Robust Morphological Measures for Large-Scale Structure
Astrophysics
2007-05-23 v1
Abstract
A complete family of statistical descriptors for the morphology of large--scale structure based on Minkowski--Functionals is presented. These robust and significant measures can be used to characterize the local and global morphology of spatial patterns formed by a coverage of point sets which represent galaxy samples. Basic properties of these measures are highlighted and their relation to the `genus statistics' is discussed. Test models like a Poissonian point process and samples generated from a Voronoi--model are put into perspective.
Keywords
Cite
@article{arxiv.astro-ph/9412061,
title = {Robust Morphological Measures for Large-Scale Structure},
author = {T. Buchert},
journal= {arXiv preprint arXiv:astro-ph/9412061},
year = {2007}
}
Comments
8 pages, uuencoded compressed ps-file, 1 MByte