Multifractal Analysis on the Sphere

Authors:
Emilie Koenig;Pierre Chainais
Affiliations:
LIMOS UMR 6158, University of Clermont-Ferrand II, Aubire Cedex, France 63170;LIMOS UMR 6158, University of Clermont-Ferrand II, Aubire Cedex, France 63170
Venue:
ICISP '08 Proceedings of the 3rd international conference on Image and Signal Processing
Year:
2008

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Abstract

A new generation of instruments in astrophysics or vision now provide spherical data. These spherical data may present a self-similarity property while no spherical analysis tool is yet available to characterize this property. In this paper we present a first numerical study of the extension of multifractal analysis onto the sphere using spherical wavelet transforms. We use a model of multifractal spherical textures as a reference to test this approach. The results of the spherical analysis appear qualitatively satisfactory but not as accurate as those of the usual 2D multifractal analysis.