Image deblurring with anti-reflective boundary conditions and non-symmetric point spread function is considered. Several iterative methods based on Krylov subspace projections, as well as Arnoldi-Tikhonov regularization methods, with reblurring right or left precondition- ers are compared. The aim of the preconditioner is not to accelerate the convergence, but to improve the quality of the computed solution and to increase the robustness of the regu- larization method. Right preconditioning in conjunction with methods based on the Arnoldi process are found to be robust and give high-quality restorations. In particular, when the observed image is contaminated by motion blur, our new method is much more effective than other approaches described in the literature, such as range restricted Arnoldi methods and the conjugate gradient method applied to the normal equations (implemented with the reblurring approach).

Arnoldi methods for image deblurring with anti-reflective boundary conditions

DONATELLI, MARCO;
2015-01-01

Abstract

Image deblurring with anti-reflective boundary conditions and non-symmetric point spread function is considered. Several iterative methods based on Krylov subspace projections, as well as Arnoldi-Tikhonov regularization methods, with reblurring right or left precondition- ers are compared. The aim of the preconditioner is not to accelerate the convergence, but to improve the quality of the computed solution and to increase the robustness of the regu- larization method. Right preconditioning in conjunction with methods based on the Arnoldi process are found to be robust and give high-quality restorations. In particular, when the observed image is contaminated by motion blur, our new method is much more effective than other approaches described in the literature, such as range restricted Arnoldi methods and the conjugate gradient method applied to the normal equations (implemented with the reblurring approach).
2015
http://www.sciencedirect.com/science/article/pii/S0096300314017123
Image deblurring, boundary conditions, iterative regularization methods
Donatelli, Marco; Martin, D.; Reichel, L.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/2004133
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