{ "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": 14, "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": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The autoreload extension is already loaded. To reload it, use:\n", " %reload_ext autoreload\n" ] } ], "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": 16, "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": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(1, 168, 168)\n" ] }, { "data": { "image/png": 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EJUnPczovSRUMUUmqYIhKUgVDVJIqGKKSVMEQlaQKhqgkVTBEJamCISpJFf4Pqjfn1ei10PUAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_microstructures(x_data[0])\n", "print(x_data.shape)" ] }, { "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": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(1, 168, 168)\n", "(1, 167, 167, 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", " cutoff=x_data.shape[1],\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": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "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": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "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": 21, "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": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1, 167, 167, 3)" ] }, "execution_count": 22, "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],\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": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "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": 25, "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": [ "#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": 26, "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": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 1 }