Hyperbolic wavelet transform: an efficient tool for multifractal analysis of anisotropic textures
Functional Analysis
2012-10-09 v1
Abstract
Global and local regularities of functions are analyzed in anisotropic function spaces, under a common framework, that of hyperbolic wavelet bases. Local and directional regularity features are characterized by means of global quantities constructed upon the coefficients of hyperbolic wavelet decompositions. A multifractal analysis is introduced, that jointly accounts for scale invariance and anisotropy. Its properties are studied in depth.
Cite
@article{arxiv.1210.1944,
title = {Hyperbolic wavelet transform: an efficient tool for multifractal analysis of anisotropic textures},
author = {Patrice Abry and Marianne Clausel and Stéphane Jaffard and Stéphane Roux and Béatrice Vedel},
journal= {arXiv preprint arXiv:1210.1944},
year = {2012}
}