DocumentCode
1555802
Title
Cosine transform based preconditioners for total variation deblurring
Author
Chan, Raymond H. ; Chan, Tony F. ; Wong, Chiu-Kwong
Author_Institution
Dept. of Math., Chinese Univ. of Hong Kong, Shatin, Hong Kong
Volume
8
Issue
10
fYear
1999
fDate
10/1/1999 12:00:00 AM
Firstpage
1472
Lastpage
1478
Abstract
In PDE image restoration problems, one has to invert operators which is a sum of a blurring operator and an elliptic operator with highly varying coefficient. We present a preconditioner for such operators, which can be used with the conjugate gradient (CG) method, and compare it with Vogel and Oman´s (see SIAM J. Sci. Stat. Comput., vol.17, p.227-38, 1996, and IEEE Trans. Image Processing, vol.7, p.813-24, 1998) product preconditioner
Keywords
conjugate gradient methods; discrete cosine transforms; image restoration; optimisation; PDE image restoration problems; blurring operator; conjugate gradient method; cosine transform based preconditioners; elliptic operator; general matrix; optimal cosine transform approximation; product preconditioner; total variation deblurring; varying coefficient; Anisotropic magnetoresistance; Character generation; Circuits; Image edge detection; Image processing; Image restoration; Laplace equations; Mathematics; Neural networks; Signal processing;
fLanguage
English
Journal_Title
Image Processing, IEEE Transactions on
Publisher
ieee
ISSN
1057-7149
Type
jour
DOI
10.1109/83.791976
Filename
791976
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