Abstract
With the development of Wavelet Theory in Image Processing, persons developed all sorts of wavelet de-noising algorithms. Especially, Lifting scheme which is the basis constructed tool for the second generation wavelet and it makes us interpret the basis theory in a simple method is commended by JPEG 2000, persons put more attention to use it to image processing. This paper first described the principle of several wavelet denoising algorithms and compared with these algorithms. Based on these, the paper gives three kinds of improved methods at last. The simulation experiment shows that it is effective for image de-noising.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Mallat, S., Zhong, S.: Characterization of signals from multiscale edges. IEEE Trans. on PAMI 14(7), 710–732 (1992)
Mallat, S., Hwang, W.L.: Singularity detection and processing with wavelets. IEEE Trans. on IT 38(2), 612–643 (1992)
Xu, Y., et al.: Wavelet transform domain filters: A spatially selective noise filtration technique. IEEE Trans. on IP 3(6), 217–237 (1994)
Donoho, D.L., Johnstone, I.: Ideal spatial adaptation via wavelet shrinkage. Biometrika 12(81), 425–455 (1994)
Coifman, R.R., Donoho, D.L.: Translation-invariant de-noising. In: Wavelets and Statistics. Springer Lecture Notes in Statistics, vol. 103, pp. 125–150. Springer, New York (1994)
Sweldens, W.: The lifting scheme: A construction of second generation wavelets. SIAM J. Math. Anal. 29(2), 511–546 (1997)
Cheng, L.-Z., Wang, H.-X., Luo, Y.: Theory and application of wavelet. Publishing Company of Science, Beijing (2004); Yu, Z. X., Chen, H. T., Wang, Y. J.: Research on Markov Delay Characteristic-Based Closed Loop Network Control System. Control Theory and Applications, 19(2), 263–267 (2002)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Lin, Zx. (2012). Several of Improved Algorithms for Wavelet De-noising. In: Jin, D., Lin, S. (eds) Advances in Electronic Engineering, Communication and Management Vol.1. Lecture Notes in Electrical Engineering, vol 139. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27287-5_98
Download citation
DOI: https://doi.org/10.1007/978-3-642-27287-5_98
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-27286-8
Online ISBN: 978-3-642-27287-5
eBook Packages: EngineeringEngineering (R0)