journal article·2016-06

Towards a quantitative comparison between experimental and synthetic grain structures

P.G. Callahan, M. Groeber, M. De Graef

Acta Materialia· Volume 111
Publisher page

Abstract

Abstract A method is proposed to quantitatively compare 3-D microstructural data using the Hellinger distance. Statistics from an experimentally observed 3-D IN100 microstructure are used to generate six synthetic microstructures. These are compared quantitatively to the experimental microstructure by computing the Hellinger distances between distributions of microstructural descriptors, such as the volume, the aspect ratio, and the affine moment invariant Ω ¯ 3 . The synthetic microstructures use three starting shape classes, namely ellipsoids, superellipsoids, and shapes generated by truncating a cube with an octahedron; this latter shape class is proposed here for use in microstructure generation, and we derive relevant morphological descriptors. Synthetic microstructures are generated using either random grain placement or by constraining the grain placement to the experimental grain centroids. We present a method for determining microstructure similarity by random sampling from a reference microstructure as well as quantitative shape comparisons between synthetic and experimental microstructures.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Image Retrieval and Classification Techniques · Morphological variations and asymmetry · Image Processing and 3D Reconstruction

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (32)

Show source-provided references
1. The role of grain size and shape in strengthening of dispersion hardened nickel alloys10.1016/0001-6160(72)90103-4 ↗
2. Random heterogeneous media: microstructure and improved bounds on effective properties10.1115/1.3119494 ↗
3. Analysis of 3-d network structures10.1080/14786430412331329892 ↗
4. Minimal network partitions using average N-hedra10.1080/14786430600885420 ↗
5. Quantitative serial sectioning analysis10.1046/j.1365-2818.2001.00832.x ↗
6. 3D microstructural characterization of nickel superalloys via serial-sectioning using a dual beam FIB-SEM10.1016/j.scriptamat.2006.02.039 ↗
7. Three-dimensional maps of grain boundaries and the stress state of individual grains in polycrystals and powders10.1107/S0021889801014273 ↗
8. Poulsen · 2004
9. Three-dimensional analysis of grain topology and interface curvature in a β-titanium alloy10.1016/j.actamat.2010.06.030 ↗
10. Robust morphological measures for large-scale structure in the universe
11. Ohser · 2000
12. A framework for automated analysis and simulation of 3D polycrystalline microstructures. Part 1: statistical characterization10.1016/j.actamat.2007.11.041 ↗
13. Flusser · 2009
14. On the use of 2-d moment invariants for the automated classification of particle shapes10.1016/j.actamat.2007.09.039 ↗
15. Three-dimensional analysis of secondary γ' precipitates in René-88 DT and UMF-20 superalloys10.1016/j.actamat.2009.08.053 ↗
16. 3d reconstruction of microstructure in a commercial purity aluminum10.1016/j.scriptamat.2006.02.017 ↗
17. Dream.3d: a digital representation environment for the analysis of microstructure in 3d
18. A framework for automated analysis and simulation of 3D polycrystalline microstructures. Part2: synthetic structure generation10.1016/j.actamat.2007.11.040 ↗
19. A framework for automated 3d microstructure analysis and representation10.1007/s10820-007-9078-5 ↗
20. Shape retrieval using 3D Zernike descriptors10.1016/j.cad.2004.01.005 ↗
21. On the independence of rotation moment invariants10.1016/S0031-3203(99)00127-2 ↗
22. Szeliski · 2010
23. On the use of 2-D moment invariants for the automated classification of particle shapes10.1016/j.actamat.2007.09.039 ↗
24. On the use of moment invariants for the automated analysis of 3-D particle shapes10.1088/0965-0393/16/4/045008 ↗
25. Concave convex-body functionals and higher order moments-of-inertia10.1007/BF02564348 ↗
26. Hilbert · 1952
27. A quantitative description of the morphological aspects of materials structures suitable for quantitative comparison of 3D microstructures10.1088/0965-0393/21/1/015003 ↗
28. Kernel-based object tracking10.1109/TPAMI.2003.1195991 ↗
29. On a measure of divergence between two statistical populations defined by their probability distribution
30. Some elementary principles of polycrystalline microstructure
31. Russ · 2002
32. Orientation image-based micromechanical modelling of subgrain texture evolution in polycrystalline copper10.1016/j.actamat.2008.04.016 ↗