Reconstruction of three-dimensional anisotropic microstructures from two-dimensional micrographs imaged on orthogonal planes
Source abstract
Abstract
Abstract A pervasive method for reconstructing microstructures from two-dimensional microstructures imaged on orthogonal planes is presented. The algorithm reconstructs 3D images through matching of 3D slices at different voxels to the representative 2D micrographs and an optimization procedure that ensures patches from the 2D micrographs meshed together seamlessly in the 3D image. We show that the method effectively models the three-dimensional features in the microstructure using three cases (i) disperse spheres, (ii) anisotropic lamellar microstructure, and (iii) a polycrystalline microstructure. The method is validated by comparing the point probability functions of the reconstructed images to the original 2D image, as well as by comparing the elastic properties of reconstructed image to the experimental data.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Composite Material Mechanics · Rock Mechanics and Modeling · Mineral Processing and Grinding
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (17)
Show source-provided references
1. Sundararaghavan V, Zabaras N: Classification and reconstruction of three-dimensional microstructures using support vector machines. Compu Mater Sci 2005, 32: 223–239. 10.1016/j.commatsci.2004.07.00410.1016/j.commatsci.2004.07.004 ↗
2. Yeong CLY, Torquato S: Reconstructing random media II. Three-dimensional media from two-dimensional cuts. Phys Rev E 1998, 58(1):224–233. 10.1103/PhysRevE.58.22410.1103/PhysRevE.58.224 ↗
3. Manwart C, Torquato S, Hilfer R: Stochastic reconstruction of sandstones. Phys Rev E 2000, 62: 893–899. 10.1103/PhysRevE.62.89310.1103/PhysRevE.62.893 ↗
4. Torquato S: Random heterogeneous materials: microstructure and macroscopic properties. Springer, New York; 2002.10.1007/978-1-4757-6355-3 ↗
5. Efros A, Leung T: Texture synthesis by non-parametric sampling. Int Conf Comput Vis 1999, 2: 1033–1038.
6. Ising E: Beitrag zur Theorie des Ferromagnetismus. Zeitschrift Physik 1925, 31: 253–258. 10.1007/BF0298057710.1007/BF02980577 ↗
7. Besag J: Spatial interaction and the statistical analysis of lattice systems. J R Stat Soc. Series B (Methodological) 1974, 36(2):192–236.10.1111/j.2517-6161.1974.tb00999.x ↗
8. Kwatra V, Essa I, Bobick A, Kwatra N: Texture optimization for example-based synthesis. ACM Trans Graph (Proc. SIGGRAPH) 2005, 24(3):795–802. 10.1145/1073204.107326310.1145/1073204.1073263 ↗
9. Altman NS: An introduction to kernel and nearest-neighbor nonparametric regression. The American Statistician 1992, 46(3):175–185.10.1080/00031305.1992.10475879 ↗
10. Kopf J, Fu C-W, Cohen-Or D, Deussen O, Lischinski D, Wong T-T: Solid texture synthesis from 2D exemplars. Proc SIGGRAPH 2007, 2: 1–9.
11. Xu H, Dikin DA, Burkhart C, Chen W: Descriptor-based methodology for statistical characterization and 3D reconstruction of microstructural materials. Comput Mater Sci 2014, 85: 206–216. 10.1016/j.commatsci.2013.12.04610.1016/j.commatsci.2013.12.046 ↗
12. Quintanilla J: Microstructure and properties of random heterogeneous materials: a review of theoretical results. Polymer Engg Sci 1999, 39: 559–585. 10.1002/pen.1144610.1002/pen.11446 ↗
13. Umekawa S, Kotfila R, Sherby OD: Elastic properties of a tungsten-silver composite above and below the melting point of silver. J Mech Phys Solids 1965, 13(4):229–230. 10.1016/0022-5096(65)90012-810.1016/0022-5096(65)90012-8 ↗
14. Roberts AP, Garboczi EJ: Elastic properties of a tungsten-silver composite by reconstruction and computation. J Mech Phys Solids 1999, 47: 2029–2055. 10.1016/S0022-5096(99)00016-210.1016/S0022-5096(99)00016-2 ↗
15. Roberts AP, Torquato S: Chord-distribution functions of three-dimensional random media: approximate first-passage times of Gaussian processes. Phys Rev E 1999, 59(5):4953–4963. 10.1103/PhysRevE.59.495310.1103/PhysRevE.59.4953 ↗
16. Lee PS, Piehler HR, Rollett AD, Adams BL: Texture clustering and long-range disorientation representation methods: application to 6022 aluminum sheet. Metallurgical Mater Trans A 2002, 33(12):3709–3718. 10.1007/s11661-002-0243-x10.1007/s11661-002-0243-x ↗
17. Garboczi EJ (1998) NIST Internal Report 6269. Chapter 2. . Accessed 24 Nov 2013., [http://ciks.cbt.nist.gov/garboczi/]