Geometry of the Cosmic Web: Minkowski Functionals from the Delaunay Tessellation

Autor:	Aragon-Calvo, Miguel A., Shandarin, Sergei F., Szalay, Alexander
Rok vydání:	2010
Předmět:	Astrophysics - Cosmology and Extragalactic Astrophysics
Druh dokumentu:	Working Paper
Popis:	We present a novel method for computing the Minkowski Functionals from isodensity surfaces extracted directly from the Delaunay tessellation of a point distribution. This is an important step forward compared to the previous cosmological studies when the isodensity surface was built in the field on a uniform cubic grid and therefore having a uniform spatial resolution. The density field representing a particular interest in cosmology is the density of galaxies which is obtained from the highly nonuniform distribution of the galaxy positions. Therefore, the constraints caused by the spatially uniform grid put severe limitations on the studies of the geometry and shapes of the large-scale objects: superclusters and voids of galaxies. Our technique potentially is able to eliminate most of these limitations. The method is tested with some simple geometric models and an application to the density field from an N-body simulation is shown. Comment: Accepted paper ISVD2010, Quebec, Canada. IEEE CPS, ed. M.A. Mostafavi
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1006.4178 Zobrazit plný text záznamu View this record from Arxiv