A robust iterative algorithm for image restoration

Yuewei Liu, Weiping Lu

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)
56 Downloads (Pure)


We present a new image restoration method by combining iterative VanCittert algorithm with noise reduction modeling. Our approach enables decoupling between deblurring and denoising during the restoration process, so allows any well-established noise reduction operator to be implemented in our model, independent of the VanCittert deblurring operation. Such an approach has led to an analytic expression for error estimation of the restored images in our method as well as simple parameter setting for real applications, both of which are hard to attain in many regularization-based methods. Numerical experiments show that our method can achieve good balance between structure recovery and noise reduction, and perform close to the level of the state of the art method and favorably compared to many other methods.

Original languageEnglish
Article number53
JournalEURASIP Journal on Image and Video Processing
Publication statusPublished - 3 Aug 2017


  • Image restoration
  • Ill-posed problem
  • Iterative cost function
  • Regularized gradient
  • Noise reduction filter
  • Residual optimization


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