54 citations · 71 across the 10 of their papers we have counts for
11 papers
Regularity properties of random wavelet series
Céline Esser, Stéphane Jaffard, Béatrice Vedel
We study the regularity properties of random wavelet series constructed by multiplying the coefficients of a deterministic wavelet series with unbounded I.I.D. random variables. In…
Lacunary wavelet series on Cantor sets
Céline Esser, Béatrice Vedel
We provide a multifractal analysis of lacunary wavelet series on Cantor sets. Byintroducing a desynchronization between the scales of the wavelets and the scales of the steps of th…
Hyperbolic wavelet analysis of classical isotropic and anisotropic Besov-Sobolev spaces
M. Schäfer, T. Ullrich, B. Vedel
In this paper we introduce new function spaces which we call anisotropic hyperbolic Besov and Triebel-Lizorkin spaces. Their definition is based on a hyperbolic Littlewood-Paley an…
Un algorithme de débruitage Non-Local means espace-fréquence (A space-frequency Non-Local means image denoising algorithm)
Simon Postec, Jacques Froment, Béatrice Vedel
The efficiency of the Non-Local means (NLM) image denoising algorithm relies on the identification of similar original pixels from noisy similar patches. Hence fine details and low…
Non-Local means est un algorithme de débruitage local (Non-Local means is a local image denoising algorithm)
Simon Postec, Jacques Froment, Béatrice Vedel
The Non-Local Means (NLM) image denoising algorithm pushed the limits of denoising. But it introduced a new paradigm, according to which one could capture the similarity of images…
Self-Similar Anisotropic Texture Analysis: the Hyperbolic Wavelet Transform Contribution
S. G. Roux, M. Clausel, B. Vedel +2
Textures in images can often be well modeled using self-similar processes while they may at the same time display anisotropy. The present contribution thus aims at studying jointly…