Cascadic Multiresolution Methods for Image Deblurring

@article{Morigi2008CascadicMM,
  title={Cascadic Multiresolution Methods for Image Deblurring},
  author={Serena Morigi and Lothar Reichel and Fiorella Sgallari and Andriy Shyshkov},
  journal={SIAM J. Imaging Sciences},
  year={2008},
  volume={1},
  pages={51-74}
}
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. 

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