{ "metadata": { "name": "", "signature": "sha256:6ec1927c8acaa4464741bdc11c3906cca0bf4fa69434c3280c4db706884543fd" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "#Compressed sensing of parameterized shapes in drawings" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Suppose we have an image $f$, aranged as a column vector of length $L_1L_2$, where $L_i$ are the image dimensions. We can write $f=H p$, where $H$ is the \"inverse\" Hough transform, and $p$ is a parameter space selector. We can form the $k^{th}$ column of $H$ by computing the image of the shape given by the parameters $\\pi_k$.\n", "\n", "We measure $y = \\Phi f = \\Phi H p$. The measurement we take is a projection of $f$ onto a set of $\\phi_m, m=\\{1,2,...,M\\}$ basis vectors. In practice, these vectors are random. One choice is using random Gaussian vectors. Another is simply drawing entries from $\\pm 1$ with probability one half. Gurbuz 2008 shows that these two approaches perform significantly better than random pixel measurement (as expected by coherence predictions). \n", "\n", "For the noiseless case, we can simply minimize $|p|_1$ subject to $y=A p$ (where $A=\\Phi H$), which can be phrased as a linear program. Any real world measurement will have noise, so we must address this in our solution. Suppose we have $y=Ap+z$, where $z \\sim \\mathcal{N}(0,\\sigma^2)$. One way is simply to relax the linear equality constraint by a user-supplied factor $\\epsilon$, so $|y-Ap|_2 < \\epsilon$. This will recover the solution, but is a second order cone problem as opposed to a linear program. \n", "\n", "If we wish to continue solving a linear program, we can use the Dantzig Selector, minimizing $|p|_1$ subject to $|A^\\top (y-Ap)|_\\infty < \\sigma\\sqrt{2\\log{N}}$. This constraint says that the residual of a candidate solution must not be very correlated with any column of $A$. This can be phrased as a linear program.\n", "\n", "There is a nice framework for incorporating multiple shape types into a single problem. This essentially amounts to stacking the vectors.\n", "\n", "LPs can be phrased in common language (c.f. http://abel.ee.ucla.edu/cvxopt/userguide/coneprog.html) and solved efficiently by available packages. SOCPs also. I've done this process of LP before, so maybe I'll stick to the Dantzig selector.\n", "\n", "All that remains in my head is figuring out how to efficiently calculate the matrix $A$. Each column of $H$ describes a binary image, so we can just pick elements from the random gaussian vectors...\n", "\n", "In background reading, I found a paper doing something similar, and used much of their derivations: http://users.ece.gatech.edu/justin/Publications_files/gurbuz08co.pdf" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline\n", "from numpy import *\n", "#from scipy import ndimage\n", "from scipy import misc\n", "from numpy.linalg import matrix_rank #for debug only" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Getting a hand drawn image" ] }, { "cell_type": "code", "collapsed": false, "input": [ "lines = misc.imread('lines.JPG')\n", "lines = .2126*lines[...,0] + .7152*lines[...,1] + .0722*lines[...,2]\n", "lines = lines.astype(uint8)\n", "lines = 255-lines #invert so lines are white\n", "N = 160\n", "lines = lines[0:0+N,80:80+N]\n", "plt.set_cmap('gray')\n", "plt.figure(figsize=(8,3.3));\n", "plt.subplot(121)\n", "imshow(lines);\n", "plt.subplot(122)\n", "#threshold\n", "lines = where(lines>128,255,0)\n", "imshow(lines);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAc8AAADYCAYAAACN3Gi8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nCwAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 93 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Generating the Hough basis" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def find_valid_coords(r,th,N,M):\n", " if -pi/4<=th<=pi/4:\n", " Y = arange(N,dtype=int32)\n", " X = (r*cos(th) - (Y-r*sin(th))*tan(th)).astype(int32)\n", " X = hstack((X-1,X))\n", " Y = hstack((Y,Y))\n", " #X = hstack((X-1,X,X+1))\n", " #Y = hstack((Y,Y,Y))\n", " valid = where(logical_and(M>X,X>=0))[0]\n", " elif -pi/2<=th<=pi/2:\n", " X = arange(M,dtype=int32)\n", " Y = (r*sin(th) + (X-r*cos(th))/tan(-th)).astype(int32)\n", " X = hstack((X,X))\n", " Y = hstack((Y-1,Y))\n", " #X = hstack((X,X,X))\n", " #Y = hstack((Y-1,Y,Y+1))\n", " valid = where(logical_and(N>Y,Y>=0))[0]\n", " return X[valid], Y[valid]\n", "\n", "def make_h(r,th,N,M):\n", " '''\n", " Make the NxM pixel image vector corresponding to Hough parameters r,th\n", " '''\n", " h = zeros((N,M),int32)\n", " X,Y = find_valid_coords(r,th,N,M)\n", " h[Y,X] = 255\n", " return h\n", "def h_k(p):\n", " return make_h(p[0],p[1],N,N)\n", "def h_endpts(r,th,N,M):\n", " X,Y = find_valid_coords(r,th,N,M)\n", " ends = array([0,-1])\n", " return X[ends],Y[ends]\n", "\n", "def pick_top_n(signal,n):\n", " #select the top n values from signal, return indices\n", " #this is wasteful, but fast to write\n", " return argsort(signal)[::-1][:n]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 72 }, { "cell_type": "code", "collapsed": false, "input": [ "#generate the Hough grid for the problem. We need to make sure each shape has adequate\n", "#support. As a heuristic, we only keep shapes with 50 valid pixels.\n", "N=50\n", "N_r = 60\n", "N_th = 60\n", "pi_r = linspace(-sqrt(2)*N,sqrt(2)*N,N_r)\n", "pi_th = linspace(-pi/2,pi/2,N_th)\n", "#PI = dstack(meshgrid(pi_r,pi_th)).reshape(-1,2)\n", "PI = [] #array of r,th values\n", "#pic = zeros((N,N),uint8)\n", "for th in pi_th:\n", " for ri in pi_r:\n", " new = make_h(ri,th,N,N)\n", " if shape(where(new!=0)[0])[0]>.2*N:\n", " PI.append([ri,th])\n", " #pic +=new\n", "#plt.gca().set_aspect(1.)\n", "#imshow(pic)\n", "#plt.set_cmap('gray')\n", "PI = array(PI)\n", "M = shape(PI)[0] #length of decision variable x\n", "print M" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "1506\n" ] } ], "prompt_number": 98 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Constructing A and b" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#now we construct A=phi*H. Let's use the +-1 approach for phi to keep working with integers\n", "K=400 #number of random projections\n", "A = zeros((K,M),int32)\n", "#Phi = 2*randint(2, size=(K,N*N))-1 # +-1 with uniform probability\n", "Phi = randn(K,N*N) # Gaussian, zero mean, unit variance\n", "for j in range(M):\n", " A[:,j] = dot( Phi, h_k(PI[j]).reshape(-1) )\n", "from numpy.linalg import matrix_rank\n", "print matrix_rank(A), K #are we full rank?" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "400 400\n" ] } ], "prompt_number": 99 }, { "cell_type": "code", "collapsed": false, "input": [ "#now we measure the image in question\n", "def sample_image(image):\n", " b = zeros((K))\n", " for i in range(K):\n", " b[i] = dot( Phi[i], image.reshape(-1) )\n", " return b" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 100 }, { "cell_type": "code", "collapsed": false, "input": [ "plot(sample_image(make_h(40,.4,N,N) + make_h(6,-.51,N,N) + make_h(20,1.57,N,N)));\n", "plt.title(\"%d image measurements\"%K);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAZAAAAEKCAYAAAA8QgPpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text": [ "" ] } ], "prompt_number": 103 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Recast as Linear Programming\n", "\n", "The $L_1$ minimization subject to a linear constraint can be recast as the linear program:\n", "\n", "minimize $\\sum u_i$ subject to \n", "- $x-u \\leq 0$\n", "- $-x-u \\leq 0$\n", "- $Ax=b$\n", "\n", "This is a noiseless optimization, but the Dantzig selector can also be cast in a very similar linear programming form:\n", "\n", "minimize $\\sum u_i$ subject to \n", "- $x-u \\leq 0$\n", "- $-x-u \\leq 0$\n", "- $A^\\top (Ax-b)-\\epsilon \\leq 0$\n", "- $-A^\\top (Ax-b)-\\epsilon \\leq 0$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#now, let's try solving the noiseless case as a linear program.\n", "#to recast as LP, we use derivation of\n", "#http://users.ece.gatech.edu/~justin/l1magic/downloads/l1magic.pdf\n", "#guide to cvxopt.solvers.lp is available: http://cvxopt.org/userguide/coneprog.html#linear-programming\n", "from cvxopt import matrix as cvxmatrix\n", "from cvxopt import solvers\n", "def noiseless_hough_cs(b):\n", " #decision variable has length 2*M\n", " c = cvxmatrix(hstack((zeros(M),ones(M))))\n", " G = cvxmatrix( vstack((\n", " hstack(( diag( ones(M)), diag(-ones(M)) )),\n", " hstack(( diag(-ones(M)), diag(-ones(M)) ))\n", " ))) \n", " h = cvxmatrix(zeros(2*M))\n", " Acvx = cvxmatrix(hstack((A,zeros((K,M)) )) )\n", " return solvers.lp(c,G,h,Acvx, cvxmatrix(b) )\n", "\n", "def plot_sol(sol,image):\n", " plt.figure(figsize=(12,4))\n", " pi_sol = array(sol['x'][:M])[:,0]**2\n", " #thresh = .25*amax(pi_sol)\n", " #XX = where(pi_sol>thresh)[0]\n", " print shape(pi_sol)\n", " XX = pick_top_n(pi_sol,3)\n", " print XX\n", " thresh = pi_sol[XX[2]]\n", " plt.subplot(121)\n", " plot(pi_sol)\n", " plot([0,M],[thresh,thresh],linestyle='--',color='g')\n", " gca().set_title(\"Solution\")\n", " plt.subplot(122)\n", " imshow(image)\n", " gca().set_title(\"Input image and Reconstruction\")\n", " for PII in PI[XX]:\n", " endpts = h_endpts(PII[0],PII[1],N,N)\n", " plot(endpts[0],endpts[1],c='y',lw=2)\n", " gca().set_xlim([0,N])\n", " gca().set_ylim([0,N])\n", " #imshow( sum(dstack([h_k(PII) for PII in PI[XX]]),axis=-1) )\n", " #gca().set_title(\"Reconstruction\")" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 83 }, { "cell_type": "code", "collapsed": false, "input": [ "perfect_lines = make_h(40,.4,N,N) + make_h(6,-.51,N,N) + make_h(20,1.57,N,N)\n", "b_perfect = sample_image(perfect_lines)\n", "sol_perfect = noiseless_hough_cs(b_perfect)\n", "plot_sol(sol_perfect,perfect_lines)\n", "print \"%d pixels, %d measurements (%.3f), %d hough shape functions\"%(N*N,K,float(K)/N/N,M)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " pcost dcost gap pres dres k/t\n", " 0: 0.0000e+00 -0.0000e+00 2e+03 7e+01 1e-16 1e+00\n", " 1: 1.7017e+00 1.6998e+00 3e+02 1e+01 2e-16 2e-01" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " 2: 7.1883e+00 7.1854e+00 1e+02 5e+00 4e-16 7e-02" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " 3: 1.4151e+01 1.4149e+01 4e+01 2e+00 5e-16 2e-02" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " 4: 1.8481e+01 1.8480e+01 2e+01 6e-01 7e-16 7e-03" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " 5: 1.9902e+01 1.9901e+01 7e+00 3e-01 8e-16 3e-03" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " 6: 2.0463e+01 2.0463e+01 3e+00 1e-01 9e-16 1e-03" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " 7: 2.0685e+01 2.0685e+01 2e+00 6e-02 1e-15 6e-04" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " 8: 2.0825e+01 2.0825e+01 6e-01 2e-02 1e-15 2e-04" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " 9: 2.0872e+01 2.0872e+01 3e-01 1e-02 2e-15 1e-04" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "10: 2.0900e+01 2.0900e+01 1e-01 4e-03 3e-15 3e-05" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "11: 2.0907e+01 2.0907e+01 5e-02 2e-03 6e-15 2e-05" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "12: 2.0912e+01 2.0912e+01 1e-02 5e-04 7e-15 4e-06" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "13: 2.0914e+01 2.0914e+01 3e-03 1e-04 2e-14 1e-06" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "14: 2.0914e+01 2.0914e+01 1e-03 5e-05 3e-14 5e-07" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "15: 2.0914e+01 2.0914e+01 5e-04 2e-05 3e-14 2e-07" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "16: 2.0914e+01 2.0914e+01 2e-05 9e-07 5e-14 8e-09" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Terminated (singular KKT matrix)." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "(1506,)\n", "[518 933 34]\n", "2500 pixels, 400 measurements (0.160), 1506 hough shape functions" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAApsAAAEKCAYAAABdQJ4fAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nNf8f0vAyFD31mQgAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 85 }, { "cell_type": "code", "collapsed": false, "input": [ "perfect_lines = make_h(40,.4,N,N) + make_h(6,-.51,N,N) + make_h(20,1.57,N,N) #+ make_h(40,1.,N,N)\n", "perfect_lines += .3*255*randn(N,N) #add noise at .3 of signal\n", "b_perfect = sample_image(perfect_lines)\n", "sol_perfect = noiseless_hough_cs(b_perfect)\n", "plot_sol(sol_perfect,perfect_lines)\n", "print \"%d pixels, %d measurements (%.3f), %d hough shape functions\"%(N*N,K,float(K)/N/N,M)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " pcost dcost gap pres dres k/t\n", " 0: 0.0000e+00 -0.0000e+00 2e+03 7e+01 1e-16 1e+00\n", " 1: 4.2912e+00 4.2891e+00 3e+02 1e+01 3e-16 2e-01" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " 2: 1.9213e+01 1.9210e+01 1e+02 5e+00 4e-16 6e-02" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " 3: 3.0961e+01 3.0959e+01 5e+01 2e+00 7e-16 2e-02" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " 4: 3.4770e+01 3.4769e+01 3e+01 9e-01 7e-16 1e-02" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " 5: 3.6820e+01 3.6819e+01 1e+01 4e-01 8e-16 4e-03" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " 6: 3.7607e+01 3.7607e+01 5e+00 2e-01 8e-16 2e-03" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " 7: 3.8060e+01 3.8060e+01 2e+00 7e-02 1e-15 7e-04" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " 8: 3.8193e+01 3.8193e+01 1e+00 4e-02 1e-15 4e-04" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " 9: 3.8289e+01 3.8289e+01 3e-01 1e-02 2e-15 1e-04" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "10: 3.8319e+01 3.8319e+01 1e-01 4e-03 4e-15 4e-05" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "11: 3.8330e+01 3.8330e+01 3e-02 1e-03 6e-15 9e-06" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "12: 3.8333e+01 3.8333e+01 7e-03 3e-04 4e-14 2e-06" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "13: 3.8333e+01 3.8333e+01 3e-03 1e-04 1e-13 1e-06" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "14: 3.8334e+01 3.8334e+01 2e-03 6e-05 9e-14 6e-07" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "15: 3.8334e+01 3.8334e+01 4e-04 1e-05 1e-13 1e-07" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "16: 3.8334e+01 3.8334e+01 1e-05 4e-07 8e-14 4e-09" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Terminated (singular KKT matrix)." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "(1506,)\n", "[ 518 1471 908]\n", "2500 pixels, 400 measurements (0.160), 1506 hough shape functions" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAApsAAAEKCAYAAABdQJ4fAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEWLYEJLNECFChAgRIkSIEMOG/w/TPPSxR9eCYgAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 86 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Dantzig Selector\n", "\n", "Didn't have time to make sure this is right. Looks like redundant constraints..." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def dantzig_hough_cs(b,eps):\n", " #decision variable has length 2*M\n", " AA = dot(A.T,A); Ab = dot(A.T,b)\n", " c = cvxmatrix(hstack((zeros(M),ones(M))))\n", " G = cvxmatrix( vstack((\n", " hstack(( diag(ones(M)), -diag(ones(M)) )),\n", " hstack((-diag(ones(M)), -diag(ones(M)) )),\n", " hstack(( AA, zeros((M,M)) )),\n", " hstack((-AA, zeros((M,M)) ))\n", " ))) \n", " h = cvxmatrix( hstack((zeros(2*M), Ab+eps*ones(M),-Ab+eps*ones(M))) )\n", " print matrix_rank(asarray(G)), shape(asarray(G))\n", " return solvers.lp(c,G,h)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "perfect_lines = make_h(10,.5,N,N) + make_h(6,-.51,N,N) + make_h(20,1.57,N,N)\n", "b_perfect = sample_image(perfect_lines)\n", "sol_perfect = dantzig_hough_cs(b_perfect,0.)\n", "#plot_sol(sol_perfect,perfect_lines)\n", "print \"%d pixels, %d measurements (%.3f), %d hough shape functions\"%(N*N,K,float(K)/N/N,M)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "3092 (6184, 3092)\n" ] }, { "ename": "ValueError", "evalue": "Rank(A) < p or Rank([G; A]) < n", "output_type": "pyerr", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0mperfect_lines\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mmake_h\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m10\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m.5\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mN\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mN\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0mmake_h\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m6\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m.51\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mN\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mN\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0mmake_h\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m20\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m1.57\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mN\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mN\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0mb_perfect\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msample_image\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mperfect_lines\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0msol_perfect\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mdantzig_hough_cs\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mb_perfect\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m0.\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 4\u001b[0m \u001b[0;31m#plot_sol(sol_perfect,perfect_lines)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0;32mprint\u001b[0m \u001b[0;34m\"%d pixels, %d measurements (%.3f), %d hough shape functions\"\u001b[0m\u001b[0;34m%\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mN\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mN\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mK\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mfloat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mK\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0mN\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0mN\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mM\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m\u001b[0m in \u001b[0;36mdantzig_hough_cs\u001b[0;34m(b, eps)\u001b[0m\n\u001b[1;32m 11\u001b[0m \u001b[0mh\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mcvxmatrix\u001b[0m\u001b[0;34m(\u001b[0m \u001b[0mhstack\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mzeros\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mM\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mAb\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0meps\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mones\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mM\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0mAb\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0meps\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mones\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mM\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 12\u001b[0m \u001b[0;32mprint\u001b[0m \u001b[0mmatrix_rank\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0masarray\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mG\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mshape\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0masarray\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mG\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 13\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0msolvers\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mlp\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mc\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mG\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mh\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", "\u001b[0;32m/usr/local/lib/python2.7/site-packages/cvxopt/coneprog.pyc\u001b[0m in \u001b[0;36mlp\u001b[0;34m(c, G, h, A, b, solver, primalstart, dualstart)\u001b[0m\n\u001b[1;32m 3017\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3018\u001b[0m return conelp(c, G, h, {'l': m, 'q': [], 's': []}, A, b, primalstart,\n\u001b[0;32m-> 3019\u001b[0;31m dualstart)\n\u001b[0m\u001b[1;32m 3020\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3021\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m/usr/local/lib/python2.7/site-packages/cvxopt/coneprog.pyc\u001b[0m in \u001b[0;36mconelp\u001b[0;34m(c, G, h, dims, A, b, primalstart, dualstart, kktsolver, xnewcopy, xdot, xaxpy, xscal, ynewcopy, ydot, yaxpy, yscal)\u001b[0m\n\u001b[1;32m 685\u001b[0m \u001b[0;32mtry\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mf\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mkktsolver\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mW\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 686\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mArithmeticError\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 687\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Rank(A) < p or Rank([G; A]) < n\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 688\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 689\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mprimalstart\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mValueError\u001b[0m: Rank(A) < p or Rank([G; A]) < n" ] } ], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Using hand-drawn lines\n", "\n", "Need to get the noise model working before expecting this to work." ] }, { "cell_type": "code", "collapsed": false, "input": [ "b = sample_image(lines)\n", "sol = noiseless_hough_cs(b)\n", "plot_sol(sol,lines)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " pcost dcost gap pres dres k/t\n", " 0: 0.0000e+00 -0.0000e+00 8e+02 4e+01 1e-16 1e+00\n", " 1: 4.6093e+00 4.6083e+00 1e+02 6e+00 2e-16 1e-01" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " 2: 2.2520e+01 2.2518e+01 3e+01 2e+00 1e-15 4e-02" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " 3: 2.9479e+01 2.9478e+01 1e+01 6e-01 1e-15 1e-02" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " 4: 3.1583e+01 3.1583e+01 5e+00 3e-01 1e-15 5e-03" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " 5: 3.2633e+01 3.2632e+01 2e+00 8e-02 1e-15 2e-03" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " 6: 3.2909e+01 3.2909e+01 6e-01 3e-02 2e-15 5e-04" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " 7: 3.3002e+01 3.3002e+01 3e-01 2e-02 2e-15 3e-04" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " 8: 3.3054e+01 3.3054e+01 1e-01 6e-03 4e-15 9e-05" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " 9: 3.3076e+01 3.3076e+01 3e-02 2e-03 4e-15 3e-05" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "10: 3.3083e+01 3.3083e+01 1e-02 6e-04 1e-14 8e-06" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "11: 3.3085e+01 3.3085e+01 5e-03 2e-04 2e-14 4e-06" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "12: 3.3086e+01 3.3086e+01 1e-03 5e-05 3e-14 8e-07" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "13: 3.3086e+01 3.3086e+01 2e-04 9e-06 4e-14 1e-07" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "14: 3.3086e+01 3.3086e+01 7e-06 4e-07 9e-14 5e-09" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Terminated (singular KKT matrix)." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAsUAAAEKCAYAAAD6nSjkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nCoVCoVAoFEqVh4piCoVCoVAoFEqV5/8BO+82rQWpP9sAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 180 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Think about noise model!" ] }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }