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Created November 27, 2013 10:53
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Ipython notebook analysing anisotropy of a segmented object (chromosome image) by successive erosion
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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"from __future__ import division \n",
"import numpy as np\n",
"from scipy import ndimage as nd\n",
"import pymorph\n",
"import mahotas\n",
"import mahotas.polygon\n",
"import pylab\n",
"import os\n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 58
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# -*- coding: utf-8 -*-\n",
"\"\"\"\n",
"Created on Thu Apr 7 15:19:19 2011\n",
"\n",
"@author: Jean-Patrick Pommier\n",
"http://www.dip4fish.blogspot.com\n",
"\"\"\"\n",
"\n",
"\n",
"def HighPass(im,size):\n",
" blur=nd.gaussian_filter(im, size)\n",
" hi=pymorph.subm(im,blur)\n",
" return hi\n",
"\n",
"def PeakByModalValue(array):\n",
" '''look for the modal value of a 2D array'''\n",
" x=array[0,:]\n",
" y=array[1,:]\n",
" print \"y.shape\",y.shape[0]\n",
" print \"y[0]\",y[0]\n",
" print \"y[y.shape[0]-1]\",y[y.shape[0]-1]\n",
" print \"Searching modal value\"\n",
" xmin=x.min()#image min graylevel\n",
" xmax=x.max()#image max gray level\n",
" mode=xmin\n",
" countmax=0#occurence of a given grayscale\n",
" #print \"mig=\",xmin,\" mag=\",xmax\n",
" for i in range(0,y.shape[0]-1):\n",
" test=y[i]>countmax\n",
" #print \"test:\",test,\"histo(\",i,\")=\", y[i],\"max\",countmax\n",
" if test:\n",
" countmax=y[i]\n",
" mode=x[i]\n",
" #print \"mode\",mode\n",
" return mode\n",
" \n",
"class particle(object):\n",
" rotatedIm=np.array([[0,0],[0,0]])\n",
" rotatedFlag=False\n",
" #ratio of particle area by convexhull area\n",
" #close to 1 for a convex particle\n",
" #lower for other as touching chromosomes\n",
" CvxhParticleArea_ratio=0\n",
" \n",
" def __init__(self,arrayIm):\n",
" '''\n",
" Initially the rotated image is empty and the flag\n",
" indicates that no rotation is performed\n",
" '''\n",
" self.particuleImage=arrayIm\n",
" self.rotatedIm=np.array([[0,0],[0,0]])\n",
" self.compassTable=np.array([[0,0],[0,0]])\n",
" self.compassTablePeaks=np.array([[0,0],[0,0]])\n",
" \n",
" def cvxhull_area(self):\n",
" '''\n",
" Calculate the convexhull area such that:\n",
" A=0.5*Sumfrom 0 to N-1 of {xn+1*yn-xn*yn+1}\n",
" Pn(xn,yn) and PN=P0\n",
" see http://en.wikipedia.org/wiki/Polygon#Area_and_centroid\n",
" '''\n",
" #print \"cvxhull called\" \n",
" binIm=self.particuleImage>0\n",
" area=np.sum(binIm[:,:]==True)\n",
" print \"area\",area\n",
" #print binIm.dtype\n",
" contour=mahotas.bwperim(binIm)\n",
" #print \"contour\",contour.dtype\n",
" pointlist=mahotas.polygon.convexhull(contour)\n",
" N=len(pointlist)\n",
" fP=pointlist[0]\n",
" #duplicate the first point P0\n",
" #at the end such that PointN=Point0\n",
" pointlist.append(fP)\n",
" s=0\n",
" #compute the sum from 0 to N-1\n",
" for i in range(0,N-1):\n",
" cx=pointlist[i][0]#x of the current point\n",
" cy=pointlist[i][1]#y of the current point\n",
" #print \"Point\",i,\" x=\",cx,\" y=\",cy\n",
" nx=pointlist[i+1][0]#x of the next point\n",
" ny=pointlist[i+1][1]#y of the next point\n",
" #print \"Point suiv\",i+1,\" x=\",nx,\" y=\",ny\n",
" det=nx*cy-cx*ny\n",
" s=s+det\n",
" #print \"det:\",det,\" S=\",s\n",
" CvxhParticleArea_ratio=area/(0.5*abs(s))\n",
" return 0.5*abs(s),CvxhParticleArea_ratio\n",
" \n",
" def getVerticalImage(self):\n",
" return self.rotatedIm\n",
" \n",
" def getcompassTableDerivative(self):\n",
" return self.compassTablePeaks \n",
" \n",
" def orientationByErosion(self,step):\n",
" ''' Performs successive rotations of a binary particle from 0 to 180 by \"step\"\n",
" Then at each angle performs:\n",
" *successives erosions\n",
" *pixel counts\n",
" Find relationship between angle and the minimal erosion to destroy the particle \n",
" An anisotropic particle such a long chromosome should have a \n",
" principal orientation, overlapping chromosomes should have at least two\n",
" orientation.\n",
" ''' \n",
" def compassTableDerivative(table):\n",
" deriv=np.zeros(table.shape)\n",
" x=table[0,:]\n",
" y=table[1,:]\n",
" for i in range(1,y.shape[0]-1):\n",
" deriv[1,i]=(y[i+1]-y[i])/((x[i+1]-x[i]))\n",
" deriv[0,i]=x[i]\n",
" print \"delta y\",y[i+1]-y[i]\n",
" print \"delta x\",x[i+1]-x[i]\n",
" print \"der\",deriv[1,i]\n",
" self.compassTablePeaks=np.copy(deriv) \n",
" return self.compassTablePeaks\n",
" \n",
" def erodeVParticle(im):\n",
" '''Counts the number of vertical erosion neccessary \n",
" to destroy a particule\n",
" vline is a 3X1 structuring element\n",
" DestroyParticle returns the scalar number:nb_erosion\n",
" necessary to erode totally a binary particle'''\n",
" \n",
" def countTruePix(bim):\n",
" '''bim must be a flat binary (True,False) array \n",
" counts the occurence of True (pixel) in a binary array/image ''' \n",
" return np.sum(bim[:,:]==True) \n",
" vline=np.array([[0,1,0],\n",
" [0,1,0],\n",
" [0,1,0]])\n",
" #threshold the image\n",
" binaryIm=(im>0)\n",
" pixcount=countTruePix(binaryIm)\n",
" nb_erosion=1\n",
" while pixcount>0:\n",
" erodedIm=nd.binary_erosion(binaryIm,structure=vline,iterations=nb_erosion)\n",
" nb_erosion=nb_erosion+1\n",
" pixcount=countTruePix(erodedIm)\n",
" #erodedParticle work should be done here\n",
" return nb_erosion\n",
" #\n",
" #Analysis of the particle orientation starts here\n",
" #\n",
" maxRotationNubr=180/step\n",
" #rotation angle from 0 to 180 by step of 5\u00b0\n",
" compassTable=np.zeros((2,maxRotationNubr+1),dtype=np.uint8)\n",
" #Store \n",
" #print compassTable.shape\n",
" i=0\n",
" angle=i*step \n",
" rotatedIm=self.particuleImage\n",
" #print self.particuleImage.shape\n",
" while i<=maxRotationNubr:\n",
" maxErosion=erodeVParticle(rotatedIm)\n",
" compassTable[0,i]=angle\n",
" compassTable[1,i]=maxErosion\n",
" #print \"i=\",i,\" angle=\",angle,\" -erosion max:\",maxErosion\n",
" rotatedIm=nd.rotate(self.particuleImage,angle)\n",
" i=i+1 \n",
" angle=i*step\n",
" majorAngle=PeakByModalValue(compassTable)\n",
" self.rotatedIm=nd.rotate(self.particuleImage,majorAngle)\n",
" self.rotatedFlag=True\n",
" return majorAngle,compassTable,self.rotatedIm\n",
" \n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import urllib\n",
"\n",
"image_name = \"part14.png\"\n",
"web = urllib.URLopener()\n",
"web.retrieve(url, image_name)\n",
"image = mahotas.imread(image_name)\n",
"imshow(image[:,:,0])\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 24,
"text": [
"<matplotlib.image.AxesImage at 0xb8e720c>"
]
},
{
"metadata": {},
"output_type": "display_data",
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Pz20Ro2yXCLPMfMeVLNxIwrG24eTouCgI0UjOYj6fbyFIbTpbDWo7SacJRYk5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\n0eFwOAw4OTocDocBJ0eHw+Ew8P/fhB5baNMBpwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0xb5aa9cc>"
]
}
],
"prompt_number": 24
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"im=image[:,:,0]\n",
"hip=pymorph.subm(im,nd.gaussian_filter(im,3))\n",
"#print im.dtype#print uint16\n",
"p1=particle(im)\n",
"#print \"particle 1\",p1.cvxhull_area()\n",
"p2=particle(hip)\n",
"#print \"particle 1 hi pass\",p2.cvxhull_area()\n",
"theta1,rosedesvents,VImage=p1.orientationByErosion(10)\n",
"theta2,rdv,VHip=p2.orientationByErosion(10)\n",
"x=rosedesvents[0,:]\n",
"y=rosedesvents[1,:]\n",
"xh=rdv[0,:]\n",
"yh=rdv[1,:]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"y.shape 19\n",
"y[0] 22\n",
"y[y.shape[0]-1] 20\n",
"Searching modal value\n",
"y.shape"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" 19\n",
"y[0] 19\n",
"y[y.shape[0]-1] 15\n",
"Searching modal value\n"
]
}
],
"prompt_number": 26
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pylab.subplot(321,frameon=False, xticks=[], yticks=[])\n",
"pylab.gray() \n",
"pylab.imshow(im)\n",
"\n",
"pylab.subplot(322,frameon=False, xticks=[], yticks=[])\n",
"pylab.imshow(hip)\n",
"\n",
"pylab.subplot(323)\n",
"pylab.title(\"Resistance to vertical erosion\")\n",
"pylab.ylabel(\"nb erosion\")\n",
"pylab.xlabel(\"rotation angle\")\n",
"pylab.plot(x,y,xh,yh)\n",
"\n",
"pylab.subplot(324,frameon=False, xticks=[], yticks=[])\n",
"pylab.imshow(VImage)\n",
"\n",
"pylab.subplot(326,frameon=False, xticks=[], yticks=[])\n",
"pylab.imshow(VHip)\n",
"pylab.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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HcjWZLC8Xi8WIRCKkUinRClxBYagoFAq0trYSj8fZsWNHn35wsgFub28H2KMZ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\nAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0xb8f854c>"
]
}
],
"prompt_number": 60
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"subplot(121, polar=False)\n",
"bar(x, y, width=0.1, bottom=0.0)\n",
"\n",
"subplot(122, polar=False)\n",
"imshow(im)\n",
"\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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HVYiRSGRce1XgciqJen+Ew2G5yUiH3++H1+uFz+eDy+WCz+eb8ec4V9CINCbv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\nTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0xc03034c>"
]
}
],
"prompt_number": 62
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"vert = p1.getVerticalImage()\n",
"imshow(vert)\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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8++67GB8fN9ssGSfTtZaNKJFIBLFYDO3t7ejq6jJHe3s74vE4YrEYEokE2tvb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\nXoMktCxh2QMcvDHIpfI82F+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"text": [
"<matplotlib.figure.Figure at 0xba3bfec>"
]
}
],
"prompt_number": 66
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 57
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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