Inverse scale space theory for inverse problems. (English) Zbl 0991.68132
Kerckhove, Michael (ed.), Scale-space and morphology in computer vision. 3rd international conference scale-space 2001, Vancouver, Canada, July 7-8, 2001. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 2106, 317-325 (2001).
Summary: 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 diffusion filtering methods in image processing to Tikhonov regularization methods in inverse theory.
For the entire collection see [Zbl 0969.00076].
For the entire collection see [Zbl 0969.00076].
MSC:
| 68U10 | Computing methodologies for image processing |
| 68T45 | Machine vision and scene understanding |
