93 citations · 513 across the 46 of their papers we have counts for
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p-exponent and p-leaders, Part II: Multifractal Analysis. Relations to Detrended Fluctuation Analysis
Roberto Leonarduzzi, Herwig Wendt, Patrice Abry +4
Multifractal analysis studies signals, functions, images or fields via the fluctuations of their local regularity along time or space, which capture crucial features of their tempo…
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…
On-the-fly Approximation of Multivariate Total Variation Minimization
Jordan Frecon, Nelly Pustelnik, Patrice Abry +1
In the context of change-point detection, addressed by Total Variation minimization strategies, an efficient on-the-fly algorithm has been designed leading to exact solutions for u…
Combining local regularity estimation and total variation optimization for scale-free texture segmentation
Nelly Pustelnik, Herwig Wendt, Patrice Abry +1
Texture segmentation constitutes a standard image processing task, crucial to many applications. The present contribution focuses on the particular subset of scale-free textures an…
Wavelet estimation for operator fractional Brownian motion
Patrice Abry, Gustavo Didier
Operator fractional Brownian motion (OFBM) is the natural vector-valued extension of the univariate fractional Brownian motion. Instead of a scalar parameter, the law of an OFBM sc…