On the rate of convergence of the preconditioned conjugate gradient method
Numerische Mathematik
The fast Fourier transform and its applications
The fast Fourier transform and its applications
Discrete cosine transform: algorithms, advantages, applications
Discrete cosine transform: algorithms, advantages, applications
Nonlinear total variation based noise removal algorithms
Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
SIAM Journal on Scientific Computing
Conjugate Gradient Methods for Toeplitz Systems
SIAM Review
SIAM Review
Rank-deficient and discrete ill-posed problems: numerical aspects of linear inversion
Rank-deficient and discrete ill-posed problems: numerical aspects of linear inversion
A Fast Algorithm for Deblurring Models with Neumann Boundary Conditions
SIAM Journal on Scientific Computing
Any Circulant-Like Preconditioner for Multilevel Matrices Is Not Superlinear
SIAM Journal on Matrix Analysis and Applications
Digital Image Processing
Digital Image Restoration
Computational Methods for Inverse Problems
Computational Methods for Inverse Problems
A Note on Antireflective Boundary Conditions and Fast Deblurring Models
SIAM Journal on Scientific Computing
Theoretical Computer Science - Algebraic and numerical algorithm
On the Regularizing Power of Multigrid-type Algorithms
SIAM Journal on Scientific Computing
Deblurring Images: Matrices, Spectra, and Filtering (Fundamentals of Algorithms 3) (Fundamentals of Algorithms)
Iterative Identification and Restoration of Images (The International Series in Engineering and Computer Science)
Deblurring Methods Using Antireflective Boundary Conditions
SIAM Journal on Scientific Computing
Acceleration methods for image restoration problem with different boundary conditions
Applied Numerical Mathematics
Cascadic Multiresolution Methods for Image Deblurring
SIAM Journal on Imaging Sciences
Boundary conditions and multiple-image re-blurring: the LBT case
Journal of Computational and Applied Mathematics - Special issue: Applied computational inverse problems
Fast deconvolution with approximated PSF by RSTLS with antireflective boundary conditions
Journal of Computational and Applied Mathematics
A boundary condition based deconvolution framework for image deblurring
Journal of Computational and Applied Mathematics
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This survey paper deals with the use of antireflective 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 noniterative regularization solvers when the noise is considered, both from the viewpoint of the computational cost and from the viewpoint of the quality of the reconstruction. In the latter case, we consider a reblurring approach that replaces the transposition operation with correlation. For many of the considered items, the anti-reflective algebra coming from the given boundary conditions is the optimal choice. Numerical experiments corroborating the previous statement and a conclusion section end the paper.