Anti-reflective boundary conditions and fast 2D deblurring models

Marco Donatelli; Claudio Estatico; James G. Nagy; Lisa Perrone; Stefano Serra-Capizzano

doi:10.1117/12.503944

24 December 2003 Anti-reflective boundary conditions and fast 2D deblurring models

Marco Donatelli, Claudio Estatico, James G. Nagy, Lisa Perrone, Stefano Serra-Capizzano

Proceedings Volume 5205, Advanced Signal Processing Algorithms, Architectures, and Implementations XIII; (2003) https://doi.org/10.1117/12.503944
Event: Optical Science and Technology, SPIE's 48th Annual Meeting, 2003, San Diego, California, United States

Abstract

Serra-Capizzano recently introduced anti-reflecting boundary conditions (AR-BC) for blurring models: the idea seems promising both from the computational and approximation viewpoint. The key point is that, under certain symmetry conditions, the AR-BC matrices can be essentially simultaneously diagonalized by the (fast) sine transform DST I and, moreover, a C¹ continuity at the border is guaranteed in the 1D case. Here we give more details for the 2D case and we perform extensive numerical simulations which illustrate that the AR-BC can be superior to Dirichlet, periodic and reflective BCs in certain applications.

Citation Download Citation

Marco Donatelli, Claudio Estatico, James G. Nagy, Lisa Perrone, and Stefano Serra-Capizzano "Anti-reflective boundary conditions and fast 2D deblurring models", Proc. SPIE 5205, Advanced Signal Processing Algorithms, Architectures, and Implementations XIII, (24 December 2003); https://doi.org/10.1117/12.503944

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