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Document type:
Zeitschriftenaufsatz 
Author(s):
Alpers, A., A. Brieden, P. Gritzmann, A. Lyckegaard and H. Poulsen 
Title:
Generalized balanced power diagrams for 3D representations of polycrystals 
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