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math.FA2018
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…
math.FA2015
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…