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Proceedings Paper

Anti-reflective boundary conditions and fast 2D deblurring models
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Paper 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.

Paper Details

Date Published: 24 December 2003
PDF: 10 pages
Proc. SPIE 5205, Advanced Signal Processing Algorithms, Architectures, and Implementations XIII, (24 December 2003); doi: 10.1117/12.503944
Show Author Affiliations
Marco Donatelli, Univ. degli Studi dell'Insubria (Italy)
Claudio Estatico, Univ. degli Studi di Genova (Italy)
James G. Nagy, Emory Univ. (United States)
Lisa Perrone, Emory Univ. (United States)
Stefano Serra-Capizzano, Univ. degli Studi dell'Insubria (Italy)

Published in SPIE Proceedings Vol. 5205:
Advanced Signal Processing Algorithms, Architectures, and Implementations XIII
Franklin T. Luk, Editor(s)

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