@inbook{14ab6ec706be4753a5696a5f2f3047d7,
title = "Aspects of Mathematical Morphology",
abstract = "In this paper we review the basic concepts of integral-geometry-based morphological image analysis. This approach yields an objective, numerical characterization of two- and three-dimensional patterns in terms of geometrical and topological descriptors called Minkowski functionals. We review its mathematical foundation and show that it is easy to put the theory into practice by presenting simple computer algorithms to perform the analysis. Illustrative examples are given of applications of this approach to simple lattice structures, random point sets and minimal surfaces. As a more advanced application we show how the technique can be used to obtain a morphological characterization of computer tomography images of metal foams.",
keywords = "3-PERIODIC MINIMAL-SURFACES, BICONTINUOUS CUBIC PHASES, DOUBLE-DIAMOND STRUCTURE, BLOCK-COPOLYMERS, MICRODOMAIN MORPHOLOGY, CURVED SURFACES, SPINODAL DECOMPOSITION, DIBLOCK COPOLYMERS, TRIBLOCK COPOLYMER, PERIODIC SURFACES",
author = "Michielsen, {K.F L} and {de Raedt}, H.A. and {de Hosson}, J.T.M.",
note = "Relation: http://www.rug.nl/zernike/ date_submitted:2007 Rights: University of Groningen. Zernike Institute for Advanced Materials",
year = "2002",
language = "English",
volume = "125",
series = "ADVANCES IN IMAGING AND ELECTRON PHYSICS",
publisher = "Academic Press",
pages = "119--194",
booktitle = "ADVANCES IN IMAGING AND ELECTRON PHYSICS, VOL 125",
}