{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Basics of Particle Image Velocimetry (PIV) \n", "Using open source PIV software, OpenPIV (http://www.openpiv.net) written with the great help of Python, Numpy, Scipy (http://www.scipy.org) and runs online thanks to the great MyBinder project." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## What is it about? Particle Image Velocimetry (PIV)\n", "From Wikipedia: \"Particle image velocimetry (PIV) is an optical method of flow visualization used in education and research. It is used to obtain instantaneous velocity measurements and related properties in fluids. The fluid is seeded with tracer particles which, for sufficiently small particles, are assumed to faithfully follow the flow dynamics (the degree to which the particles faithfully follow the flow is represented by the Stokes number). The fluid with entrained particles is illuminated so that particles are visible. The motion of the seeding particles is used to calculate speed and direction (the velocity field) of the flow being studied.\"\n", " read more on http://en.wikipedia.org/wiki/Particle_image_velocimetry\n", " \n", "Particle Image Velocimetry (PIV) is a non-intrusive state-of-the-art technique for flow measurements (e.g.: Raffel et al., 2007, Adrian, 1991). The PIV technique is based on image recording of the illuminated flow field using seeding particles. The technique is based on illuminating the particles in a plane by forming a coherent light sheet. The light scattered by the particles is recorded on a sequence of image frames. The displacement of the particle images between two consecutive light pulses is determined through evaluation of the PIV recordings and by applying a spatial cross-correlation function as implemented by the OpenPIV resulting with a two dimensional two component velocity field. \n", "In practice, small tracer particles, common sized are in the order of 10-100 microns, are introduced to the flow. The flow is illuminated twice by means of a laser light sheet forming a plane where the camera is focused on. The time delay between the pulses depends on the mean velocity and the image magnification. It is assumed that the tracer particles follow the local flow velocity between the two consecutive illuminations. The light scattered from the tracer particles is imaged via an optical lens on a digital camera. \n", "The images, acquired as pairs correspond to the two laser pulses, are than correlated using a cross-correlation function and image processing tools in order to provide the velocity field. \n", "The effectiveness of the measurement results strongly depends on a large number of parameters such as particles concentration, size distribution and shape, illumination source, recording device, and synchronization between the illumination, acquisition and recording systems (Huang et al., 1997). An appropriate choice of the different parameters of the cross correlation analysis (e.g., interrogation area, time between pulses, scaling) will influence the results accuracy. \n", " read more about PIV in the following chapters: Gurka and Kit, in Handbook of Environmental Fluid Mechanics, CRC Press, 2014 http://www.crcnetbase.com/doi/abs/10.1201/b13691-39\n", " or Taylor, Gurka and Liberzon \"Particle Image Velocimetry for Biological Mechanics\" in the Handbook of Imaging in Biological Mechanics, CRC Press, 2015, http://www.crcpress.com/product/isbn/9781466588134\n", "\n", "\n", "### Open source software to learn the basics\n", " \n", "In principle velocimetry is a method to find out the velocity field of the moving fluid. 'Particle' image velocimetry is the way to get velocity field from images of small particles, called tracers. The basic principle is to use two images of the same particles with a small time delay between them. For that purpose, typically two laser shots are created and two images are taken. \n", "\n", "This tutorial will follow the most simple analysis path from the two images to the velocity field and some post-analysis. We will use one of many open source packages, the open source particle image velocimetry http://www.openpiv.net" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "# Let's take two images\n", "# import the standard numerical and plotting packages\n", "\n", "from pylab import *\n", "from skimage.io import imread" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have downloaded some sample images from PIV challenge, \n", "see http://www.pivchallenge.org/pub/#e or another standard PIV images project: http://www.piv.jp/down/image05e.html" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false }, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# load the images: \n", "a = imread('B005_1.tif')\n", "b = imread('B005_2.tif')\n", "\n", "figure(figsize=(12,10))\n", "subplot(1,2,1)\n", "imshow(a,cmap=cm.gray)\n", "subplot(1,2,2)\n", "imshow(b,cmap=cm.gray)\n", "# imshow(c_[a,b],cmap=cm.gray)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The two images showing the positions of the particles at two time steps. We can analyse small regions of interest, called interrogation windows.\n", "typically we can start with the size of 32 x 32 pixels or smaller. Until recently, the fast algorithms used powers of 2, so the historical sizes are \n", "always powers of 2: 8, 16, 32, 64, 128, ...\n", "\n", "let's take the first top left windows from each image" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ia = a[:32,:32].copy()\n", "ib = b[:32,:32].copy()\n", "\n", "# just for the test, you can try also a \"known\" result\n", "# ib = roll(ia,2,axis=1).copy()\n", "\n", "\n", "figure()\n", "subplot(1,2,1)\n", "imshow(ia,cmap=cm.gray)\n", "subplot(1,2,2)\n", "imshow(ib,cmap=cm.gray)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that the bright pixels moved between the two frames.\n", "we can find out the distance that all the particles moved between frame A and frame B using \n", "the principles of least squares or correlations, but let's first try to get it manually\n", "if we shift the window IA by some pixels to the right and subtract from IB the shifted IA, \n", "we shall see how good the shift predicts the real displacement between the two \n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5,1,'Without shift')" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imshow(ib-ia,cmap=cm.gray)\n", "title('Without shift')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5,1,'Difference when IA has been shifted by 1 pixel')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imshow(ib-roll(ia,1,axis=0),cmap=cm.gray)\n", "title('Difference when IA has been shifted by 1 pixel')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's try to find the best shift algorithmically: shift and calculated the sum of squared differences the minimum is the best shift" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "def match_template(img, template,maxroll=8):\n", " mindist = float('inf')\n", " idx = (-1,-1)\n", " for y in range(maxroll):\n", " for x in range(maxroll):\n", " #calculate Euclidean distance\n", " dist = sqrt(sum(square(template - roll(roll(img,x,axis=0),y,axis=1))))\n", " if dist < mindist:\n", " mindist = dist\n", " idx = (x,y)\n", " \n", " return [mindist, idx]" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "[0.0, (2, 0)]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# let's test that it works indeed by manually rolling (shifting circurlarly) the same image\n", "match_template(ia,roll(ia,2,axis=0))" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Minimal distance = 171.659547\n", "idx = 1, 0\n" ] } ], "source": [ "# indeed, when we find the correct shift, we got zero distance. it's not so in real images:\n", "mindist, idx = match_template(ib,ia)\n", "print('Minimal distance = %f' % mindist)\n", "print('idx = %d, %d' % idx)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can draw this as a vector of velocity: $u = \\Delta X$ pixels/$\\Delta t$, $v =\\Delta Y$ pixels/$\\delta$ t where $\\delta$ t is the time interval (delay) between the two images (or two laser pulses)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize=(12,10))\n", "subplot(1,2,1)\n", "imshow(roll(roll(ia,idx[0],axis=0),idx[1],axis=1),cmap=cm.gray)\n", "subplot(1,2,2)\n", "imshow(ib,cmap=cm.gray)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Well, maybe it's not the best match, but it is already better than nothing. \n", "the problem now is that manually shifting each image and repeating the loop many times is impractical\n", "the same principle of finding the right shift one can get by using a different template matching \n", "principle, based on the property called cross-correlation (cross because we use two different images)\n", "in short this is an efficient computational algorithm to find out the right shift. \n", "you can see more details here: http://paulbourke.net/miscellaneous/correlate/" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Size of the correlation map 63 x 63\n" ] } ], "source": [ "from scipy.signal import correlate2d\n", "c = correlate2d(ia-ia.mean(),ib-ib.mean())\n", "# not it's twice bigger than the original windows, as we can shift ia by maximum it's size horizontally and vertically\n", "print('Size of the correlation map %d x %d' % c.shape)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5,0.92,'Correlation map - peak is the most probable shift')" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# let's see how the correlation map looks like:\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "fig = plt.figure()\n", "ax = fig.add_subplot(111, projection='3d')\n", "cx,cy = meshgrid(range(c.shape[0]), range(c.shape[1]))\n", "\n", "ax.plot_surface(cx,cy,c,cmap=cm.jet, linewidth=0.2)\n", "title('Correlation map - peak is the most probable shift')" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false }, "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "i = 32, j= 30\n" ] }, { "data": { "text/plain": [ "[]" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# let's see the same correlation map, from above\n", "imshow(c, cmap='gray')\n", "\n", "i,j = np.unravel_index(c.argmax(), c.shape)\n", "\n", "print('i = {}, j= {}'.format(i,j))\n", "\n", "plot(j,i,'ro')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "maybe this is confusing, but the image of the correlation map shows the same result - we need to shift the window A the the best possible correlation between the two windows. if there would be no shift, the result would be 31,31 - the center of symmetry.\n", "\n", "\n", "We can get the first velocity field by repeating this analysis for all small windows let's take 32 x 32 pixels windows from each image and do the loop\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "\n", "iw = 32\n", "\n", "x,y,u,v = [],[],[],[]\n", "for k in range(0,a.shape[0],iw):\n", " for m in range(0,a.shape[1],iw):\n", " ia = a[k:k+iw,m:m+iw]\n", " ib = b[k:k+iw,m:m+iw]\n", " c = correlate2d(ia-ia.mean(),ib-ib.mean())\n", " i,j = np.unravel_index(c.argmax(), c.shape)\n", " x.append(k-iw/2.)\n", " y.append(m-iw/2.)\n", " u.append(i - iw/2.-1)\n", " v.append(j - iw/2.-1)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize=(12,10))\n", "M = sqrt(pow(array(u), 2) + pow(array(v), 2))\n", "quiver(x,y,u,v,M)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now you can take our online IPython notebook and process any pairs of images yourself, on the cloud, http://github.com/openpiv/openpiv-python-example\n", " \n", "or download the OpenPIV and try it yourself : https://github.com/OpenPIV\n", " " ] } ], "metadata": { "kernelspec": { "display_name": "Python [conda env:openpiv]", "language": "python", "name": "conda-env-openpiv-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.5" }, "name": "" }, "nbformat": 4, "nbformat_minor": 4 }