Nonlinear thresholding of multiresolution decompositions adapted to the presence of discontinuities

نویسندگان

  • Sergio Amat
  • Jacques Liandrat
چکیده

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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عنوان ژورنال:
  • Adv. Comput. Math.

دوره 38  شماره 

صفحات  -

تاریخ انتشار 2013