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Nonlinear and non-separable multiscale representations based on Lipschitz perturbation
Authors:Cédric Gérot  Basarab Mateï  Sylvain Meignen
Affiliation:1. GIPSA Laboratory, University of Grenoble, 961, rue de la Houille Blanche, BP 46, 38402 Grenoble cedex, France;2. LAGA Laboratory, Paris XIII University, 99, avenue Jean-Batiste Clément, 93430 Villetaneuse, France;3. LJK Laboratory, University of Grenoble, 51, rue des mathématiques, campus de Saint Martin d?Hères, BP 53, 38041 Grenoble cedex 09, France
Abstract:In this Note, we present a new formalism for nonlinear and non-separable multiscale representations. The new formalism we propose brings about similarities between existing nonlinear multiscale representations and also allows us to alleviate the classical hypotheses made to prove the convergence of the multiscale representations.
Keywords:
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