3D structural analysis: sensitivity of Minkowski functionals

Arns CH, Knackstedt MA, Mecke K (2010)

Publication Status: Published

Publication Type: Journal article

Publication year: 2010

Journal

Journal of Microscopy Wiley-Blackwell

Publisher: WILEY-BLACKWELL

Book Volume: 240

Pages Range: 181-196

Journal Issue: 3

DOI: 10.1111/j.1365-2818.2010.03395.x

Abstract

The Minkowski functionals, a family of statistical measures based on the Euler-Poincare characteristic of n-dimensional space, are the complete set of additive morphological measures and can be simply calculated from local contributions. As such, they have found a wide range of applications. We consider the effects of distortions (drift, noise and blurring) on the morphological properties of complex random models, representative of a wide range of structure. Such distortions arise experimentally in imaging techniques due to diffraction, absorption and sample drift. The question is asked, how critically these distortions effect image quality as measured by the Minkowski functionals. Defining a length scale based on the two-point correlation function, we consider how distortion at different scales can lead to quantitative errors in morphological measures.

Authors with CRIS profile

Klaus Mecke Lehrstuhl für Theoretische Physik

Additional Organisation(s)

Exzellenz-Cluster Engineering of Advanced Materials (EAM)

Involved external institutions

University of New South Wales (UNSW) AU Australia (AU) Australian National University (ANU) AU Australia (AU)

How to cite

APA:

Arns, C.H., Knackstedt, M.A., & Mecke, K. (2010). 3D structural analysis: sensitivity of Minkowski functionals. Journal of Microscopy, 240(3), 181-196. https://doi.org/10.1111/j.1365-2818.2010.03395.x

MLA:

Arns, C. H., M. A. Knackstedt, and Klaus Mecke. "3D structural analysis: sensitivity of Minkowski functionals." Journal of Microscopy 240.3 (2010): 181-196.

BibTeX: Download