Robust Morphological Measures for Large-Scale Structure

T. Buchert

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arXiv · astro-ph/9412061

Robust Morphological Measures for Large-Scale Structure

T. Buchert

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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.

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T. Buchert. 1994-12-17. Robust Morphological Measures for Large-Scale Structure. https://arxiv.org/abs/astro-ph/9412061

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