{ "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": true }, "outputs": [], "source": [ "#PYTEST_VALIDATE_IGNORE_OUTPUT\n", "\n", "from __future__ import print_function\n", "import warnings\n", "warnings.filterwarnings('ignore')\n", "\n", "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": true }, "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": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/wd15/anaconda/envs/pymks/lib/python3.6/site-packages/sklearn/cross_validation.py:44: DeprecationWarning: This module was deprecated in version 0.18 in favor of the model_selection module into which all the refactored classes and functions are moved. Also note that the interface of the new CV iterators are different from that of this module. This module will be removed in 0.20.\n", " \"This module will be removed in 0.20.\", DeprecationWarning)\n", "/home/wd15/anaconda/envs/pymks/lib/python3.6/site-packages/sklearn/learning_curve.py:23: DeprecationWarning: This module was deprecated in version 0.18 in favor of the model_selection module into which all the functions are moved. This module will be removed in 0.20\n", " DeprecationWarning)\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAUUAAAEcCAYAAABQ9aZiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nKAIkogiQiCJAIooAiSgCJKIIkPw/jSP2lCiK7yoAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "(1, 168, 168)\n" ] } ], "source": [ "#PYTEST_VALIDATE_IGNORE_OUTPUT\n", "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": true }, "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": {}, "outputs": [ { "data": { "image/png": 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vYkQmmk+9AdGt4ThOKXhBa6eNKCAzSJJkFFGa59KYqbKsZK6hHIjn/ZK5Rpto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\nW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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": 7, "metadata": {}, "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": 8, "metadata": { "collapsed": true }, "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": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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KxpG1qrXwziKoAneZOKfbSjCeWHeZi0v9QvQHE5ydj4nv554djMybeS8q7yKI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\nUAqNQ7hPqe1mcYIoSsiKy7yZ96LyZlzH3CdcE2P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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": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Center value -2.20965670985e-16\n" ] } ], "source": [ "#PYTEST_VALIDATE_IGNORE_OUTPUT\n", "\n", "print('Center value', X_cross[0, center, center, 0])" ] }, { "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": 11, "metadata": { "collapsed": true }, "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": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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jkLa4ZZeLw7o4nHbXfijSwbIktFO/HIGULA1pnUubHA+k4xEfTid5TCmESRyK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\ncsaD0AXFwrEWQ8I0kKuKvXnviaxW38ceLcw7j50Muo78fopuAjwv6qF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8jSDPsMCLn50H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FS3acmMCQ+AhtHLujgOLrGN1B5aLrq5Oo5v3WHhfjinsVaIu9m00lLIH46ywAjqRCBhfqe2NR0S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aKj8J68Ccz64u5O9cXZFjImqwfzjNAkky9WyiCJGmzuW5jq0iMhkxEeqA18QF6GAmps3ke+Jn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h1E0+lnHMQqUzpptLfVscDEgsMfQcBikUUWWSQkXSAbvcgiiyyyyIeTBYcXWWSRRR5WFhz+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\nJk1i6oGdSUTknCcnTJvJv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YWzCZRDoA24uqH+amBYoD/qTkb29/6gOkCfnEjXxGRfEA1n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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": 13, "metadata": {}, "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])" ] }, { "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": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 1 }