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Title:

Generalized balanced power diagrams for 3D representations of polycrystals

Document type:
Zeitschriftenaufsatz
Author(s):
Alpers, A., A. Brieden, P. Gritzmann, A. Lyckegaard and H. Poulsen
Abstract:
Characterizing the grain structure of polycrystalline material is an important task in material science. The present paper introduces the concept of generalized balanced power diagrams as a concise alternative to voxelated mappings. Here, each grain is represented by (measured approximations of) its centre of mass position, its volume and, if available, and by its second-order moments (in the non-equiaxed case). Such parameters may be obtained from 3D X-ray diffraction. As the exact global optim...     »
Keywords:
power diagrams, generalized balanced power diagrams, tessellations, linear programming, grains, polycrystals
Journal title:
Philosophical Magazine
Year:
2015
Journal issue:
95
Pages contribution:
1016-1028
Reviewed:
ja
Language:
en
TUM Institution:
Lehrstuhl für Angewandte Geometrie und Diskrete Mathematik
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