Cascadic Multiresolution Methods for Image Deblurring

Authors:
Serena Morigi;Lothar Reichel;Fiorella Sgallari;Andriy Shyshkov
Affiliations:
morigi@dm.unibo.it and sgallari@dm.unibo.it;reichel@math.kent.edu and ashyshko@math.kent.edu;-;-
Venue:
SIAM Journal on Imaging Sciences
Year:
2008

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Abstract

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.