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Article Dans Une Revue Advances in Computational Mathematics Année : 2013

Nonlinear thresholding of multiresolution decompositions adapted to the presence of discontinuities

Résumé

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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Dates et versions

hal-01266099 , version 1 (03-02-2016)

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  • HAL Id : hal-01266099 , version 1

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Sergio Amat, Jacques Liandrat. Nonlinear thresholding of multiresolution decompositions adapted to the presence of discontinuities. Advances in Computational Mathematics, 2013. ⟨hal-01266099⟩
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