{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/alex/anaconda2/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", "/Users/alex/anaconda2/lib/python2.7/site-packages/skimage/util/dtype.py:110: UserWarning: Possible precision loss when converting from float64 to uint16\n", " \"%s to %s\" % (dtypeobj_in, dtypeobj))\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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nq+A0C7LhSP6vEc7IzgrD4Sib+WHMZ2dnxTnlfRiGEEw50sRQ0R5GdpWiZWjQ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\nJ8UHq3piatENfbXhctZB36k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G6r2WWYM3nCWv0gECr1oQYEgvR6QYeuaS9Rgc/c7OTgnQ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\n+uijj1pCxOvXr1umGv0chqFl7UA/jG8mQ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SPv9KpQKnMGyQACvjJ69+8JOAxQoDdrEnd3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\n9li/DxmAZ2L9fr+MdW1tbabe4NFTFiTpMvTEc7VBbW6MgMGIv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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# %load red_Cell.py\n", "import openpiv.tools\n", "import openpiv.process\n", "import openpiv.scaling\n", "import numpy as np\n", "from skimage import data, io, filters\n", "import matplotlib.pyplot as plt\n", "from scipy import ndimage\n", "from skimage import feature\n", "from PIL import Image\n", "from pylab import *\n", "%matplotlib inline\n", "\n", "from skimage.color import rgb2gray\n", "from skimage import img_as_uint\n", "\n", "frame_a = io.imread('Y4-S3_Camera000398.tif') \n", "frame_b = io.imread('Y4-S3_Camera000399.tif')\n", "\n", "\n", "# for whatever reason the shape of frame_a is (3, 284, 256)\n", "# so we first tranpose to the RGB image and then convert to the gray scale\n", "\n", "frame_a = img_as_uint(rgb2gray(frame_a))\n", "frame_b = img_as_uint(rgb2gray(frame_b))\n", "\n", "\n", "#matshow ( frame_a, cmap=cm.Greys_r )\n", "#mage = data.coins() # or any NumPy array!\n", "io.imshow(np.c_[frame_a,frame_b])\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#u, v, sig2noise = openpiv.process.extended_search_area_piv( frame_a, frame_b, window_size=24, overlap=12, dt=0.02, search_area_size=64, sig2noise_method='peak2peak' )\n", "u, v, sig2noise = openpiv.pyprocess.piv( frame_a, frame_b, window_size=32, overlap=8, dt=.1, sig2noise_method='peak2peak' )\n", "x, y = openpiv.process.get_coordinates( image_size=frame_a.shape, window_size=32, overlap=8 )" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "dtype('uint16')" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "frame_a.dtype" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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VK6nh9Pz58+WWZhRu3Lgh5bOfPn3aoMc+f/683t1C/fr1DXr8/LJ3717CyzpG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\nQCAQ1GP+HxmxtBu1L+tmAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "u, v, mask = openpiv.validation.sig2noise_val( u, v, sig2noise, threshold = 1.3 )\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", "quiver(x,y,u,v)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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SEoCdO02r4LLMrVub1fD227x2wcK5iazr5Pfu5frcsbHA6dPcaFU3RMDEiXyB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\nWhSYPdt8XmlEBPD22wZySJ0IDWVHX6/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "openpiv.tools.save(x, y, u, v, mask, 'Y4-S3_Camera000398.txt' )\n", "openpiv.tools.display_vector_field('Y4-S3_Camera000398.txt', scale=3, width=0.0125)\n", "# frame_vectors = io.imshow(vectors)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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c3r3qZfB4REqXZi55pSkOk/HMMzwXPqXelDNzpmgrZGMTGUkZunTJ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\nNgAYCUBzeRqDK+iqwJRd+Osvpg8+cIDnYvt2Wq8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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "u, v, sig2noise = openpiv.process.extended_search_area_piv(frame_a.astype(np.int32), frame_b.astype(np.int32), window_size=32, overlap=8, dt=0.02, search_area_size=64, sig2noise_method='peak2peak' )\n", "x, y = openpiv.process.get_coordinates( image_size=frame_a.shape, window_size=32, overlap=8 )\n", "u, v, mask = openpiv.validation.sig2noise_val( u, v, sig2noise, threshold = 1.3 )\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, 'Y4-S3_Camera000398.txt' )\n", "openpiv.tools.display_vector_field('Y4-S3_Camera000398.txt', scale=10, width=0.005)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/alex/anaconda2/lib/python2.7/site-packages/ipykernel/__main__.py:1: RuntimeWarning: deprecated\n", " if __name__ == '__main__':\n", "Computing the displacements : 0% [ ] ETA: --:--:-- 0.00 B/s\r", "/Users/alex/anaconda2/lib/python2.7/site-packages/ipykernel/__main__.py:1: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n", " if __name__ == '__main__':\n", "Computing the displacements : 20% [--- ] ETA: 0:00:00 144.56 B/s\r" ] }, { "name": "stdout", "output_type": "stream", "text": [ " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "----------------------------------------------------------\n", "|-----> || The Open Source P article |\n", "| Open || I mage |\n", "| PIV || V elocimetry Toolbox |\n", "| <-----|| www.openpiv.net version 1.0 |\n", "----------------------------------------------------------\n", " \n", "Algorithm : WiDIM\n", " \n", "Parameters \n", "-----------------------------------\n", " Size of image | [284, 256]\n", " total number of iterations | 4\n", " overlap ratio | 0.25\n", " coarse factor | 2\n", " time step | 0.019999999553\n", " validation method | mean_velocity\n", " number of validation iterations | 2\n", " subpixel_method | gaussian\n", " Nrow | [ 5 11 23 23]\n", " Ncol | [ 5 10 21 21]\n", " Window sizes | [64 32 16 16]\n", "-----------------------------------\n", "| STARTING |\n", "-----------------------------------\n", " \n", "//////////////////////////////////////////////////////////////////\n", " \n", "ITERATION # 0\n", " \n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Computing the displacements : 100% [----------------] Time: 0:00:00 155.21 B/s\n", "Performing interpolations : 100% [------------------] Time: 0:00:00 29.51 kB/s\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "..[DONE]\n", " --residual : 1.00000001255\n", "no validation : trusting 1st iteration\n", "going to next iteration.. \n", "performing interpolation of the displacement field\n", " \n", "..[DONE] -----> going to iteration 1\n", " \n", " \n", "//////////////////////////////////////////////////////////////////\n", " \n", "ITERATION # 1\n", " \n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Computing the displacements : 100% [----------------] Time: 0:00:00 124.79 B/s\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "..[DONE]\n", " --residual : 0.227272730125\n", "Starting validation..\n", "Validation, iteration number 0\n", " \n", "Validation, iteration number 1\n", " \n", "..[DONE]\n", " \n", "going to next iteration.. \n", "performing interpolation of the displacement field\n", " \n", "..[DONE] -----> going to iteration 2\n", " \n", " \n", "//////////////////////////////////////////////////////////////////\n", " \n", "ITERATION # 2\n", " \n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Validation : 100% [---------------------------------] Time: 0:00:00 2.62 kB/s\n", "Performing interpolations : 100% [------------------] Time: 0:00:00 3.37 kB/s\n", "Computing the displacements : 100% [----------------] Time: 0:00:00 108.23 B/s\n", "Validation : 100% [---------------------------------] Time: 0:00:00 1.03 kB/s\n", "Performing interpolations : 100% [------------------] Time: 0:00:00 70.78 kB/s\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "..[DONE]\n", " --residual : 0.642911634961\n", "Starting validation..\n", "Validation, iteration number 0\n", " \n", "Validation, iteration number 1\n", " \n", "..[DONE]\n", " \n", "going to next iteration.. \n", "performing interpolation of the displacement field\n", " \n", "..[DONE] -----> going to iteration 3\n", " \n", " \n", "//////////////////////////////////////////////////////////////////\n", " \n", "ITERATION # 3\n", " \n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Computing the displacements : 100% [----------------] Time: 0:00:00 101.59 B/s\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "..[DONE]\n", " --residual : 0.632014827589\n", "Starting validation..\n", "Validation, iteration number 0\n", " \n", "Validation, iteration number 1\n", " \n", "..[DONE]\n", " \n", "//////////////////////////////////////////////////////////////////\n", "end of iterative process.. Re-arranging vector fields..\n", "...[DONE]\n", "-------------------------------------------------------------\n", "[DONE] ..after 24.9742519855 seconds \n", "-------------------------------------------------------------\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Validation : 39% [------------ ] ETA: 0:00:00 1.52 kB/s\r", "Validation : 43% [-------------- ] ETA: 0:00:00 1.50 kB/s\r", "Validation : 47% [--------------- ] ETA: 0:00:00 1.50 kB/s\r", "Validation : 52% [----------------- ] ETA: 0:00:00 1.53 kB/s\r", "Validation : 56% [------------------ ] ETA: 0:00:00 1.52 kB/s\r", "Validation : 60% [------------------- ] ETA: 0:00:00 1.52 kB/s\r", "Validation : 65% [--------------------- ] ETA: 0:00:00 1.54 kB/s\r", "Validation : 69% [---------------------- ] ETA: 0:00:00 1.53 kB/s\r", "Validation : 73% [------------------------ ] ETA: 0:00:00 1.52 kB/s\r", "Validation : 78% [------------------------- ] ETA: 0:00:00 1.53 kB/s\r", "Validation : 82% [--------------------------- ] ETA: 0:00:00 1.53 kB/s\r", "Validation : 86% [---------------------------- ] ETA: 0:00:00 1.52 kB/s\r", "Validation : 91% [------------------------------ ] ETA: 0:00:00 1.53 kB/s\r", "Validation : 95% [------------------------------- ] ETA: 0:00:00 1.52 kB/s\r", "Validation : 100% [---------------------------------] Time: 0:00:00 1.53 kB/s\r\n" ] } ], "source": [ "x,y,u,v, mask = openpiv.process.WiDIM( frame_a.astype(np.int32), frame_b.astype(np.int32), ones_like(frame_a).astype(np.int32), min_window_size=16, overlap_ratio=0.25, coarse_factor=2, dt=0.02, validation_method='mean_velocity', trust_1st_iter=1, validation_iter=2, tolerance=0.7, nb_iter_max=4, sig2noise_method='peak2peak')" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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dd/OYzjuPs6Cvvire9zszk8cPUHm8+y6vy9tvcw0hN5efJSQULn/ggOtnX64c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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "openpiv.tools.save(x, y, u, v, zeros_like(u), 'Y4-S3_Camera000398.txt' )\n", "openpiv.tools.display_vector_field('Y4-S3_Camera000398.txt', scale=3000, width=0.005)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "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": "2.7.11" } }, "nbformat": 4, "nbformat_minor": 0 }