{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Checkerboard Microstructure\n", "\n", "## Introduction - What are 2-Point Spatial Correlations (also called 2-Point Statistics)?\n", "\n", "\n", "This example computes both periodic and non-periodic 2-point spatial correlations (also referred to as 2-point stats or auto-correlations and cross-correlations) for a checkerboard microstructure. This is a simple example to demonstrate how spatial correlations capture features seen in the original microstructure. More technical details about 2-point statistics are in the [theory section](../../THEORY.html)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from sklearn.pipeline import Pipeline\n", "\n", "from pymks import (\n", " generate_checkerboard,\n", " plot_microstructures,\n", " PrimitiveTransformer,\n", " TwoPointCorrelation\n", ")" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "#PYTEST_VALIDATE_IGNORE_OUTPUT\n", "\n", "%matplotlib inline\n", "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2-Point Statistics for Checkerboard Microstructure\n", "\n", "Generate a microstructure that looks like a 8 x 8 checkerboard. Although this microstructure does not resemble a physical system, it is a good example to develop an intuitive understanding of 2-point statistics.\n", "\n", "Create a checkerboard microstructure using the `generate_checkerboard` function." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "x_data = generate_checkerboard(\n", " size=(21 * 8, 21 * 8),\n", " square_shape=(21, 21)\n", ").persist()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Observe he microstructure using the `plot_microstructures` helper function." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(1, 168, 168)\n" ] }, { "data": { "image/png": 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l5uFxD6LUUCEqSdrM6bwkVTBEJamCISpJFQxRSapgiEpSBUNUkioYopJUwRCVpAqGqCRV+F+tuHxVKv2GfwAAAABJRU5ErkJggg==\n", 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" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fig = plot_microstructures(x_data[0])\n", "print(x_data.shape)\n", "fig" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compute Periodic 2-Point Statistics\n", "\n", "Compute the periodic 2-points stats using the `TwoPointCorrelation` class. The `periodic_boundary` argument is set to `True`. To compute 2-point stats first discretize the microstructure using a chosen basis using a `PrimitiveTransformer` with `n_state` equal to 2. The `PrimitiveTransformer` and the `TwoPointCorrelation` are combined into a Scikit-learn pipeline to generate a model. The `transform` method executes the pipeline as this is not a model that requires a `predict` step to use. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(1, 168, 168)\n", "(1, 169, 169, 3)\n" ] } ], "source": [ "model = Pipeline(steps=[\n", " ('discretize', PrimitiveTransformer(n_state=2, min_=0.0, max_=1.0)),\n", " ('correlations', TwoPointCorrelation(\n", " periodic_boundary=True, \n", " correlations=[[0, 0], [1, 1], [0, 1]]\n", " ))\n", "])\n", "\n", "print(x_data.shape)\n", "x_stats = model.transform(x_data).persist()\n", "print(x_stats.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the auto-correlations." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_microstructures(x_stats[0, :, :, 0], x_stats[0, :, :, 1], titles=['0 -> 0', '1 -> 1'], cmap='bwr')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and then the cross-correlations" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_microstructures(x_stats[0, :, :, 2], titles=['0 -> 1'], cmap='bwr')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that for this checkerboard microstructure, the correlations are offset, but with the same values. This is the periodic correlations for a perfectly periodic microstructure with equal volume fractions. In general this is not the case and the correlations will not match the microstructure.\n", "\n", "Notice that the crosscorrelation (0 -> 1) is the exact opposite of the autocorrelation (0 -> 0). The (0, 0) vector has a value of 0. This statistic reflects the probablity of 2 phases having the same location. In the checkerboard microstructures, 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", "Double check that the center points have the correct values." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Volume fraction of 0 -> 0: dask.array\n", "Volume fraction of 0 -> 1: dask.array\n" ] } ], "source": [ "center = x_stats.shape[1] // 2\n", "\n", "print('Volume fraction of 0 -> 0: ', np.allclose(x_stats[0, center, center, 0], 0.5))\n", "print('Volume fraction of 0 -> 1: ', np.allclose(x_stats[0, center, center, 2], 0))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compute Non-Periodic 2-Point Statistics\n", "\n", "Compute the non-periodic 2-point statistics for the microstructure, but with non-periodic statistics by setting the `periodic_boundary=False`." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1, 169, 169, 3)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model = Pipeline(steps=[\n", " ('discretize', PrimitiveTransformer(n_state=2, min_=0.0, max_=1.0)),\n", " ('correlations', TwoPointCorrelation(\n", " periodic_boundary=False,\n", " cutoff=x_data.shape[1] // 2,\n", " correlations=[[0, 0], [1, 1], [0, 1]]\n", " ))\n", "])\n", "\n", "x_stats = model.transform(x_data).persist()\n", "x_stats.shape" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_microstructures(x_stats[0, :, :, 0], x_stats[0, :, :, 1], titles=['0 -> 0', '1 -> 1'], cmap='bwr')" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_microstructures(x_stats[0, :, :, 2], titles=['0 -> 1'], cmap='bwr')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that the maximum values for the autocorrelations are higher than 0.5 due to the non-periodicity and that the (red -> red) or (blud -> blue) diagonals are more curved compared with the periodic stats.\n", "\n", "The centers or the (0, 0) vectors are still equal to the volume fractions." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Volume fraction of black phase 0.49999999999999994\n", "Volume fraction of white phase 0.5\n" ] } ], "source": [ "#PYTEST_VALIDATE_IGNORE_OUTPUT\n", "\n", "print('Volume fraction of black phase', x_stats[0, center, center, 0].compute())\n", "print('Volume fraction of white phase', x_stats[0, center, center, 1].compute())" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "assert np.allclose(x_stats[0, center, center, 0], 0.5)\n", "assert np.allclose(x_stats[0, center, center, 1], 0.5)" ] }, { "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": "3.8.9" } }, "nbformat": 4, "nbformat_minor": 1 }