Tensorial Minkowski functionals of triply periodic minimal surfaces

Mickel W, Schröder-Turk G, Mecke K (2012)

Publication Status: Published

Publication Type: Journal article

Publication year: 2012

Journal

Interface Focus The Royal Society

Publisher: ROYAL SOC

Book Volume: 2

Pages Range: 623-633

Journal Issue: 5

DOI: 10.1098/rsfs.2012.0007

Abstract

A fundamental understanding of the formation and properties of a complex spatial structure relies on robust quantitative tools to characterize morphology. Asystematic 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.

Authors with CRIS profile

Gerd Schröder-Turk Lehrstuhl für Theoretische Physik Klaus Mecke Lehrstuhl für Theoretische Physik

Additional Organisation(s)

Exzellenz-Cluster Engineering of Advanced Materials (EAM)

How to cite

APA:

Mickel, W., Schröder-Turk, G., & Mecke, K. (2012). Tensorial Minkowski functionals of triply periodic minimal surfaces. Interface Focus, 2(5), 623-633. https://doi.org/10.1098/rsfs.2012.0007

MLA:

Mickel, Walter, Gerd Schröder-Turk, and Klaus Mecke. "Tensorial Minkowski functionals of triply periodic minimal surfaces." Interface Focus 2.5 (2012): 623-633.

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