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Nonlinear thresholding of multiresolution decompositions adapted to the presence of discontinuities
Authors:Sergio Amat  Jacques Liandrat
Institution:1. Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Cartagena, Spain
2. Centrale Marseille, LATP, 13451, Marseille, France
Abstract:A new nonlinear representation of multiresolution decompositions and new thresholding adapted to the presence of discontinuities are presented and analyzed. They are based on a nonlinear modification of the multiresolution details coming from an initial (linear or nonlinear) scheme and on a data dependent thresholding. Stability results are derived. Numerical advantages are demonstrated on various numerical experiments.
Keywords:
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