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
4 September 2002
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), .
(doi:10.1103/PhysRevLett.89.135501).
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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Published date: 4 September 2002
Organisations:
Chemistry, Faculty of Natural and Environmental Sciences, Magnetic Resonance
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Local EPrints ID: 355578
URI: http://eprints.soton.ac.uk/id/eprint/355578
PURE UUID: 8270a0aa-bde5-4a12-b551-62d62589fc90
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Date deposited: 21 Nov 2013 14:12
Last modified: 15 Mar 2024 03:44
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Author:
M. Rozman
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