Discrete wavelet diffusion for image denoising
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 354069904XFull text not available from this repository.
Official URL: http://dx.doi.org/10.1007/978-3-540-69905-7_3
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|
|Book Title:||Image and signal processing|
|Editor:||Elmoataz, A. and Lezoray, O. and Nouboud, F. and Mammass, D.|
|Page Range:||pp. 20-28|
|Status:||Not Peer Reviewed|
|Access rights to Published version:||Restricted or Subscription Access|
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