Aperiodic compression and reconstruction of real world material systems based on Wang tiles

TL;DR

This paper introduces a novel method for compressing and reconstructing complex material microstructures using Wang tiles, enabling efficient synthesis of realistic material morphologies based on statistical analysis.

Contribution

It develops an automatic parameter setup for Wang tile design and demonstrates its effectiveness on various real-world material systems.

Findings

Effective compression of microstructures into Wang tiles.

Successful reconstruction of diverse material morphologies.

Parameter optimization improves synthesis quality.

Abstract

The paper presents a concept/technique to compress and synthesize complex material morphologies that is based on Wang tilings. Specifically, a microstructure is stored in a set of Wang tiles and its reconstruction is performed by means of a stochastic tiling algorithm. A substantial part of the study is devoted to the setup of optimal parameters of the automatic tile design by means of parametric studies with statistical descriptors at heart. The performance of the method is demonstrated on four two-dimensional two-phase target systems, monodisperse media with hard and soft discs, sandstone, and high porosity metallic foam.