An Improved Optimal Proximal Gradient Algorithm for Non-Blind Image Deblurring

Fuente: arXiv
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Main Authors: Wang, Qingsong, Xu, Shengze, Tong, Xiaojiao, Zeng, Tieyong
Format: Preprint
Published: 2025
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author Wang, Qingsong
Xu, Shengze
Tong, Xiaojiao
Zeng, Tieyong
author_facet Wang, Qingsong
Xu, Shengze
Tong, Xiaojiao
Zeng, Tieyong
contents Image deblurring remains a central research area within image processing, critical for its role in enhancing image quality and facilitating clearer visual representations across diverse applications. This paper tackles the optimization problem of image deblurring, assuming a known blurring kernel. We introduce an improved optimal proximal gradient algorithm (IOptISTA), which builds upon the optimal gradient method and a weighting matrix, to efficiently address the non-blind image deblurring problem. Based on two regularization cases, namely the $l_1$ norm and total variation norm, we perform numerical experiments to assess the performance of our proposed algorithm. The results indicate that our algorithm yields enhanced PSNR and SSIM values, as well as a reduced tolerance, compared to existing methods.
format Preprint
id arxiv_https___arxiv_org_abs_2502_07602
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle An Improved Optimal Proximal Gradient Algorithm for Non-Blind Image Deblurring
Wang, Qingsong
Xu, Shengze
Tong, Xiaojiao
Zeng, Tieyong
Computer Vision and Pattern Recognition
Optimization and Control
Image deblurring remains a central research area within image processing, critical for its role in enhancing image quality and facilitating clearer visual representations across diverse applications. This paper tackles the optimization problem of image deblurring, assuming a known blurring kernel. We introduce an improved optimal proximal gradient algorithm (IOptISTA), which builds upon the optimal gradient method and a weighting matrix, to efficiently address the non-blind image deblurring problem. Based on two regularization cases, namely the $l_1$ norm and total variation norm, we perform numerical experiments to assess the performance of our proposed algorithm. The results indicate that our algorithm yields enhanced PSNR and SSIM values, as well as a reduced tolerance, compared to existing methods.
title An Improved Optimal Proximal Gradient Algorithm for Non-Blind Image Deblurring
topic Computer Vision and Pattern Recognition
Optimization and Control
url https://arxiv.org/abs/2502.07602