NDLI: Robust nonlinear wavelet transform based on median-interpolation

Content Provider	IEEE Xplore Digital Library
Author	Donoho, D.L. Yu, T.P.Y.
Copyright Year	1998
Description	Author affiliation: Dept. of Stat., Stanford Univ., CA, USA (Donoho, D.L.)
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.
Starting Page	75
Ending Page	79
File Size	504326
Page Count	5
File Format	PDF
ISBN	0818683163
ISSN	10586393
DOI	10.1109/ACSSC.1997.680031
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1997-11-02
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Wavelet transforms Interpolation Polynomials Ear Lagrangian functions Buildings
Content Type	Text
Resource Type	Article
Subject	Signal Processing Computer Networks and Communications

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