Solution methods for linear discrete ill-posed problems for color image restoration
type: Item
instance of: scholarly article
title: Solution methods for linear discrete ill-posed problems for color image restoration
zbMATH Open document ID: 1402.65031
author: M. El Guide
author: Abdeslem H. Bentbib
author: Khalide Jbilou
author: Enyinda Onunwor
author: Lothar Reichel
published in: BIT
publication date: 2018-09-20T00:00:00Z
review text: The paper is concerned with iterative methods based on standard or block Golub-Kahan-type bidiagonalization, combined with Tikhonov regularization, to the restoration of a multi-channel image from an available blur- and noise-contaminated version. The authors propose to use the standard version of the Golub-Kahan algorithm without restarts for all right-hand sides, combined with Tikhonov regularization for avoiding sever error propagation. Numerical experiments are also presented.
reviewed by: Constantin Popa
Mathematics Subject Classification ID: 65F22
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 94A08
zbMATH DE Number: 6940686
zbMATH Keywords: Golub-Kahan bidiagonalization
zbMATH Keywords: block Golub-Kahan bidiagonalization
zbMATH Keywords: global Golub-Kahan bidiagonalization
zbMATH Keywords: Tikhonov regularization
zbMATH Keywords: ill-posed problem
zbMATH Keywords: multiple right-hand sides
zbMATH Keywords: color image restoration
Wikidata QID: Q113107274
describes a project that uses: LSQR
describes a project that uses: blgaussexp
describes a project that uses: CRAIG
describes a project that uses: Regularization tools
MaRDI profile type: Publication
full work available at URL: s10543-018-0706-0
OpenAlex ID: W2797012988
cites work: Global Golub-Kahan bidiagonalization applied to large discrete ill-posed problems
cites work: \(L\)-curve curvature bounds via Lanczos bidiagonalization
cites work: Tikhonov regularization of large linear problems
cites work: Analysis of Projection Methods for Solving Linear Systems with Multiple Right-Hand Sides
cites work: A block version of BiCGSTAB for linear systems with multiple right-hand sides
cites work: Q4895893
cites work: Block Gauss and Anti-Gauss Quadrature with Application to Networks
cites work: GCV for Tikhonov regularization via global Golub-Kahan decomposition.
cites work: Q3998906
cites work: On Krylov projection methods and Tikhonov regularization
cites work: On the Lanczos and Golub–Kahan reduction methods applied to discrete ill‐posed problems
cites work: A Block Lanczos Method for Computing the Singular Values and Corresponding Singular Vectors of a Matrix
cites work: Q5851422
cites work: Rank-Deficient and Discrete Ill-Posed Problems
cites work: Regularization tools version \(4.0\) for matlab \(7.3\)
cites work: Deblurring Images
cites work: Oblique projection methods for linear systems with multiple right-hand sides
cites work: Convergence analysis of minimization-based noise level-free parameter choice rules for linear ill-posed problems
cites work: Discretization independent convergence rates for noise level-free parameter choice rules for the regularization of ill-conditioned problems
cites work: Coupled segmentation and denoising/deblurring models for hyperspectral material identification
cites work: A block \(\mathrm{GCROT}(m, k)\) method for linear systems with multiple right-hand sides
cites work: LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
cites work: Old and new parameter choice rules for discrete ill-posed problems
cites work: On the Lanczos Method for Solving Symmetric Linear Systems with Several Right-Hand Sides
cites work: Global least squares method (Gl-LSQR) for solving general linear systems with several right-hand sides
DOI: 10.1007/S10543-018-0706-0
description: scientific article; zbMATH DE number 6940686