{ "metadata": { "name": "", "signature": "sha256:0f9b3b86e1aa51acb08c25d8b3e57eb37bc9fdfebd3d9340493d9bd615273679" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "from pylab import *\n", "from numpy import *\n", "from numpy.random import poisson, normal" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "xmin = 0\n", "xmax = 10\n", "xlen = xmax-xmin\n", "x = linspace(xmin, xmax, 200)\n", "signal = zeros_like(x)\n", "I = (x>(xmin+xlen*0.4)) & (x<(xmin+xlen*0.6))\n", "signal[I] = x[I]\n", "plot(x, signal)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 2, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy.stats import norm\n", "rv = norm(loc=xlen/2, scale=0.2)\n", "psf = rv.pdf(x)\n", "psf /= sum(psf)\n", "plot(x, psf)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 3, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "csignal = convolve(psf, signal, mode=\"same\")\n", "plot(x, csignal)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 4, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "from numpy import fft as F\n", "from numpy.fft import fft, ifft, ifftshift\n", "H = fft(psf)\n", "S = fft(csignal)\n", "DS = ifftshift(ifft(S/H))\n", "plot(x, DS)\n", "plot(x, signal)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "/usr/local/lib/python3.4/dist-packages/numpy/core/numeric.py:462: ComplexWarning: Casting complex values to real discards the imaginary part\n", " return array(a, dtype, copy=False, order=order)\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 5, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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X8XGjysni4XaN1qlKnpM8Ke/qatOb6Oiw+SIl79o127YBRx1ltocNvC5ZYq6br4dTiNix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\nC4uu8cG1a6qrjZLkPRQfyVPEjw8XXGAtubPPBr7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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "semilogy(x, abs(fftshift(H)))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 6, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "semilogy(x, abs(fftshift(S/H)))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 7, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "semilogy(x, abs(fftshift(fft(signal))))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 8, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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4w6OPyhLpH/zA3f7II8CFF8oGxT//eWX7sWOyAu+++4A/+zP3GOvXS82X173O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\nXUrpdLXHfMd37ZIg0PUdzXu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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "# naive regularization\n", "DS = ifftshift(ifft(S/(H+1e-11)))\n", "plot(x, DS)\n", "plot(x, signal)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 9, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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L0WlknpOtmSvMJSqFuRRdNsxraiCdhubNS92j0smOzFVmkagU5lJ02TDPjsqtCV85NplI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\ni9Gj4bTTwvO+Zcu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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "# Wiener deconvolution\n", "lamb = 1e-12\n", "WDS = ifftshift(ifft(S*conj(H)/(H*conj(H) + lamb**2)))\n", "plot(x, WDS)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 11, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "noise = normal(loc=0.0, scale=0.1, size=len(x))\n", "ncsignal = csignal+noise\n", "NS = fft(ncsignal)\n", "plot(x, ncsignal)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 12, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "# naive regularization\n", "DS = ifftshift(ifft(NS/(H+.2)))\n", "plot(x, DS)\n", "plot(x, signal)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 13, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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btgXOXVZpZO0uFnNfwmGzBOoABUjMjQ5GUndkQHd/urycCnitWOEt5h9+SHej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\n0ud96SVvMd+6lWYxu/nm0Nv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"text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "# Wiener deconvolution\n", "lamb = 0.005\n", "WDS = ifftshift(ifft(NS*conj(H)/(H*conj(H) + lamb)))\n", "plot(x, WDS)\n", "plot(x, signal)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 14, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ "def deconvolve_iterative(data, kernel, niter):\n", " # http://dx.doi.org/10.1086/111605\n", " from scipy.signal import convolve\n", " P = kernel\n", " I = data\n", " O = convolve(I, P, mode=\"same\")\n", " eps = 1e-10 # this is to avoid division by zero\n", " for i in range(niter):\n", " denom = convolve(O, P, mode=\"same\") + eps\n", " fact = convolve(I/denom, P[::-1], mode=\"same\")\n", " O = fact*O\n", " O[O<0] = 0\n", " return O" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 15 }, { "cell_type": "code", "collapsed": false, "input": [ "LRDS = deconvolve_iterative(ncsignal, psf, 8)\n", "plot(x, LRDS)\n", "plot(x, signal)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "/usr/local/lib/python3.4/dist-packages/numpy/core/fromnumeric.py:2507: VisibleDeprecationWarning: `rank` is deprecated; use the `ndim` attribute or function instead. To find the rank of a matrix see `numpy.linalg.matrix_rank`.\n", " VisibleDeprecationWarning)\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 16, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "# more realistic example:\n", "xmin = 0\n", "xmax = 10\n", "xlen = xmax-xmin\n", "x = linspace(xmin, xmax, 200)\n", "signal = exp(-(x-xmax*0.4)**2/(0.2))*20\n", "signal += exp(-(x-xmax*0.55)**2/(0.4))*30\n", "plot(x, signal)\n", "\n", "#plot(x, psf)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 17, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "rv = norm(loc=xlen/2, scale=0.5)\n", "psf = rv.pdf(x)\n", "psf /= sum(psf)\n", "csignal = convolve(psf, signal, mode=\"same\")\n", "plot(x, csignal)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 18, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": [ "from numpy.random import poisson\n", "seed(12)\n", "ncsignal = poisson(csignal)\n", "plot(x, ncsignal)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 19, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 19 }, { "cell_type": "code", "collapsed": false, "input": [ "H = fft(psf)\n", "NS = fft(ncsignal)\n", "lamb = 0.001\n", "WDS = ifftshift(ifft(NS*conj(H)/(H*conj(H) + lamb)))\n", "plot(x, WDS)\n", "plot(x, signal)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 22, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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gXngB7rsP2rWDX/wCli2DgoLo3HvNrjX06tCLti3aVh07csQF0kjXkvdnsFzA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\nl35IasvUsO4T65Z8ZqYL3sF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"text": [ "" ] } ], "prompt_number": 22 }, { "cell_type": "code", "collapsed": false, "input": [ "LRDS = deconvolve_iterative(ncsignal, psf, 10)\n", "plot(x, LRDS)\n", "plot(x, signal)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 29, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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Ewbqhc3nwg3NUFPCnJf44cG2fbd8D3jDGTAPecj9XUcZzUbOzE7ZvtxahCodg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\nbfDwwzBnDixebK1SmJQEXaa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