title: Compressing random microstructures via stochastic Wang tilings.
abstract: 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.
authors.affiliation: Department of Mechanics, Faculty of Civil Engineering, Czech Technical University in Prague, Thákurova 7, 166 29 Praha, Czech Republic. novakj@cml.fsv.cvut.cz
authors.forename: Jan
authors.initials: J
authors.lastname: Novák
authors.forename: Anna
authors.initials: A
authors.lastname: Kučerová
authors.forename: Jan
authors.initials: J
authors.lastname: Zeman
mesh_terms: D000465:Algorithms; D001703:Biophysics / Q000379:methods; D044962:Data Compression; D007091:Image Processing, Computer-Assisted; D021621:Imaging, Three-Dimensional / Q000379:methods*; D008422:Materials Testing; D015233:Models, Statistical; D015203:Reproducibility of Results; D013269:Stochastic Processes