Multifractal analysis on the sphere

Emilie Koenig (1) , Pierre Chainais (1)

1 LIMOS - Laboratoire d'Informatique, de Modélisation et d'optimisation des Systèmes

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.

Domaines: Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]

Emilie Koenig, Pierre Chainais. Multifractal analysis on the sphere. Elmoataz et al., A. Proceedings of the Int. Conf. on Image and Signal Processing, Springer, pp.613-621, 2008. ⟨hal-00808628⟩