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....

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Vydáno v:	Soft computing (Berlin, Germany) Ročník 25; číslo 8; s. 6029 - 6042
Hlavní autoři:	Yambangwai, Damrongsak, Khan, Suhel Ahmad, Dutta, Hemen, Cholamjiak, Watcharaporn
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2021
Témata:	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
ISSN:	1432-7643, 1433-7479
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Popis
Shrnutí:	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