Microstructure reconstruction using entropic descriptors

Details Microstructure reconstruction using entropic descriptors Microstructure reconstruction using entropic descriptors

2009-10-10

arxiv.org/abs/0910.1955v5

Proc. R. Soc. A 467 (2011) 806-820

Physics

Condensed Matter

Statistical Mechanics

version accepted for publication in Proc. R. Soc. A

Scientific paper

10.1098/rspa.2010.0296

A multi-scale approach to the inverse reconstruction of a pattern's microstructure is reported. Instead of a correlation function, a pair of entropic descriptors (EDs) is proposed for stochastic optimization method. The first of them measures a spatial inhomogeneity, for a binary pattern, or compositional one, for a greyscale image. The second one quantifies a spatial or compositional statistical complexity. The EDs reveal structural information that is dissimilar, at least in part, to that given by correlation functions at almost all of discrete length scales. The method is tested on a few digitized binary and greyscale images. In each of the cases, the persuasive reconstruction of the microstructure is found.

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