Inverse Scale Space Theory for Inverse Problems
In this paper we derive scale space methods for inverse problems which satisfy the fundamental axioms of fidelity and causality and we provide numerical illustrations of the use of such methods in deblurring. These scale space methods are asymptotic formulations of the Tikhonov-Morozov regularization method. The analysis and illustrations relate difusion filtering methods in image processing to Tikhonov regularization methods in inverse theory.
KeywordsInverse Problem Regularization Method Scale Space Tikhonov Regularization Fundamental Axiom
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