Anti-reflective boundary conditions and fast 2D deblurring models

被引：14

作者：

Donatelli, M ^{[1
]}

Estatico, C ^{[1
]}

Nagy, J ^{[1
]}

Perrone, L ^{[1
]}

Serra-Capizzano, S ^{[1
]}

机构：

[1] Univ Insubria, Dipartimento CCFFMM, I-22100 Como, Italy

来源：

ADVANCED SIGNAL PROCESSING ALGORITHMS, ARCHITECTURES, AND IMPLEMENTATIONS XIII | 2003年 / 5205卷

关键词：

cosine algebra of type III (DCT-III) and sine algebra of type I (tau algebra); reflecting and anti-reflecting BC; blurring operators;

D O I：

10.1117/12.503944

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

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 C-1 continuity at the border is guaranteed in the ID case. Here we give more details for the 2D case and we perform extensive numerical simulations which illustrate that the AR-BC, periodic and reflective BCs in certain applications. can be superior to Dirichlet.

引用

页码：380 / 389

页数：10

共 13 条

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[2]

[Anonymous], 1991, ITERATIVE IDENTIFICA

[3]

BINI D, 1983, LINEAR ALGEBRA APPL, V52-3, P99

[4]

Capizzano SS, 2002, LINEAR ALGEBRA APPL, V343, P303