{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "#Checkerboard Microstructure\n", "\n", "##Introduction - What are 2-Point Spatial Correlations (also called 2-Point Statistics)?\n", "\n", "The purpose of this example is to introduce 2-point spatial correlations and how they are computed, using PyMKS.\n", "\n", "The example starts with some introductory information about spatial correlations. PyMKS is used to compute both the periodic and non-periodic 2-point spatial correlations (also referred to as 2-point statistics or autocorrelations and crosscorrelations) for a checkerboard microstructure. This is a relatively simple example that allows an easy discussion of how the spatial correlations capture the main features seen in the original microstructure. If you would like more technical details about 2-point statistics please see the [theory section](THEORY.html)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "%load_ext autoreload\n", "%autoreload 2\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##2-Point Statistics for Checkerboard Microstructure\n", "\n", "Let's first start with making a microstructure that looks like a 8 x 8 checkerboard. Although this type of microstructure may not resemble a physical system, it provides solutions that give some intuitive understanding of 2-point statistics.\n", "\n", "We can create a checkerboard microstructure using `make_checkerboard_microstructure` function from `pymks.datasets`." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from pymks.datasets import make_checkerboard_microstructure\n", "\n", "X = make_checkerboard_microstructure(square_size=21, n_squares=8)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's take a look at how the microstructure looks." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "(1, 168, 168)\n" ] } ], "source": [ "from pymks.tools import draw_microstructures\n", "\n", "draw_microstructures(X)\n", "\n", "print X.shape\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Compute Periodic 2-Point Statistics\n", "\n", "Now that we have created a microstructure to work with, we can start computing the 2-point statistics. Let's start by looking at the periodic autocorrelations of the microstructure and then compute the periodic crosscorrelation. This can be done using the `autocorrelate` and `crosscorrelate` functions from `pymks.states`, and using the keyword argument `periodic_axes` to specify the axes that are periodic. \n", "\n", "In order to compute 2-pont statistics, we need to select a basis to generate the microstructure function `X_` from the microstructure `X`. Because we only have values of 0 or 1 in our microstructure we will using the `PrimitiveBasis` with `n_states` equal to 2." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from pymks.stats import autocorrelate\n", "from pymks import PrimitiveBasis\n", "\n", "p_basis = PrimitiveBasis(n_states=2)\n", "X_auto = autocorrelate(X, p_basis, periodic_axes=(0, 1))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have now computed the autocorrelations.\n", "\n", "Let's take a look at them using `draw_autocorrelations` from `pymks.tools`." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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B+Iy4i7H3Anf2maoqY+ZdfSwaXBcyszdtbBA2djVv9jnra6zc6wRj6NKbh+bg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\nae7reA9eB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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pymks.tools import draw_autocorrelations\n", "\n", "correlations = [('black', 'black'), ('white', 'white')]\n", "draw_autocorrelations(X_auto[0], autocorrelations=correlations)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that for this checkerboard microstructure, the autocorrelation for these 2 local states in the exact same. We have just computed the periodic autocorrelations for a perfectly periodic microstructure with equal volume fractions. In general this is not the case and the autocorrelations will be different, as we will see later in this example.\n", "\n", "As mentioned in the introduction, because we using an indicator basis and the we have eigen microstructure functions (values are either 0 or 1), the (0, 0) vector equals the volume fraction. \n", "\n", "Let's double check that both the phases have a volume fraction of 0.5." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Volume fraction of black phase 0.500000006869\n", "Volume fraction of white phase 0.500000006869\n" ] } ], "source": [ "center = (X_auto.shape[1] + 1) / 2\n", "print 'Volume fraction of black phase', X_auto[0, center, center, 0]\n", "print 'Volume fraction of white phase', X_auto[0, center, center, 1]\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can compute the cross-correlation of the microstructure function, using the `crosscorrelate` function from `pymks.stats`" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from pymks.stats import crosscorrelate\n", "\n", "X_cross = crosscorrelate(X, p_basis, periodic_axes=(0, 1))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's take a look at the cross correlation using `draw_crosscorrelations` from `pymks.tools`." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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TyAUXq6lpIR80cepYNlsZFA0LRslGseR/zhdNGMF2sWShaPjbtSquOU64khfL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\n6+UdFBSXyla2ZLwieEt8B2SF9FNj3SRURa5qYqmXN0mcSOi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NMVmqYzy5zrJ5U7FLzU67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\n/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pymks.tools import draw_crosscorrelations\n", "\n", "correlations = [('black', 'white')]\n", "draw_crosscorrelations(X_cross[0], crosscorrelations=correlations)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that the crosscorrelation is the exact opposite of the 2 autocorrelations. The (0, 0) vector has a value of 0. This statistic reflects the probablity of 2 phases having the same location. In our microstructure, this probability is zero, as we have not allowed the two phases (colored black and white) to co-exist in the same spatial voxel.\n", "\n", "Let's check that it is zero." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Center value 3.74121776119e-17\n" ] } ], "source": [ "print 'Center value', X_cross[0, center, center, 0]\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Compute Non-Periodic 2-Point Statistics\n", "\n", "We will now compute the non-periodic 2-point statistics for our microstructure. This time, rather than using the `autocorrelate` and `crosscorrelate` functions, we will use the `correlate` function from `pymks.stats`. The `correlate` function computes all of the autocorrelations and crosscorrelations at the same time. We will compute the non-periodic statistics by omitting the keyword argument `periodic_axes`." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from pymks.stats import correlate\n", "\n", "X_corr = correlate(X, p_basis)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "All or some of the correlations can be viewed, using the `draw_correlations` function from `pymks.tools`. In this example we will look at all of them." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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eHwNJqj8HAIWX2goCWJH4HXtwQHnHBvtVtMJgP+x+YZm36zXqN8vzYLn6WAAA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sAAAg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Oc9VJYlPf744/TBD36QHnzwQXr1q1/9YqlyW8K2OJo5p4gozsBQVel7LndkIVaKRlBbsxEb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\nISGJ5edA1HADZoa3rgJ0aOreoC743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g98kRP9zM/QJl9cfqSAxt/8m3+TvvnNb1JRFPQH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\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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pymks.tools import draw_correlations\n", "\n", "correlations = [('black', 'black'), ('white', 'white'), ('black', 'white')]\n", "draw_correlations(X_corr[0].real, correlations=correlations)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that the maximum values for the autocorrelations are higher than 0.5. We can still show that the centers or the (0, 0) vectors are still equal to the volume fractions." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Volume fraction of black phase 0.5\n", "Volume fraction of white phase 0.5\n" ] } ], "source": [ "print 'Volume fraction of black phase', X_corr[0, center, center, 0]\n", "print 'Volume fraction of white phase', X_corr[0, center, center, 1]\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The non-periodic statistics are different from the periodic 2-point statistics along the diagonal vectors, but in both cases the probability of (0, 0) vector is still the volume fraction." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "\n", "[1] S.R. Niezgoda, D.T. Fullwood, S.R. Kalidindi, Delineation of the Space of 2-Point Correlations in a Composite Material System, Acta Materialia, 56, 18, 2008, 5285–5292 [doi:10.1016/j.actamat.2008.07.005](http://dx.doi.org/10.1016/j.actamat.2008.07.005)\n", "\n", " \n", "[2] S.R. Niezgoda, D.M. Turner, D.T. Fullwood, S.R. Kalidindi, Optimized Structure Based Representative Volume Element Sets Reflecting the Ensemble-Averaged 2-Point Statistics, 58, 13, 2010, 4432–4445 [doi:10.1016/j.actamat.2010.04.041](http://dx.doi.org/10.1016/j.actamat.2010.04.041)\n", "\n", "\n", "[3] D.T. Fullwood, S.R. Kalidindi, and B.L. Adams, Second - Order Microstructure Sensitive Design Using 2-Point Spatial Correlations, Chapter 12 in Electron Backscatter Diffraction in Materials Science , 2nd Edition , Eds. A. Schwartz, M. Kumar, B. Adams, D. Field, Springer, NY, 2009. " ] } ], "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": "2.7.10" } }, "nbformat": 4, "nbformat_minor": 0 }