Tensorial Minkowski functionals and anisotropy measures for planar patterns

Journal article


Publication Details

Author(s): Schröder-Turk G, Kapfer S, Breidenbach B, Beisbart C, Mecke K
Journal: Journal of Microscopy
Publisher: WILEY-BLACKWELL
Publication year: 2010
Volume: 238
Journal issue: 1
Pages range: 57-74
ISSN: 0022-2720
eISSN: 1365-2818


Abstract


Quantitative measures for anisotropic characteristics of spatial structure are needed when relating the morphology of microstructured heterogeneous materials to tensorial physical properties such as elasticity, permeability and conductance. Tensor-valued Minkowski functionals, defined in the framework of integral geometry, provide a concise set of descriptors of anisotropic morphology. In this article, we describe the robust computation of these measures for microscopy images and polygonal shapes. We demonstrate their relevance for shape description, their versatility and their robustness by applying them to experimental data sets, specifically microscopy data sets of non-equilibrium stationary Turing patterns and the shapes of ice grains from Antarctic cores.



FAU Authors / FAU Editors

Kapfer, Sebastian
Lehrstuhl für Theoretische Physik
Mecke, Klaus Prof. Dr.
Lehrstuhl für Theoretische Physik
Schröder-Turk, Gerd PD Dr.
Lehrstuhl für Theoretische Physik


Additional Organisation
Exzellenz-Cluster Engineering of Advanced Materials


External institutions with authors

Technische Universität Dortmund


Research Fields

A3 Multiscale Modeling and Simulation
Exzellenz-Cluster Engineering of Advanced Materials


How to cite

APA:
Schröder-Turk, G., Kapfer, S., Breidenbach, B., Beisbart, C., & Mecke, K. (2010). Tensorial Minkowski functionals and anisotropy measures for planar patterns. Journal of Microscopy, 238(1), 57-74. https://dx.doi.org/10.1111/j.1365-2818.2009.03331.x

MLA:
Schröder-Turk, Gerd, et al. "Tensorial Minkowski functionals and anisotropy measures for planar patterns." Journal of Microscopy 238.1 (2010): 57-74.

BibTeX: 

Last updated on 2019-24-07 at 07:23