DocumentCode
1524080
Title
Multiple wavelet threshold estimation by generalized cross validation for images with correlated noise
Author
Jansen, Maarten ; Bultheel, Adhemar
Author_Institution
Dept. of Comput. Sci., Katholieke Univ., Leuven, Heverlee, Belgium
Volume
8
Issue
7
fYear
1999
fDate
7/1/1999 12:00:00 AM
Firstpage
947
Lastpage
953
Abstract
Denoising algorithms based on wavelet thresholding replace small wavelet coefficients by zero and keep or shrink the coefficients with absolute value above the threshold. The optimal threshold minimizes the error of the result as compared to the unknown, exact data. To estimate this optimal threshold, we use generalized cross validation. This procedure does not require an estimation for the noise energy. Originally, this method assumes uncorrelated noise. In this paper, we describe how we can extend it to images with correlated noise
Keywords
estimation theory; image enhancement; interference suppression; mean square error methods; noise; wavelet transforms; correlated noise; denoising algorithms; error; generalized cross validation; multiple wavelet threshold estimation; noise energy; optimal threshold; small wavelet coefficients; uncorrelated noise; Bayesian methods; Computer science; Continuous wavelet transforms; Image enhancement; Libraries; Noise reduction; Wavelet coefficients; Wavelet domain; Wavelet transforms;
fLanguage
English
Journal_Title
Image Processing, IEEE Transactions on
Publisher
ieee
ISSN
1057-7149
Type
jour
DOI
10.1109/83.772237
Filename
772237
Link To Document