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The paper presents a concept/technique to compress and synthesize complexmaterial morphologies that is based on Wang tilings. Specifically, amicrostructure is stored in a set of Wang tiles and its reconstruction isperformed by means of a stochastic tiling algorithm. A substantial part of thestudy is devoted to the setup of optimal parameters of the automatic tiledesign by means of parametric studies with statistical descriptors at heart.The performance of the method is demonstrated on four two-dimensional two-phasetarget systems, monodisperse media with hard and soft discs, sandstone, andhigh porosity metallic foam.

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