Synthetic boundary conditions for image deblurring

DOI10.1016/j.laa.2009.12.021zbMath1210.94013OpenAlexW2060548642MaRDI QIDQ2431145

Ying-Wai (Daniel) Fan, James G. Nagy

Publication date: 11 April 2011

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2009.12.021

zbMATH Keywords

inverse problemsToeplitz matrixTikhonov regularizationill-posed problemsDCT

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Linear operators and ill-posed problems, regularization (47A52)

Related Items (15)

Arnoldi methods for image deblurring with anti-reflective boundary conditions ⋮ Structure preserving preconditioners for image deblurring ⋮ A boundary condition based deconvolution framework for image deblurring ⋮ A note on Taylor boundary conditions for accurate image restoration ⋮ Symmetrization techniques in image deblurring ⋮ Kronecker product approximations for image restoration with whole-sample symmetric boundary conditions ⋮ Fast deconvolution with approximated PSF by RSTLS with antireflective boundary conditions ⋮ Rotational image deblurring with sparse matrices ⋮ Deblurring Poisson noisy images by total variation with overlapping group sparsity ⋮ Antireflective boundary conditions for deblurring problems ⋮ Recovery from errors due to domain truncation in magnetic particle imaging: approximation error modeling approach ⋮ The Sylvester and Bézout resultant matrices for blind image deconvolution ⋮ A fast alternating minimization algorithm for total variation deblurring without boundary artifacts ⋮ Removal of blur in images based on least squares solutions ⋮ Preconditioned conjugate gradient method for boundary artifact-free image deblurring

Uses Software

• Matlab
• Regularization tools
• RestoreTools
• UTV

Cites Work

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• Iterative methods for image deblurring: A Matlab object-oriented approach
• Spectral analysis of the anti-reflective algebra
• Improved image deblurring with anti-reflective boundary conditions and re-blurring
• Deblurring Images
• A Note on Antireflective Boundary Conditions and Fast Deblurring Models
• Superoptimal Preconditioned Conjugate Gradient Iteration for Image Deblurring
• A Fast Algorithm for Deblurring Models with Neumann Boundary Conditions
• Computational Methods for Inverse Problems
• An Introduction to Iterative Toeplitz Solvers

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