A new approach to constrained total least squares image restoration

DOI10.1016/S0024-3795(00)00115-4zbMath0960.65044OpenAlexW2027462425WikidataQ113099470 ScholiaQ113099470MaRDI QIDQ1587289

Robert J. Plemmons, Felipe Pimentel, Michael Kwok-Po Ng

Publication date: 20 November 2000

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(00)00115-4

zbMATH Keywords

convergencenumerical experimentsiterative methodNeumann boundary conditionsconstrained total least squaresimage restoration algorithm

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Computing methodologies for image processing (68U10)

Related Items (12)

On condition numbers of the total least squares problem with linear equality constraint ⋮ A regularized structured total least squares algorithm for high-resolution image reconstruction ⋮ Implementation of the regularized structured total least squares algorithms for blind image deblurring ⋮ Fast deconvolution with approximated PSF by RSTLS with antireflective boundary conditions ⋮ (\(R,S\))-conjugate solution to a pair of linear matrix equations ⋮ The Hermitian \(R\)-conjugate generalized Procrustes problem ⋮ Recovery from errors due to domain truncation in magnetic particle imaging: approximation error modeling approach ⋮ The revisited total least squares problems with linear equality constraint ⋮ A fast subspace method for image deblurring ⋮ Conference celebrating the 60th birthday of Robert J. Plemmons. Papers from the conference, Winston-Salem, NC, USA, January 1999 ⋮ Dedication to Robert J. Plemmons ⋮ Multidimensional Total Least Squares Problem with Linear Equality Constraints

Uses Software

• KELLEY
• VanHuffel

Cites Work

• An Analysis of the Total Least Squares Problem
• A total least squares method for Toeplitz systems of equations
• The Discrete Cosine Transform
• A Fast Algorithm for Deblurring Models with Neumann Boundary Conditions
• Conjugate Gradient Methods for Toeplitz Systems
• Generalization of Strang's Preconditioner with Applications to Toeplitz Least Squares Problems
• Restoration of atmospherically blurred images by symmetric indefinite conjugate gradient techniques
• Fast Recursive Least Squares Adaptive Filtering by Fast Fourier Transform-Based Conjugate Gradient Iterations
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