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arXiv · 1206.0933

Compressing Random Microstructures via Stochastic Wang Tilings

Jan Novák·Anna Kučerová·Jan Zeman
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Abstract

This paper presents a stochastic Wang tiling based technique to compress or reconstruct disordered microstructures on the basis of given spatial statistics. Unlike the existing approaches based on a single unit cell, it utilizes a finite set of tiles assembled by a stochastic tiling algorithm, thereby allowing to accurately reproduce long-range orientation orders in a computationally efficient manner. Although the basic features of the method are demonstrated for a two-dimensional particulate suspension, the present framework is fully extensible to generic multi-dimensional media.

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Jan Novák, Anna Kučerová, Jan Zeman. 2012-10-23. Compressing Random Microstructures via Stochastic Wang Tilings. https://doi.org/10.1103/physreve.86.040104

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