54 citations · 104 across the 27 of their papers we have counts for
5 papers · 1 filter
Data driven sampling of oscillating signals
Brigitte Bidégaray-Fesquet, Marianne Clausel
The reduction of the number of samples is a key issue in signal processing for mobile applications. We investigate the link between the smoothness properties of a signal and the nu…
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…
A wavelet characterization for the upper global Holder index
Marianne Clausel--Lesourd, Nicolay Samuel
In this paper, we give a wavelet characterization of the upper global Holder index, which can be seen as the irregular counterpart of the usual global Holder index, for which a wav…
A weak local irregularity property in S^νspaces
Marianne Clausel--Lesourd, Samuel Nicolay
Although it has been shown that, from the prevalence point of view, the elements of the S^ νspaces are almost surely multifractal, we show here that they also almost surely satisfy…
Wavelets techniques for pointwise anti-Holderian irregularity
Marianne Clausel--Lesourd, Samuel Nicolay
In this paper, we introduce a notion of weak pointwise Holder regularity, starting from the de nition of the pointwise anti-Holder irregularity. Using this concept, a weak spectrum…