Title :
Wavelet shrinkage with correlated wavelet coefficients
Author :
Azimifar, Z. ; Fieguth, P. ; Jernigan, E.
Author_Institution :
Dept. of Syst. Design Eng., Waterloo Univ., Ont., Canada
fDate :
6/23/1905 12:00:00 AM
Abstract :
This paper investigates the statistical characterization of multiscale wavelet coefficients corresponding to random signals and images. Virtually all approaches to wavelet shrinkage model the wavelet coefficients as independent; we challenge that assumption and demonstrate several cases where substantial correlations may be present in the wavelet domain. In particular, the correlation between scales can be surprisingly substantial, even for pixels separated by several scales. Our goal is to develop an efficient random field model describing these statistical correlations, and demonstrate its effectiveness in the context of Bayesian wavelet shrinkage for signal and image denoising
Keywords :
Bayes methods; image resolution; smoothing methods; statistical analysis; wavelet transforms; Bayesian wavelet shrinkage; correlated wavelet coefficients; image denoising; multiscale wavelet coefficients; random field model; signal denoising; statistical correlations; Bayesian methods; Context modeling; Design engineering; Hidden Markov models; Image denoising; Systems engineering and theory; Wavelet analysis; Wavelet coefficients; Wavelet domain; Wavelet transforms;
Conference_Titel :
Image Processing, 2001. Proceedings. 2001 International Conference on
Conference_Location :
Thessaloniki
Print_ISBN :
0-7803-6725-1
DOI :
10.1109/ICIP.2001.958076