Solution methods for linear discrete ill-posed problems for color image restoration

Solution methods for linear discrete ill-posed problems for color image restoration BIT Numer Math https://doi.org/10.1007/s10543-018-0706-0 Solution methods for linear discrete ill-posed problems for color image restoration 1 1,2 3 A. H. Bentbib · M. El Guide · K. Jbilou · 4,5 4 E. Onunwor · L. Reichel Received: 8 June 2017 / Accepted: 26 March 2018 © Springer Science+Business Media B.V., part of Springer Nature, corrected publication May 2018 Abstract This work discusses four algorithms for the solution of linear discrete ill- posed problems with several right-hand side vectors. These algorithms can be applied, for instance, to multi-channel image restoration when the image degradation model is described by a linear system of equations with multiple right-hand sides that are contaminated by errors. Two of the algorithms are block generalizations of the stan- Communicated by Lars Eldén. The original version of this article was revised. B L. Reichel reichel@math.kent.edu A. H. Bentbib a.bentbib@uca.ac.ma M. El Guide mohamed.elguide@um6p.ma; mohamed.elguide@edu.uca.ac.ma K. Jbilou jbilou@univ-littoral.fr E. Onunwor eonunwor@starkstate.edu Laboratoire de Mathématiques Appliquées et Informatique, Faculté des Sciences et Techniques-Gueliz, Marrakesh, Morocco Université Mohammed VI Polytechnique, FAB-LAB, UM6P, Bengeurir, Morocco Université du Littoral Côte d’Opale, L.M.P.A, ULCO, 50 rue F. Buisson, BP699, 62228 Calais-Cedex, France Department of Mathematical Sciences, Kent State University, Kent, OH 44242, USA http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png BIT Numerical Mathematics Springer Journals

Solution methods for linear discrete ill-posed problems for color image restoration

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Publisher
Springer Netherlands
Copyright
Copyright © 2018 by Springer Science+Business Media B.V., part of Springer Nature, corrected publication May 2018
Subject
Mathematics; Computational Mathematics and Numerical Analysis; Numeric Computing; Mathematics, general
ISSN
0006-3835
eISSN
1572-9125
D.O.I.
10.1007/s10543-018-0706-0
Publisher site
See Article on Publisher Site

Abstract

BIT Numer Math https://doi.org/10.1007/s10543-018-0706-0 Solution methods for linear discrete ill-posed problems for color image restoration 1 1,2 3 A. H. Bentbib · M. El Guide · K. Jbilou · 4,5 4 E. Onunwor · L. Reichel Received: 8 June 2017 / Accepted: 26 March 2018 © Springer Science+Business Media B.V., part of Springer Nature, corrected publication May 2018 Abstract This work discusses four algorithms for the solution of linear discrete ill- posed problems with several right-hand side vectors. These algorithms can be applied, for instance, to multi-channel image restoration when the image degradation model is described by a linear system of equations with multiple right-hand sides that are contaminated by errors. Two of the algorithms are block generalizations of the stan- Communicated by Lars Eldén. The original version of this article was revised. B L. Reichel reichel@math.kent.edu A. H. Bentbib a.bentbib@uca.ac.ma M. El Guide mohamed.elguide@um6p.ma; mohamed.elguide@edu.uca.ac.ma K. Jbilou jbilou@univ-littoral.fr E. Onunwor eonunwor@starkstate.edu Laboratoire de Mathématiques Appliquées et Informatique, Faculté des Sciences et Techniques-Gueliz, Marrakesh, Morocco Université Mohammed VI Polytechnique, FAB-LAB, UM6P, Bengeurir, Morocco Université du Littoral Côte d’Opale, L.M.P.A, ULCO, 50 rue F. Buisson, BP699, 62228 Calais-Cedex, France Department of Mathematical Sciences, Kent State University, Kent, OH 44242, USA

Journal

BIT Numerical MathematicsSpringer Journals

Published: Apr 12, 2018

References

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