Hyperbolic wavelet transform: an efficient tool for multifractal   analysis of anisotropic textures
  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. 
Patrice Abry and Marianne Clausel and St\'ephane Jaffard and   St\'ephane Roux and B\'eatrice Vedel
math.FA