Antireflective Boundary Conditions for Deblurring Problems
نویسندگان
چکیده
منابع مشابه
Antireflective Boundary Conditions for Deblurring Problems
This survey paper deals with the use of anti-reflective boundary conditions for deblurring problems where the issues that we consider are: the precision of the reconstruction when the noise is not present, the linear algebra related to these boundary conditions, the iterative and non-iterative regularization solvers when the noise is considered, both from the viewpoint of the computational cost...
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Abstract. In this note we consider the numerical solution of selfadjoint deblurring problems on bounded intervals. For these problems it has recently been shown that appropriate modelling of the solution near the boundary of the interval may significantly improve the numerical reconstructions. Among the alternatives the so-called antireflective boundary condition appears to be the best known ch...
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In recent works several authors have proposed the use of precise boundary conditions (BCs) for blurring models and they proved that the resulting choice (Neumann or reflective, antireflective) leads to fast algorithms both for deblurring and for detecting the regularization parameters in presence of noise. When considering a symmetric point spread function, the crucial fact is that such BCs are...
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Image deblurring with anti-reflective boundary conditions and a non-symmetric point spread function is considered. Several iterative methods based on Krylov subspace projections, as well as Arnoldi-Tikhonov regularization methods, with reblurring right or left preconditioners are compared. The aim of the preconditioner is not to accelerate the convergence, but to improve the quality of the comp...
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Blur removal is an important problem in signal and image processing. The blurring matrices obtained by using the zero boundary condition (corresponding to assuming dark background outside the scene) are Toeplitz matrices for one-dimensional problems and block-Toeplitz–Toeplitzblock matrices for two-dimensional cases. They are computationally intensive to invert especially in the block case. If ...
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ژورنال
عنوان ژورنال: Journal of Electrical and Computer Engineering
سال: 2010
ISSN: 2090-0147,2090-0155
DOI: 10.1155/2010/241467