54 citations · 137 across the 19 of their papers we have counts for
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A Generalized Multifractal Formalism for the Estimation of Nonconcave Multifractal Spectra
Roberto Leonarduzzi, Patrice Abry, Herwig Wendt +2
Multifractal analysis has become a powerful signal processing tool that characterizes signals or images via the fluctuations of their pointwise regularity, quantified theoretically…
Divergence of wavelet series: A multifractal analysis
Céline Esser, Stéphane Jaffard
We show the relevance of a multifractal-type analysis for pointwise convergence and divergence properties of wavelet series: Depending on the sequence space which the wavelet coeff…
Multifractal analysis based on p-exponents and lacunarity exponents
Patrice Abry, Stéphane Jaffard, Roberto Leonarduzzi +2
Many examples of signals and images cannot be modeled by locally bounded functions, so that the standard multifractal analysis, based on the Hölder exponent, is not feasible. We pr…
Hyperbolic wavelet transform: an efficient tool for multifractal analysis of anisotropic textures
Patrice Abry, Marianne Clausel, Stéphane Jaffard +2
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…
Irregularities and Scaling in Signal and Image Processing: Multifractal Analysis
Patrice Abry, Stéphane Jaffard, Herwig Wendt
B. Mandelbrot gave a new birth to the notions of scale invariance, selfsimilarity and non-integer dimensions, gathering them as the founding corner-stones used to build up fractal…