array(es)\n", "plot(ts,es[:,0])\n", "plot(ts,es[:,1])\n", "plot(ts,es[:,2])" ] }, { "cell_type": "markdown", "id": "f2472e4f", "metadata": {}, "source": [ "# Blobworld" ] }, { "cell_type": "markdown", "id": "b1a0b258", "metadata": {}, "source": [ "Here is a second model image generator.\n", "\n" ] }, { "cell_type": "code", "execution_count": 127, "id": "01a9dedf", "metadata": { "collapsed": false }, "outputs": [], "source": [ "def blobworld(dims=(200,200),sigma=10.0,frac=0.5,noise=0.5):\n", " h,w = dims\n", " image = randn(*dims)\n", " image = filters.gaussian_filter(image,sigma)\n", " threshold = stats.scoreatpercentile(image,frac*100)\n", " image = (image>threshold)\n", " image,n = measurements.label(image)\n", " image = rand(n+1)[image]\n", " edges = trivedges(image)\n", " return image+noise*randn(*image.shape),edges" ] }, { "cell_type": "code", "execution_count": 128, "id": "7dcd5cb9", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 128, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ZTMbMzAyBQIB6vc5vf/tbMRCT2jVGo5GNjQ2uuuoq7rrrLtLpNB0dHchkMk6c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HAAAg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\nDiKRCMlkEj6fDxs3bkQul4NQKKSuyk2bNkEul8PpdGJxcZGyX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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "bw,be = blobworld()\n", "subplot(121); imshow(bw,cmap=cm.gray)\n", "subplot(122); imshow(be,cmap=cm.gray)" ] }, { "cell_type": "markdown", "id": "746b18e5", "metadata": {}, "source": [ "# Homework" ] }, { "cell_type": "markdown", "id": "b756caf7", "metadata": {}, "source": [ "(1) Construct an edge detector by applying a smoothing filter followed by a `trivedges`-style derivative and appropriate thresholding. For smoothing filters, try at least `uniform_filter` and `gaussian_filter`. For the given default noise levels in `mondrian` and `blobworld`, find the optimal parameters for both filters in terms of f-measure by exploring the parameter space. To do this, generate a fixed list of test cases, perform edge detection with different parameters, and evaluate the f-measure for all of them and average the f-measure (additional question: is averaging the right thing to combine f-measures?).\n", "\n", "(2) Add hysteresis thresholding to the edge detector and try different hysteresis thresholding parameters; can you improve the f-measure?" ] }, { "cell_type": "code", "execution_count": null, "id": "477a9b53", "metadata": { "collapsed": false }, "outputs": [], "source": [] } ], "metadata": {}, "nbformat": 4, "nbformat_minor": 5 }