Alpers, Andreas ORCID: 0000-0003-0663-6037, Fiedler, Maximilian, Gritzmann, Peter and Klemm, Fabian
(2023)
Dynamic grain models via fast heuristics for diagram representations.
Philosophical Magazine, 103 (10).
pp. 1-21.
Abstract
The present paper introduces a mathematical model for analysing dynamic grain growth. In particular, we show how the characteristic measurements grain volumes, centroids, and central second-order moments at discrete moments in time can be quickly turned into a continuous description of the grain growth process in terms of geometric diagrams (which largely generalize the well-known Voronoi and Laguerre tessellations). We give a theoretical analysis of common optimization-free heuristics in terms of discriminant analysis and evaluate the computational behaviour of our algorithm on real-world data.
Item Type: | Article |
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Uncontrolled Keywords: | Power diagrams, generalized balanced power diagrams, tessellations, grains, polycrystals, grain growth |
Divisions: | Faculty of Science and Engineering > School of Physical Sciences |
Depositing User: | Symplectic Admin |
Date Deposited: | 06 Mar 2023 08:56 |
Last Modified: | 13 May 2023 08:10 |
DOI: | 10.1080/14786435.2023.2180679 |
Open Access URL: | https://doi.org/10.1080/14786435.2023.2180679 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3168771 |