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Hyperspectral Image Denoising Using Nonconvex Fraction Function

delete2023-01-01
delete9
PRE
AI
T
Tianyu Liu
D
Dong Hu
Z
Zhi Wang *
J
Jianping Gou
W
Wu Chen
DOI:10.1109/LGRS.2023.3307411delete
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摘要

摘要

En 中文
Hyperspectral image (HSI) denoising is a challenging task, not only because it is unavoidably contaminated by severe mixed noises, but also because of its hard-to-recover spatial-spectral structure. Since it has been found that HSI has low-rank property, low-rank models have received extensive attention in dealing with the HSI denoising task. However, these models either use nuclear norm, which can only obtain suboptimal solutions, or require some predefined information that is difficult to determine. To address these issues, in this letter, we propose a new HSI denoising model based on nonconvex fraction function, which has excellent performance in removing mixed noises. Specifically, the proposed model can capture the rank information of HSI automatically, which allows it to separate clean HSI from noises more accurately. Then, an iterative optimization algorithm is developed by exploiting the framework of the augmented Lagrange multiplier (ALM). Meanwhile, the subproblems at each iteration can be solved by the proximal operator with a closed-form solution. Besides, the convergence of the proposed algorithm is also provided theoretically. Extensive experiments implemented with simulated and real datasets demonstrate that our proposed model performs better than state-of-the-art models in HSI denoising. MATLAB code is available at https://github.com/wangzhi-swu/HSI-Denosing.
Keyword:
Denoising
hyperspectral image (HSI)
low-rank
nonconvex fraction function

期刊

IEEE Geoscience and Remote Sensing Magazine 封面图
IEEE Geoscience and Remote Sensing Magazine
IF:
16.4
论文数:
1.0W
被引数:
5.1K

机构

S
southwest university - china
学者数:
2.6W
论文数: 1.9W
被引数: 21
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