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Shapefinders: a new shape diagnostic for large-scale structure

Sahni, Varun, Sathyaprakash, Bangalore Suryanarayana ORCID: https://orcid.org/0000-0003-3845-7586 and Shandarin, Sergei F. 1998. Shapefinders: a new shape diagnostic for large-scale structure. Astrophysical Journal 495 (1) , L5-L8. 10.1086/311214

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Abstract

We construct a set of shapefinders used to determine the shapes of compact surfaces (isodensity surfaces in galaxy surveys or N-body simulations) without fitting them to ellipsoidal configurations, as has been done earlier. The new indicators, based on the Minkowski functionals, arise from simple, geometrical considerations and are derived from the fundamental properties of a surface such as its volume, surface area, integrated mean curvature, and connectivity characterized by the genus. These "shapefinders" could be used to diagnose the presence of filaments, pancakes, and ribbons in large-scale structure. Their lower dimensional generalization may be useful for the study of two-dimensional distributions such as temperature maps of the cosmic microwave background.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Physics and Astronomy
Subjects: Q Science > QB Astronomy
Publisher: IOP Publishing
ISSN: 0004-637X
Last Modified: 24 Oct 2022 10:49
URI: https://orca.cardiff.ac.uk/id/eprint/45974

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