Vector- and tensor-valued descriptors for spatial patterns

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dc.creatorBeisbart, Claus
dc.creatorDahlke, Robert
dc.creatorMecke, Klaus
dc.creatorWagner, Herbert
dc.date2002-03-25
dc.date.accessioned2026-07-07T05:47:14Z
dc.date.available2026-07-07T05:47:14Z
dc.descriptionHigher-rank Minkowski valuations are efficient means for describing the geometry and connectivity of spatial patterns. We show how to extend the framework of the scalar Minkowski valuations to vector- and tensor-valued measures. The properties of these extensions are described in detail. We show the versatility of these measures by using simple toy models as well as real data. Our applications cover the morphology of galaxy clusters, the structure of spiral galaxies, and the geometry of molecules. Furthermore, we consider a physical ansatz closely related to higher-rank Minkowski valuations, the Rosenfeld functional known from density functional theory.
dc.description24 pages, to appear in K.Mecke and D.Stoyan, Morphology of Condensed Matter - Physics and Geometry of Spatially Complex Systems. Proceedings of the Second Wuppertal conference on Spatial Statistics and Statistical Physics, Lecture Notes in Physics, Springer
dc.identifierhttps://arxiv.org/abs/physics/0203072
dc.identifierhttp://arxiv.org/abs/physics/0203072
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/84630
dc.subjectData Analysis, Statistics and Probability
dc.subjectAstrophysics
dc.subjectStatistical Mechanics
dc.subjectGeneral Mathematics
dc.titleVector- and tensor-valued descriptors for spatial patterns
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