Cascadic Multiresolution Methods for Image Deblurring

  title={Cascadic Multiresolution Methods for Image Deblurring},
  author={Serena Morigi and Lothar Reichel and Fiorella Sgallari and Andriy Shyshkov},
  journal={SIAM J. Imaging Sciences},
This paper investigates the use of cascadic multiresolution methods for image deblurring. Iterations with a conjugate gradient-type method are carried out on each level, and terminated by a stopping rule based on the discrepancy principle. Prolongation is carried out by nonlinear edge-preserving operators, which are defined via PDEs associated with Perona–Malik or total variation-type models. Computed examples demonstrate the effectiveness of the methods proposed. 


Publications citing this paper.
Showing 1-10 of 19 extracted citations


Publications referenced by this paper.
Showing 1-10 of 24 references

On rules for stopping the conjugate gradient type methods in ill-posed problems

  • U. Hämarik, R. Palm
  • Math. Model. Anal., 12
  • 2007
1 Excerpt

Iterative methods for ill-posed problems and semiconvergent sequences

  • S. Morigi, L. Reichel, F. Sgallari, F. Zama
  • J. Comput. Appl. Math., 193
  • 2006
1 Excerpt

Similar Papers

Loading similar papers…