Strategies for the generation of periodic discrete structures with identical two-point
correlation—called 2PC-equivalent—are developed. It is shown that starting from a set of …

A novel method for combining two microstructures and consequently obtaining new
geometrical arrangement with intermediate properties is presented. A series of two-phase …

This paper presents a generalized framework along with the associated computational
strategies for a rigorous quantification of the material structure in a range of different …

A two-stage variant of the cut-and-project method is presented, in which a periodic structure
is cut and projected in a high-dimensional space onto three-dimensional physical space so …

Two-point statistics describe the first-order spatial correlations between the constituent
distinct local states in the internal structure of the material. These are usually recovered by …

In this research, a new procedure is presented for two-scale construction of three-
dimensional microstructures. Based on two-point correlation functions and phases recovery …

This paper explores a Bayesian theoretic approach to constructing multiscale complex-
phase-order representations. We formulate the construction of complex-phase-order …

A two-dimensional binary pattern is used as a two-dimensional bar-code, a position
detection pattern, a diffraction pattern for calibration of a laser beam, and so on. Most …

The analytical classification approaches for the crystallographic symmetries of patterns that
are more or less periodic in two dimensions (2D) are reviewed. Pseudo-symmetries of …

In this work, the diffraction-based discrimination of two-dimensional (2D) orthogonal
separable and nonseparable periodic structures and prediction of the reduced Talbot …