Multivariate shrinkage functions for wavelet-based denoising

Levent Şendur, Ivan Selesnick

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The first nonlinear rules for wavelet based image denoising assume wavelet coefficients are independent. However it is well-known that there are strong dependencies between coefficients such as interscale and intrascale dependencies. We have introduced a non-Gaussian bivariate pdf which exploits the interscale dependencies between a coefficient and its parent [7, 8]. In this paper, how to extend this pdf in order to include the other dependencies will be discussed and in one example we will derive a multivariate shrinkage rule. The good performance of this new rule will be illustrated on an image denoising algorithm which capture also interscale dependencies.

Original languageEnglish (US)
Title of host publicationConference Record of the Asilomar Conference on Signals, Systems and Computers
EditorsM.B. Matthews
Pages953-957
Number of pages5
Volume1
StatePublished - 2002
EventThe Thirty-Sixth Asilomar Conference on Signals Systems and Computers - Pacific Groove, CA, United States
Duration: Nov 3 2002Nov 6 2002

Other

OtherThe Thirty-Sixth Asilomar Conference on Signals Systems and Computers
CountryUnited States
CityPacific Groove, CA
Period11/3/0211/6/02

Fingerprint

Image denoising

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Signal Processing
  • Hardware and Architecture

Cite this

Şendur, L., & Selesnick, I. (2002). Multivariate shrinkage functions for wavelet-based denoising. In M. B. Matthews (Ed.), Conference Record of the Asilomar Conference on Signals, Systems and Computers (Vol. 1, pp. 953-957)

Multivariate shrinkage functions for wavelet-based denoising. / Şendur, Levent; Selesnick, Ivan.

Conference Record of the Asilomar Conference on Signals, Systems and Computers. ed. / M.B. Matthews. Vol. 1 2002. p. 953-957.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Şendur, L & Selesnick, I 2002, Multivariate shrinkage functions for wavelet-based denoising. in MB Matthews (ed.), Conference Record of the Asilomar Conference on Signals, Systems and Computers. vol. 1, pp. 953-957, The Thirty-Sixth Asilomar Conference on Signals Systems and Computers, Pacific Groove, CA, United States, 11/3/02.
Şendur L, Selesnick I. Multivariate shrinkage functions for wavelet-based denoising. In Matthews MB, editor, Conference Record of the Asilomar Conference on Signals, Systems and Computers. Vol. 1. 2002. p. 953-957
Şendur, Levent ; Selesnick, Ivan. / Multivariate shrinkage functions for wavelet-based denoising. Conference Record of the Asilomar Conference on Signals, Systems and Computers. editor / M.B. Matthews. Vol. 1 2002. pp. 953-957
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