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Discrete wavelet diffusion for image denoising
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Rajpoot, Kashif, 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, Volume 5099 . Springer-Verlag, pp. 20-28. ISBN 9783540699040
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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 | ||||
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Subjects: | Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Computer Science | ||||
Series Name: | Lecture Notes in Computer Science | ||||
Publisher: | Springer-Verlag | ||||
ISBN: | 9783540699040 | ||||
Book Title: | Image and signal processing | ||||
Editor: | Elmoataz, A. and Lezoray, O. and Nouboud, F. and Mammass, D. | ||||
Official Date: | 2008 | ||||
Dates: |
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Volume: | Volume 5099 | ||||
Page Range: | pp. 20-28 | ||||
DOI: | 10.1007/978-3-540-69905-7_3 | ||||
Status: | Not Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Date of first compliant deposit: | 21 December 2015 |
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