Morphometry of Spatial Patterns
天体物理学
2009-10-31 v1 数据分析、统计与概率
摘要
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.
引用
@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}
}
备注
14 pages, Latex, to appear in Physica A