Cosine transform based preconditioners for total variation deblurring

Citation
Rh. Chan et al., Cosine transform based preconditioners for total variation deblurring, IEEE IM PR, 8(10), 1999, pp. 1472-1478
Citations number
17
Categorie Soggetti
Eletrical & Eletronics Engineeing
Journal title
IEEE TRANSACTIONS ON IMAGE PROCESSING
ISSN journal
10577149 → ACNP
Volume
8
Issue
10
Year of publication
1999
Pages
1472 - 1478
Database
ISI
SICI code
1057-7149(199910)8:10<1472:CTBPFT>2.0.ZU;2-T
Abstract
In PDE image restoration problems, one has to invert operators which is a s um of a blurring operator and an elliptic operator with highly varying coef ficient. 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 product preconditioner.