Image restoration by advanced parallel inertial forward–backward splitting methods

The paper proposes an advanced inertial forward–backward splitting algorithm in combination with a parallel hybrid method for approximating solutions of common variational inclusion problems. Strong convergence results have been obtained in real Hilbert spaces subject to certain suitable conditions....

Full description

Saved in:
Bibliographic Details
Published inSoft computing (Berlin, Germany) Vol. 25; no. 8; pp. 6029 - 6042
Main Authors Yambangwai, Damrongsak, Khan, Suhel Ahmad, Dutta, Hemen, Cholamjiak, Watcharaporn
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2021
Subjects
Artificial Intelligence
Computational Intelligence
Control
Engineering
Mathematical Logic and Foundations
Mechatronics
Methodologies and Application
Robotics
Forward–backward algorithms
Hybrid algorithms
Variational inclusion problems
Image restorations
Online AccessGet full text

Cover

More Information
Summary:The paper proposes an advanced inertial forward–backward splitting algorithm in combination with a parallel hybrid method for approximating solutions of common variational inclusion problems. Strong convergence results have been obtained in real Hilbert spaces subject to certain suitable conditions. Applications and numerical results have also been incorporated to justify the applicability of our findings as well as comparability by exhibiting a better rate of convergence by our proposed algorithm than several other well-known algorithms. Further, we solve unconstrained image recovery problems and the quality of the proposed algorithm has also been demonstrated for common types of blur effects.
ISSN:1432-7643
1433-7479
DOI:10.1007/s00500-021-05596-6