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Discrete wavelet diffusion for image denoising

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Rajpoot, K., Rajpoot, Nasir M. (Nasir Mahmood) and Noble, J. (2008) Discrete wavelet diffusion for image denoising. In: Elmoataz, A. and Lezoray, O. and Nouboud, F. and Mammass, D., (eds.) Image and signal processing. Lecture Notes in Computer Science (5099). Springer-Verlag, pp. 20-28. ISBN 354069904X

Full text not available from this repository.
Official URL: http://dx.doi.org/10.1007/978-3-540-69905-7_3

Abstract

Nonlinear diffusion, proposed by Perona and Malik, is a well-known method for image denoising with edge preserving characteristics. Recently, nonlinear diffusion has been shown to be equivalent to iterative wavelet shrinkage, but only for (1) Mallat-Zhong dyadic wavelet transform and (2) Haar wavelet transform. In this paper, we generalize the equivalence of nonlinear diffusion to non-linear shrinkage in the standard discrete wavelet transform (DWT) domain. Two of the major advantages of the standard DWT are its simplicity (as compared to 1) and its potential to benefit from a greater range of orthogonal and biorthogonal filters (as compared to both 1 and 2). We also extend the wavelet diffusion implementation to multiple scales. The qualitative and quantitative results shown for a variety of images contaminated with noise demonstrate the promise of the proposed standard wavelet diffusion.

Item Type: Book Item
Subjects: Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software
Divisions: Faculty of Science > Computer Science
Series Name: Lecture Notes in Computer Science
Publisher: Springer-Verlag
ISBN: 354069904X
Book Title: Image and signal processing
Editor: Elmoataz, A. and Lezoray, O. and Nouboud, F. and Mammass, D.
Date: 2008
Number: 5099
Page Range: pp. 20-28
Identification Number: 10.1007/978-3-540-69905-7_3
Status: Not Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
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URI: http://wrap.warwick.ac.uk/id/eprint/47626

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