Geometry of the cosmic web: Minkowski Functionals from the Delaunay tessellation

Miguel A. Aragón-Calvo, Sergei F. Shandarin, Alexander Szalay

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

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.

Original languageEnglish (US)
Title of host publicationISVD 2010 - 7th International Symposium on Voronoi Diagrams in Science and Engineering
Pages235-243
Number of pages9
DOIs
StatePublished - 2010
Event7th International Symposium on Voronoi Diagrams in Science and Engineering, ISVD 2010 - Quebec City, QC, Canada
Duration: Jun 28 2010Jun 30 2010

Publication series

NameISVD 2010 - 7th International Symposium on Voronoi Diagrams in Science and Engineering

Conference

Conference7th International Symposium on Voronoi Diagrams in Science and Engineering, ISVD 2010
Country/TerritoryCanada
CityQuebec City, QC
Period6/28/106/30/10

Keywords

  • Cosmology
  • Delaunay tessellations
  • Minkowski Functionals

ASJC Scopus subject areas

  • Applied Mathematics
  • Discrete Mathematics and Combinatorics

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