Morphometry of Spatial Patterns
Astrophysics
2009-10-31 v1 Data Analysis, Statistics and Probability
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
Cite
@article{arxiv.astro-ph/0007459,
title = {Morphometry of Spatial Patterns},
author = {C. Beisbart and T. Buchert and H. Wagner},
journal= {arXiv preprint arXiv:astro-ph/0007459},
year = {2009}
}
Comments
14 pages, Latex, to appear in Physica A