{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "The Cross-Correlation package is available on github: https://github.com/keflavich/image_registration.\n", "\n", "The goal is to determine the offset between two images with primarily extended structure." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "import warnings\n", "import pylab as pl\n", "# import statement (with warnings silenced). \n", "with warnings.catch_warnings():\n", " warnings.filterwarnings(\"ignore\")\n", " import image_registration\n", "errmsgs = np.seterr(all='ignore') # silence warning messages about div-by-zero\n", "from turbustat.simulator.gen_field import make_extended" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# create a simulated image by randomly sampling from a power-law power spectrum with alpha=2\n", "im1 = image_registration.tests.make_extended(100)\n", "im1 = make_extended(100)\n", "# create an offset version corrupted by noise\n", "im2 = image_registration.tests.make_offset_extended(im1, 4.76666, -12.33333333333333333333333, noise=0.1)\n", "pl.subplot(121); img1=pl.imshow(im1, cmap='viridis', interpolation='nearest')\n", "pl.subplot(122); img2=pl.imshow(im2, cmap='viridis', interpolation='nearest')" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "# Run the registration methods 100 times each (and hide the output)\n", "offsets_n1,eoffsets_n1 = image_registration.tests.compare_methods(im1,im2,noise=0.1)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Standard Deviations: [0. 0. 0. 0. 0. 0. 0. 0.]\n", "Error Means: [0.00497512 0.00497512 0.01567028 0.01510755 0. 0.\n", " 0.00390625 0.00390625]\n", "emeans/stds: [inf inf inf inf nan nan inf inf]\n" ] }, { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot the simulation data\n", "# (note that the \"gaussian\" approach is hidden; it was problematic)\n", "image_registration.tests.plot_compare_methods(offsets_n1,eoffsets_n1,dx=4.76666666,dy=-12.3333333333)\n", "pl.figure(2); ax=pl.axis([4.7,4.85,-12.23,-12.43])\n", "pl.figure(1); ax=pl.axis([4.7,4.85,-12.23,-12.43])\n", "# the outputs below show the x,y standard deviations (i.e., the \"simulated error\"), \n", "# the means of the reported errors (i.e., the measured errors)\n", "# and the ratio of the measured error to the simulated error - should be ~1 if correct\n", "# the black X is the correct answer" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Standard Deviations: [0. 0. 0. 0. 0. 0. 0. 0.]\n", "Error Means: [0.00497512 0.00497512 0.01567028 0.01510755 0. 0.\n", " 0.00390625 0.00390625]\n", "emeans/stds: [inf inf inf inf nan nan inf inf]\n" ] }, { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot the simulation data but zoomed in more (same as above otherwise)\n", "# (note that the \"gaussian\" approach is hidden; it was problematic)\n", "image_registration.tests.plot_compare_methods(offsets_n1,eoffsets_n1,dx=4.76666666,dy=-12.3333333333)\n", "pl.figure(2); ax=pl.axis([4.74,4.79,-12.32,-12.35])\n", "pl.figure(1); ax=pl.axis([4.74,4.79,-12.32,-12.35])\n", "# the outputs below show the x,y standard deviations (i.e., the \"simulated error\"), \n", "# the means of the reported errors (i.e., the measured errors)\n", "# and the ratio of the measured error to the simulated error - should be ~1 if correct\n", "# the black X is the correct answer" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So how do these methods work?\n", "They all use the peak of the cross-correlation, which is most efficiently done via fourier transforms,\n", "to determine the offset.\n", "\n", "The \"cross_correlation_shift\" function selects the cross-correlation peak, then finds the sub-pixel shift using\n", "a second order Taylor expansion.\n", "\n", "The \"register_images\" function uses some linear algebra + fourier space tricks to upsample the image to determine \n", "sub-pixel shifts.\n", "\n", "The \"chi2_shift\" function uses the same trick, but \"automatically\" determines the upsampling factor based on the \n", "$\\Delta \\chi^2$ values. The peak is identified, as is a region within $1\\sigma$ (for 2 fitted parameters, \n", "$\\Delta \\chi^2<2.3$ , then the original image is magnified to include only the $1\\sigma$ region. \n", "The errors are determined by marginalizing over the other fitted parameter, BUT it is possible to return the full\n", "$\\Delta \\chi^2$ image if you are concerned with correlation." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.12" } }, "nbformat": 4, "nbformat_minor": 4 }