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Uniqueness of reconstruction of multiphase morphologies from two-point correlation functions

Uniqueness of reconstruction of multiphase morphologies from two-point correlation functions
Uniqueness of reconstruction of multiphase morphologies from two-point correlation functions
The restoration of the spatial structure of heterogeneous media, such as composites, porous materials, microemulsions, ceramics, or polymer blends from two-point correlation functions, is a problem of relevance to several areas of science. In this contribution we revisit the question of the uniqueness of the restoration problem. We present numerical evidence that periodic, piecewise uniform structures with smooth boundaries are completely specified by their two-point correlation functions, up to a translation and, in some cases, inversion. We discuss the physical relevance of the results.
5501-5504
Rozman, M.
311d4f65-61d4-4fab-baef-a1a47d0e51d7
Utz, Marcel
c84ed64c-9e89-4051-af39-d401e423891b
Rozman, M.
311d4f65-61d4-4fab-baef-a1a47d0e51d7
Utz, Marcel
c84ed64c-9e89-4051-af39-d401e423891b

Rozman, M. and Utz, Marcel (2002) Uniqueness of reconstruction of multiphase morphologies from two-point correlation functions. Physical Review Letters, 89 (13), 5501-5504. (doi:10.1103/PhysRevLett.89.135501).

Record type: Article

Abstract

The restoration of the spatial structure of heterogeneous media, such as composites, porous materials, microemulsions, ceramics, or polymer blends from two-point correlation functions, is a problem of relevance to several areas of science. In this contribution we revisit the question of the uniqueness of the restoration problem. We present numerical evidence that periodic, piecewise uniform structures with smooth boundaries are completely specified by their two-point correlation functions, up to a translation and, in some cases, inversion. We discuss the physical relevance of the results.

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More information

Published date: 4 September 2002
Organisations: Chemistry, Faculty of Natural and Environmental Sciences, Magnetic Resonance

Identifiers

Local EPrints ID: 355578
URI: https://eprints.soton.ac.uk/id/eprint/355578
PURE UUID: 8270a0aa-bde5-4a12-b551-62d62589fc90
ORCID for Marcel Utz: ORCID iD orcid.org/0000-0003-2274-9672

Catalogue record

Date deposited: 21 Nov 2013 14:12
Last modified: 20 Jul 2019 00:40

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