 Having  a universal procedure for generating tile morphologies at hand , we compare strictly aperiodic and stochastic sets of the same cardinality in terms of reducing the artificial periodicity in reconstructed microstructural samples , and demonstrate the superiority of the vertex-defined tile sets for two-dimensional problems . Finally, we illustrate the capabilities of the algorithm with two- and three-dimensional examples.
<coherence>  Having  a universal procedure for generating tile morphologies at hand , we compare strictly aperiodic and stochastic sets of the same cardinality in terms of reducing the artificial periodicity in reconstructed microstructural samples , and demonstrate the superiority of the vertex-defined tile sets for two-dimensional problems . Finally, we illustrate the capabilities of the algorithm with two- and three-dimensional examples.
 Having a universal procedure for generating tile morphologies at hand , we compare strictly aperiodic and stochastic sets of the same cardinality in terms of reducing the artificial periodicity in reconstructed microstructural samples , and demonstrate the superiority of the vertex-defined tile sets for two-dimensional problems and illustrate the capabilities of the algorithm with two- and three-dimensional examples.