Coefficients dominants de la Transformée hyperbolique en ondelettes 2D : Application à l'analyse de textures invariantes d' ́echelle, multifractales et anisotropes
Résumé
Expanding a recent work on the study of anisotropic self-similar processes [11, 1, 10], the focus here is on the analysis of processes with anisotropic multifractal properties. We first propose a model of anisotropic multifractal processes. Then we generalize the definition of leader coefficients on the hyperbolic wavelet transform. We then propose a methodology for the joint estimation of the anisotropy and the multifractal spectrum. We also show that classical analysis based on the dyadic wavelet transform fail to estimate this multifractal spectrum.