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Article overview
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Shapefinders: A new shape diagnostic for large scale structure | | Varun Sahni
; B.S. Sathyaprakash
; Sergei F. Shandarin
; | | Date: |
7 Dec 1997 | | Journal: | Astrophys.J. 495 (1998) L5-L8 | | Subject: | astro-ph | | Affiliation: | IUCAA), B.S. Sathyaprakash (Cardiff University of Wales) and Sergei F. Shandarin (University of Kansas | | Abstract: | We construct a set of shape-finders which determine shapes of compact surfaces (iso-density surfaces in galaxy surveys or N-body simulations) without fitting them to ellipsoidal configurations as done earlier. The new indicators arise from simple, geometrical considerations and are derived from 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. | | Source: | arXiv, astro-ph/9801053 | | Services: | Forum | Review | PDF | Favorites | |
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