Turning Grain Maps into Diagrams

Alpers, Andreas ORCID: 0000-0003-0663-6037, Fiedler, Maximilian, Gritzmann, Peter and Klemm, Fabian (2023) Turning Grain Maps into Diagrams. SIAM JOURNAL ON IMAGING SCIENCES, 16 (1). pp. 223-249.

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Official URL: http://dx.doi.org/10.1137/22m1491988

Abstract

The present paper studies mathematical models for representing, imaging, and analyzing polycrystalline materials. We introduce various techniques for converting grain maps into diagram or tessellation representations that rely on constrained clustering. In particular, we show how to significantly accelerate the computation of generalized balanced power diagrams and how to extend it to allow for optimization over all relevant parameters. A comparison of the accuracy of the proposed approaches is given based on a three-dimensional real-world data set of 339 × 339 × 599 voxels.

Item Type:	Article
Additional Information:	29 pages, 9 figures, 2 tables
Uncontrolled Keywords:	imaging, diagram, grain map, coreset, data reduction, polycrystal
Depositing User:	Symplectic Admin
Date Deposited:	10 Nov 2022 15:46
Last Modified:	19 Aug 2023 06:29
DOI:	10.1137/22M1491988
Open Access URL:	https://arxiv.org/abs/2205.06650
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3166136