A second-order nonlocal regularized variational model for multiframe image super-resolution-Reference-Cited by-同舟云学术

A second-order nonlocal regularized variational model for multiframe image super-resolution

Published:2021-08-16 Issue:0 Volume:0 Page:
ISSN:2191-0294
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Laghrib Amine¹,Aitbella Fatimzehrae²,Hakim Abdelilah²

Affiliation:

1. EMI FST Béni-Mellal , Université Sultan Moulay Slimane , Beni Mellal , Morocco

2. University Cadi Ayyad , LAMAI FST , Marrakech , Morocco

Abstract

Abstract In this paper, we propose a new nonlocal super-resolution (SR) model which is a combination of the nonlocal total variation (TV) regularization and the nonlocal p-Laplacian term (with p = 2). This choice is motivated by the success of the nonlocal TV term in preserving image edges and the efficiency of the nonlocal p-Laplacian term in preserving the image texture. To ensure the convergence of the proposed optimization SR problem, we prove the existence and uniqueness of a solution in a well-posed framework. In addition, to resolve the encountered minimization problem, we proposed a modified primal-dual algorithm and numerical results are also given to show the performance of the proposed approach.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2019-0109/pdf

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