Cascadic Multiresolution Methods for Image Deblurring
Serena Morigi, Lothar Reichel, Fiorella Sgallari, Andriy Shyshkov · SIAM Journal on Imaging Sciences · 2008
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.