Cosine transform based preconditioned for total variation deblurring

Raymond H. CHAN*, Tony F. CHAN, Chiu Kwong WONG

*Corresponding author for this work

Research output: Journal PublicationsJournal Article (refereed)peer-review

53 Citations (Scopus)


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 product preconditioner.

Original languageEnglish
Pages (from-to)1472-1478
Number of pages7
JournalIEEE Transactions on Image Processing
Issue number10
Publication statusPublished - Oct 1999
Externally publishedYes


  • Image deblurring
  • Preconditioned conjugate gradient method
  • Total variation


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