{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# %load tutorial-part2.py\n", "import sys\n", "sys.path.append('/Users/alex/Documents/OpenPIV/alexlib/openpiv-python')" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/alex/anaconda/lib/python2.7/site-packages/matplotlib/font_manager.py:273: UserWarning: Matplotlib is building the font cache using fc-list. This may take a moment.\n", " warnings.warn('Matplotlib is building the font cache using fc-list. This may take a moment.')\n" ] } ], "source": [ "import openpiv.tools\n", "import openpiv.process\n", "import openpiv.scaling\n", "import numpy as np\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "((790, 230), (790, 230))" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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hvKnIYn7/nve8BwAEDkYiEYyMjAhEbDQauHTpkhgdc3Kq1va76FDU8h7ZVTXd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\nX+rkyZOmWul26czPz5vn5949z9P58+ft3lG+mJqaslIXpH9kY+D2Xm0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MGHVlv1mXmySj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Hq9deBf2sFrfk/S773G71clffjKn9d1YRmxvrlczsJiBLcJpSHJA/QAXNGPyqFnI7pNEZKM+uda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\nby9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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "frame_a = openpiv.tools.imread( 'test001.png' )\n", "frame_b = openpiv.tools.imread( 'test002.png' )\n", "import pylab\n", "pylab.imshow(np.c_[frame_a,np.ones((frame_a.shape[0],20)),frame_b],cmap=pylab.cm.gray)\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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8eZzsgQOt/eknSvTvv1vbvTsl2q5aZe1rr3Gyo6OtffhhTrbXa+0tt3CyrbX2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\np3HtHn9KikzDYkhNlWlyDGl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au8DpB6aUUkop5/nV3GetfdVaW99aW85aW9Nae84W/U6d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\n16yRgmcID5dTwBi2bZPue4Zdu2SKF0NsrHTJMiQ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 455 ms, sys: 9.65 ms, total: 465 ms\n", "Wall time: 477 ms\n" ] } ], "source": [ "%%time\n", "u, v, sig2noise = openpiv.process.extended_search_area_piv( frame_a.astype(np.int32), frame_b.astype(np.int32), \n", " window_size=24, overlap=12, dt=0.02, \n", " search_area_size=64, sig2noise_method='peak2peak' )\n", "x, y = openpiv.process.get_coordinates( image_size=frame_a.shape, window_size=24, overlap=12 )\n", "u, v, mask = openpiv.validation.sig2noise_val( u, v, sig2noise, threshold = 2.5 )\n", "u, v = openpiv.filters.replace_outliers( u, v, method='localmean', max_iter=10, kernel_size=2)\n", "x, y, u, v = openpiv.scaling.uniform(x, y, u, v, scaling_factor = 96.52 )\n", "openpiv.tools.save(x, y, u, v, mask, 'exp1_001_extended.txt' )\n", "openpiv.tools.display_vector_field('exp1_001_extended.txt', scale=100, width=0.0025)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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+vz0et2ABKzpSGD7cXqgjidhYHoiWRREfafGXXr1IvhWO9aEUkFsSjdyaZHG2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N1w2JgOHYw59VR529Z+9+7GbN+uY99L7NpFZbqFC3/vKzl5du3SsbtqlTGBgDGPPqpjv3dvY0aP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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 907 ms, sys: 14.6 ms, total: 922 ms\n", "Wall time: 926 ms\n" ] } ], "source": [ "%%time\n", "u, v= openpiv.pyprocess.piv( frame_a, frame_b, corr_method='fft', window_size=24, overlap=12, dt=0.02, sig2noise_method='peak2peak' )\n", "x, y = openpiv.pyprocess.get_coordinates( image_size=frame_a.shape, window_size=24, overlap=12 )\n", "u, v, mask = openpiv.validation.sig2noise_val( u, v, sig2noise, threshold = 2.5 )\n", "u, v = openpiv.filters.replace_outliers( u, v, method='localmean', max_iter=10, kernel_size=2.5)\n", "x, y, u, v = openpiv.scaling.uniform(x, y, u, v, scaling_factor = 96.52 )\n", "openpiv.tools.save(x, y, u, v, mask, 'exp1_001_fft.txt' )\n", "openpiv.tools.display_vector_field('exp1_001_fft.txt', scale=10, width=0.0025)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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+vz0et2ABKzpSGD7cXqgjidhYHoiWRREfafGXXr1IvhWO9aEUkFsSjdyaZHG2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N1w2JgOHYw59VR529Z+9+7GbN+uY99L7NpFZbqFC3/vKzl5du3SsbtqlTGBgDGPPqpjv3dvY0aP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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 3.98 s, sys: 30.1 ms, total: 4.01 s\n", "Wall time: 4.06 s\n" ] } ], "source": [ "%%time\n", "u, v= openpiv.pyprocess.piv( frame_a, frame_b, corr_method='direct', window_size=24, overlap=12, dt=0.02, sig2noise_method='peak2peak' )\n", "x, y = openpiv.pyprocess.get_coordinates( image_size=frame_a.shape, window_size=24, overlap=12 )\n", "u, v, mask = openpiv.validation.sig2noise_val( u, v, sig2noise, threshold = 2.5 )\n", "u, v = openpiv.filters.replace_outliers( u, v, method='localmean', max_iter=10, kernel_size=2.5)\n", "x, y, u, v = openpiv.scaling.uniform(x, y, u, v, scaling_factor = 96.52 )\n", "openpiv.tools.save(x, y, u, v, mask, 'exp1_001_direct.txt' )\n", "openpiv.tools.display_vector_field('exp1_001_direct.txt', scale=10, width=0.0025)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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MlM3tt8+OnuUeJkB32RURkXJRAiNlc/DBB3PEEZPJvgrJ7AyOOGKyrkASEZGyUQIjZRXu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\n7OtRne8ROu3+LFb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ylLu/HZvnFMIppRsInX4XAE3AJ2N1pgHLCFcf3ZmnbRGpIDqFJJLX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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a = np.loadtxt('exp1_001_extended.txt')\n", "b = np.loadtxt('exp1_001_fft.txt')\n", "c = np.loadtxt('exp1_001_direct.txt')\n", "\n", "fig,ax = pylab.subplots(1,2)\n", "ax[0].scatter(a[:,2]-b[:,2],a[:,3]-b[:,3])\n", "ax[1].scatter(b[:,2]-c[:,2],b[:,3]-c[:,3])\n", "#ax[1].set_aspect(1)\n", "#ax[1].set_xticks([-.2,.2])\n", "#ax[1].set_yticks([-.2,.2])\n", "ax[0].set_xlabel('pixel/dt')\n", "ax[1].set_xlabel('pixel/dt')\n", "ax[0].set_ylabel('differences');\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python [default]", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.12" } }, "nbformat": 4, "nbformat_minor": 1 }