Vector- and tensor-valued descriptors for spatial patterns

Details Vector- and tensor-valued descriptors for spatial patterns Vector- and tensor-valued descriptors for spatial patterns

2002-03-25

arxiv.org/abs/physics/0203072v1

Physics

Data Analysis, Statistics and Probability

24 pages, to appear in K.Mecke and D.Stoyan, Morphology of Condensed Matter - Physics and Geometry of Spatially Complex System

Scientific paper

Higher-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.

Affiliated with

Also associated with

No associations

Rating

Vector- and tensor-valued descriptors for spatial patterns does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Vector- and tensor-valued descriptors for spatial patterns, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Vector- and tensor-valued descriptors for spatial patterns will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-692181