Analysis of the Spatial Distribution of Galaxies by Multiscale Methods

Details Analysis of the Spatial Distribution of Galaxies by Multiscale Methods Analysis of the Spatial Distribution of Galaxies by Multiscale Methods

2004-06-18

arxiv.org/abs/astro-ph/0406425v1

Astronomy and Astrophysics

Astrophysics

26 pages, 20 figures. Submitted to EURASIP Journal on Applied Signal Processing (special issue on "Applications of Signal Proc

Scientific paper

Galaxies are arranged in interconnected walls and filaments forming a cosmic web encompassing huge, nearly empty, regions between the structures. Many statistical methods have been proposed in the past in order to describe the galaxy distribution and discriminate the different cosmological models. We present in this paper results relative to the use of new statistical tools using the 3D isotropic undecimated wavelet transform, the 3D ridgelet transform and the 3D beamlet transform. We show that such multiscale methods produce a new way to measure in a coherent and statistically reliable way the degree of clustering, filamentarity, sheetedness, and voidedness of a dataset

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