Journal article
Tensorial Minkowski functionals of triply periodic minimal surfaces
Interface Focus, Vol.2(5), pp.623-633
2012
Abstract
A fundamental understanding of the formation and properties of a complex spatial structure relies on robust quantitative tools to characterize morphology. A systematic approach to the characterization of average properties of anisotropic complex interfacial geometries is provided by integral geometry which furnishes a family of morphological descriptors known as tensorial Minkowski functionals. These functionals are curvature-weighted integrals of tensor products of position vectors and surface normal vectors over the interfacial surface. We here demonstrate their use by application to non-cubic triply periodic minimal surface model geometries, whose Weierstrass parametrizations allow for accurate numerical computation of the Minkowski tensors.
Details
- Title
- Tensorial Minkowski functionals of triply periodic minimal surfaces
- Authors/Creators
- W. Mickel (Author/Creator) - Friedrich-Alexander-Universität Erlangen-NürnbergG.E. Schröder-Turk (Author/Creator) - Friedrich-Alexander-Universität Erlangen-NürnbergK. Mecke (Author/Creator) - Friedrich-Alexander-Universität Erlangen-Nürnberg
- Publication Details
- Interface Focus, Vol.2(5), pp.623-633
- Publisher
- Royal Society Publishing
- Identifiers
- 991005541621807891
- Copyright
- © 2012 The Royal Society
- Murdoch Affiliation
- Murdoch University
- Language
- English
- Resource Type
- Journal article
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