Nonlinear thresholding of multiresolution decompositions adapted to the presence of discontinuities |
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Authors: | Sergio Amat Jacques Liandrat |
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Institution: | 1. Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Cartagena, Spain 2. Centrale Marseille, LATP, 13451, Marseille, France
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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. |
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