Morphometry of Spatial Patterns

Details Morphometry of Spatial Patterns Morphometry of Spatial Patterns

2000-07-29

arxiv.org/abs/astro-ph/0007459v1

Physica A293 (2001) 592-604

Astronomy and Astrophysics

Astrophysics

14 pages, Latex, to appear in Physica A

Scientific paper

10.1016/S0378-4371(00)00612-9

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.

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