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- W2121329704 abstract "It is well known that wavelet transforms can be derived from stationary linear refinement subdivision schemes. We discuss a special nonlinear refinement subdivision scheme-median-interpolation. It is a nonlinear cousin of Deslauriers-Dubuc (1992) interpolation and of average-interpolation. The refinement scheme is based on constructing polynomials which interpolate median functionals of the underlying object. The refinement scheme can be deployed in a multiresolution fashion to construct nonlinear pyramid schemes and associated forward and inverse transforms. We discuss the basic properties of this transform and its possible use in wavelet de-noising schemes for badly non-Gaussian data. Analytic and computational results are presented to show that the nonlinear pyramid has a very different performance compared to traditional wavelets when coping with non-Gaussian data." @default.
- W2121329704 created "2016-06-24" @default.
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- W2121329704 date "2002-11-23" @default.
- W2121329704 modified "2023-09-27" @default.
- W2121329704 title "Robust nonlinear wavelet transform based on median-interpolation" @default.
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- W2121329704 doi "https://doi.org/10.1109/acssc.1997.680031" @default.
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