Minkowski Tensor Shape Analysis of Cellular, Granular and Porous Structures (pages 2535–2553)
G. E. Schröder-Turk, W. Mickel, S. C. Kapfer, M. A. Klatt, F. M. Schaller, M. J. F. Hoffmann, N. Kleppmann, P. Armstrong, A. Inayat, D. Hug, M. Reichelsdorfer, W. Peukert, W. Schwieger and K. Mecke
Version of Record online: 16 JUN 2011 | DOI: 10.1002/adma.201100562
Minkowski tensors are a novel method to quantify morphology and anisotropy of complex materials. These robust shape indices are relevant for structure-property relationships of tensor-valued or orientation-dependent physical properties. An introduction to Minkowski tensors is given and illustrated by applications to SFM images of copolymeric films, tomography of open-cells foams, and of granular matter, defect detection in simulations of copper and orientation-correlations in cellular partitions.