Abstract
The soft-thresholding and the hard-thresholding method to estimate wavelet coefficients in wavelet threshold denoising are firstly discussed. To avoid the discontinuity in the hard-thresholding and biased estimation in the soft-thresholding, three novel models of threshold estimator are presented, which are polynomial interpolating thresholding method, compromising method of hard- and soft-thresholding and modulus square thresholding method respectively. They all overcome the disadvantages of the hard- and soft-thresholding method. Finally, an example is given and the experimental results showt hat the improved techniques presented in this paper are efficient.
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. and Zhong S. Characterization of signals from multiscale edges. IEEE Trans. on PAMI, 1992, 14(7): 710–732
Mallat S. and Hwang W. L. Singularity detection and processing with wavelets. IEEE Trans. on IT, 1992, 38(2): 617–643
Donoho D. L. De-noising by soft-thresholding. IEEE Trans. on IT., 1995, 41(3):613–627
Donoho D. L. and Johnstone I. M. Ideal spatial adaption via wavelet shrinkage. Biometrika, 1994, 81:425–455
Jansen M. and Bultheel A. Multiple wavelet threshold estimation by generalized cross validation for Images with correlated noise. IEEE Trans. on IP., 1999, 8(7):947–953
Nowak R. D. and Baraniuk R. G. Wavelet-domain filtering for photon imaging systems. IEEE Trans. on IP., 1999, 8(5):666–678
Ching P. C., So H. C. and Wu S. Q. On wavelet denoising and its applications to time delay estimation. IEEE Trans. on SP., 1999, 47(10):2879–288
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Guoxiang, S., Ruizhen, Z. (2001). Three Novel Models of Threshold Estimator for Wavelet Coefficients. In: Tang, Y.Y., Yuen, P.C., Li, Ch., Wickerhauser, V. (eds) Wavelet Analysis and Its Applications. WAA 2001. Lecture Notes in Computer Science, vol 2251. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45333-4_19
Download citation
DOI: https://doi.org/10.1007/3-540-45333-4_19
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-43034-6
Online ISBN: 978-3-540-45333-8
eBook Packages: Springer Book Archive