Lookup NU author(s): Dr Irina Makarenko,
Dr Andrew Fletcher,
Professor Anvar Shukurov
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The two aspect ratios of randomly oriented triaxial ellipsoids (representing isosurfaces of an isotropic 3D random field) can be determined from a single 2D cross-section of their sample using the probability density function (PDF) of the filamentarity F of individual structures seen in cross-section (F = 0 for a circle and F = 1 for a line). The PDF of F has a robust form with a sharp maximum and truncation at larger F, and the most probable and maximum values of F are uniquely and simply related to the two aspect ratios of the triaxial ellipsoids. The parameters of triaxial ellipsoids of randomly distributed sizes can still be recovered from the PDF of F. This method is applicable to many shape-recognition problems, here illustrated by the neutral hydrogen density in the turbulent interstellar medium of the Milky Way. The gas distribution is shown to be filamentary with axis ratios of about 1:2:20.
Author(s): Makarenko I, Fletcher A, Shukurov A
Publication type: Article
Publication status: Published
Journal: Monthly Notices of the Royal Astonomical Society
Print publication date: 11/02/2015
Online publication date: 10/12/2014
Acceptance date: 22/10/2014
ISSN (print): 0035-8711
ISSN (electronic): 1365-2966
Publisher: Oxford University Press
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