On the relevance of descriptor fidelity in microstructure reconstruction

Author:

Seibert Paul1ORCID,Raßloff Alexander1,Kalina Karl1ORCID,Safi Ali2ORCID,Reck Paul3ORCID,Peterseim Daniel34,Klusemann Benjamin25,Kästner Markus16

Affiliation:

1. Institute of Solid Mechanics TU Dresden Dresden Germany

2. Institute of Materials Mechanics Helmholtz‐Zentrum Hereon Geesthacht Germany

3. Institute of Mathematics University of Augsburg Augsburg Germany

4. Centre for Advanced Analytics and Predictive Sciences University of Augsburg Augsburg Germany

5. Institute for Production Technology and Systems Leuphana University of Lüneburg Lüneburg Germany

6. Dresden Center for Computational Materials Science TU Dresden Dresden Germany

Abstract

AbstractA common strategy for reducing the computational effort of descriptor‐based microstructure reconstruction in the Yeong–Torquato algorithm lies in restricting the choice of descriptors to an efficiently computable subset. As an alternative, the number of iterations can be reduced by gradient‐based optimization as in differentiable microstructure characterization and reconstruction (DMCR). This allows for, but does not require, the use of a set of informative, high‐dimensional and computationally expensive descriptors that would be unfeasible for a high number of iterations. For this reason, the present work investigates the role of descriptor fidelity on microstructure reconstruction results. More precisely, spatial two‐ and three‐point correlations as well as the lineal path function are computed on 2D planes as well as on 1D lines. These descriptors are used for reconstruction with the Yeong–Torquato and DMCR algorithm and the results are compared throughout various microstructures, respectively.

Funder

Deutsche Forschungsgemeinschaft

European Research Council

Publisher

Wiley

Subject

Electrical and Electronic Engineering,Atomic and Molecular Physics, and Optics

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