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Compressing random microstructures via stochastic Wang tilings

. 2012 Oct ; 86 (4 Pt 1) : 040104. [epub] 20121022

Language English Country United States Media print-electronic

Document type Journal Article, Research Support, Non-U.S. Gov't

This Rapid Communication 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 multidimensional media.

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Bounded Wang tilings with integer programming and graph-based heuristics

. 2023 Mar 24 ; 13 (1) : 4865. [epub] 20230324

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