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Title:
Morphology of the Galaxy Distribution from Wavelet Denoising
Authors:
Martínez, Vicent J.; Starck, Jean-Luc; Saar, Enn; Donoho, David L.; Reynolds, Simon C.; de la Cruz, Pablo; Paredes, Silvestre
Affiliation:
AA(Observatori Astronómic, Universitat de València, Apartat de Correus 22085, E-46071 València, Spain ), AB(Commissariat a l'Energie Atomique-Saclay, DAPNIA/SEDI-SAP, Service d'Astrophysique, F-91191 Gif-sur-Yvette, France ), AC(Tartu Observatoorium, Tõravere, 61602, Estonia ), AD(Department of Statistics, Stanford University, Sequoia Hall, Stanford, CA 94305 ), AE(Blackett Laboratory, Imperial College London, SW7 2AZ, UK ), AF(Observatorio Astronómico, Universidad de Valencia, Apartado de Correos 22085, E-46071 Valencia, Spain ), AG(Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, 30203 Cartagena, Spain )
Publication:
The Astrophysical Journal, Volume 634, Issue 2, pp. 744-755. (ApJ Homepage)
Publication Date:
11/2005
Origin:
UCP
Astronomy Keywords:
Cosmology: Large-Scale Structure of Universe, Methods: Statistical
DOI:
10.1086/497125
Bibliographic Code:
2005ApJ...634..744M

Abstract

We have developed a method based on wavelets to obtain the true underlying smooth density from a point distribution. The goal has been to reconstruct the density field in an optimal way, ensuring that the morphology of the reconstructed field reflects the true underlying morphology of the point field, which, as the galaxy distribution, has a genuinely multiscale structure, with near-singular behavior on sheets, filaments, and hot spots. If the discrete distributions are smoothed using Gaussian filters, the morphological properties tend to be closer to those expected for a Gaussian field. The use of wavelet denoising provides us with a unique and more accurate morphological description.
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