{ "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": [ "import pymks\n", "\n", "%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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Rj9PgLTgvXI/T4A36+bsQ3pJ7Iz1OmzdoPW4V3TthdqJqArhOLFYs2tEGJ8pW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MFdxtTZBek5oSvhrT57vZhYcZLsoD+T9zQ05Y5Gr9fD448/jm984xvY2NjAvffei7vuuuvQ6/7v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\n/36+8Y1vsHHjRnp7e485b9euX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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 0.5\n", "Volume fraction of white phase 0.5\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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QQn/kl+x60PRDjRrNIGF2o+moiarhhyAlD0myVOiP9DgbUlVrNPEa/g9SC6fz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\nZYGDyDSMkPPEMA2MINxBVb0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4zD63+kFn7cTM8vpJmSFsJx/sz8Vj9vuiEurnc7GYQajs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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 3.74121770979e-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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5Gi96qjn9FV/uJ99z4OVrwLbVHuApV2sg8MDC7Ht4TxX2dD3nQYvwIPv9DufC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BzmI35HcVDZ4R0Abwjug6D/wB8Fe+A2g0++3sr4RmhVZRP7YdxZpvZBRO84Y9lu4zl0C7p/08j1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\nx1/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fTOvdPb7SrAxgZmAHAcOR4ZajAmYYibglPERFge6Phbb4ve9b9gY/uTlS3ws9PL5X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\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JppWoxBu2oR/ZMnGEBquD/NTMklJw3Ccl1PpKanLKyYwNnINZzrWNrCiXRzdyVMgvxz9F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\nNL60fVWeFU3CwYKPG3VY5Um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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": "2.7.11" } }, "nbformat": 4, "nbformat_minor": 0 }