 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 .
<clarity>  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 .
 Having established 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 .