Analysis of the Galaxy Distribution using Multiscale Methods

Galaxies are arranged in interconnected walls and fllaments 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 difierent cosmological models. We present in this paper preliminary results relative to the use of new statistical tools using the 3Da trous algorithm, 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, fllamentarity, sheetedness, and voidedness of a dataset.