Morphometry of spatial patterns

Claus Beisbart, Thomas Buchert and Herbert Wagner

Physica A: Statistical Mechanics and its Applications, 2001, vol. 293, issue 3, 592-604

Abstract: Minkowski functionals constitute a family of order parameters which discriminate spatial patterns according to size, shape, and connectivity. Here we point out that these scalar descriptors can be complemented by vector-valued curvature measures also known as Quermaß vectors. Using examples of galaxy clusters, we demonstrate that the Quermaß vectors provide additional morphological information on directional features and symmetries displayed by spatial data.

Keywords: Methods; Morphology; Integral geometry; Cluster substructure; Large-scale structure (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:293:y:2001:i:3:p:592-604

DOI: 10.1016/S0378-4371(00)00612-9

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