Image Deblurring Based on Convex Non-Convex Sparse Regularization and Plug-and-Play Algorithm

Image deblurring based on sparse regularization has garnered significant attention, but there are still certain limitations that need to be addressed. For instance, convex sparse regularization tends to exhibit biased estimation, which can adversely impact the deblurring performance, while non-conve...

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Main Authors: Yi Wang, Yating Xu, Tianjian Li, Tao Zhang, Jian Zou
Format: Article
Language:English
Published: MDPI AG 2023-12-01
Series:Algorithms
Subjects:
Online Access:https://www.mdpi.com/1999-4893/16/12/574
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author Yi Wang
Yating Xu
Tianjian Li
Tao Zhang
Jian Zou
author_facet Yi Wang
Yating Xu
Tianjian Li
Tao Zhang
Jian Zou
author_sort Yi Wang
collection DOAJ
description Image deblurring based on sparse regularization has garnered significant attention, but there are still certain limitations that need to be addressed. For instance, convex sparse regularization tends to exhibit biased estimation, which can adversely impact the deblurring performance, while non-convex sparse regularization poses challenges in terms of solving techniques. Furthermore, the performance of the traditional iterative algorithm also needs to be improved. In this paper, we propose an image deblurring method based on convex non-convex (CNC) sparse regularization and a plug-and-play (PnP) algorithm. The utilization of CNC sparse regularization not only mitigates estimation bias but also guarantees the overall convexity of the image deblurring model. The PnP algorithm is an advanced learning-based optimization algorithm that surpasses traditional optimization algorithms in terms of efficiency and performance by utilizing the state-of-the-art denoiser to replace the proximal operator. Numerical experiments verify the performance of our proposed algorithm in image deblurring.
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spelling doaj.art-7d03a673fbaf491ebdb351be62da80ba2023-12-22T13:47:07ZengMDPI AGAlgorithms1999-48932023-12-01161257410.3390/a16120574Image Deblurring Based on Convex Non-Convex Sparse Regularization and Plug-and-Play AlgorithmYi Wang0Yating Xu1Tianjian Li2Tao Zhang3Jian Zou4School of Information and Mathematics, Yangtze University, Jingzhou 434020, ChinaSchool of Information and Mathematics, Yangtze University, Jingzhou 434020, ChinaSchool of Information and Mathematics, Yangtze University, Jingzhou 434020, ChinaSchool of Information and Mathematics, Yangtze University, Jingzhou 434020, ChinaSchool of Information and Mathematics, Yangtze University, Jingzhou 434020, ChinaImage deblurring based on sparse regularization has garnered significant attention, but there are still certain limitations that need to be addressed. For instance, convex sparse regularization tends to exhibit biased estimation, which can adversely impact the deblurring performance, while non-convex sparse regularization poses challenges in terms of solving techniques. Furthermore, the performance of the traditional iterative algorithm also needs to be improved. In this paper, we propose an image deblurring method based on convex non-convex (CNC) sparse regularization and a plug-and-play (PnP) algorithm. The utilization of CNC sparse regularization not only mitigates estimation bias but also guarantees the overall convexity of the image deblurring model. The PnP algorithm is an advanced learning-based optimization algorithm that surpasses traditional optimization algorithms in terms of efficiency and performance by utilizing the state-of-the-art denoiser to replace the proximal operator. Numerical experiments verify the performance of our proposed algorithm in image deblurring.https://www.mdpi.com/1999-4893/16/12/574image deblurringplug-and-play algorithmconvex non-convex strategysparse regularization
spellingShingle Yi Wang
Yating Xu
Tianjian Li
Tao Zhang
Jian Zou
Image Deblurring Based on Convex Non-Convex Sparse Regularization and Plug-and-Play Algorithm
Algorithms
image deblurring
plug-and-play algorithm
convex non-convex strategy
sparse regularization
title Image Deblurring Based on Convex Non-Convex Sparse Regularization and Plug-and-Play Algorithm
title_full Image Deblurring Based on Convex Non-Convex Sparse Regularization and Plug-and-Play Algorithm
title_fullStr Image Deblurring Based on Convex Non-Convex Sparse Regularization and Plug-and-Play Algorithm
title_full_unstemmed Image Deblurring Based on Convex Non-Convex Sparse Regularization and Plug-and-Play Algorithm
title_short Image Deblurring Based on Convex Non-Convex Sparse Regularization and Plug-and-Play Algorithm
title_sort image deblurring based on convex non convex sparse regularization and plug and play algorithm
topic image deblurring
plug-and-play algorithm
convex non-convex strategy
sparse regularization
url https://www.mdpi.com/1999-4893/16/12/574
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AT yatingxu imagedeblurringbasedonconvexnonconvexsparseregularizationandplugandplayalgorithm
AT tianjianli imagedeblurringbasedonconvexnonconvexsparseregularizationandplugandplayalgorithm
AT taozhang imagedeblurringbasedonconvexnonconvexsparseregularizationandplugandplayalgorithm
AT jianzou imagedeblurringbasedonconvexnonconvexsparseregularizationandplugandplayalgorithm