English

Compressing Random Microstructures via Stochastic Wang Tilings

Materials Science 2012-10-24 v3

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.

Keywords

Cite

@article{arxiv.1206.0933,
  title  = {Compressing Random Microstructures via Stochastic Wang Tilings},
  author = {Jan Novák and Anna Kučerová and Jan Zeman},
  journal= {arXiv preprint arXiv:1206.0933},
  year   = {2012}
}

Comments

4 pages, 6 figures, v2: minor changes as suggested by reviewers, v3: corrected two typos in the revised version

R2 v1 2026-06-21T21:14:29.531Z