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On the generation of periodic discrete structures with identical two-point correlation.

ABSTRACT: 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 2PC-equivalent root structures, 2PC-equivalent child structures of arbitrary resolution and number of phases (e.g. material phases) can be generated based on phase extension through trivial embeddings, kernel-based extension and phase coalescence. Proofs are provided by means of discrete Fourier transform theory. A Python 3 implementation is offered for reproduction of examples and future applications.

SUBMITTER: Fernandez M

PROVIDER: S-EPMC7655758 | biostudies-literature |

REPOSITORIES: biostudies-literature

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