Hyperspectral Image Denoising With Total Variation Regularization and Nonlocal Low-Rank Tensor Decomposition

Hyperspectral Image Denoising With Total Variation Regularization and Nonlocal Low-Rank Tensor Decomposition
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采用全变分正则化和非局部低阶张量分解的高光谱图像去噪

DOI:
10.1109/tgrs.2019.2947333
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发表时间:
2020-05
影响因子:
8.2
通讯作者:
Liangpei Zhang
Liangpei Zhang
中科院分区:
工程技术1区
文献类型:
--
作者:
Hongyan Zhang;Lu Liu;Wei He;Liangpei Zhang

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高光谱图像通常会受到多种噪声的干扰,从而降低了图像的质量,限制了后续的应用。在这篇文章中,我们提出了一种新的去噪方法的HSI恢复任务相结合的非局部低秩张量分解和总变分正则化,我们称之为TV-NLRTD。为了同时捕获非局部相似性和高谱相关性,首先将HSI分割成重叠的3-D立方体,这些立方体通过<inline-formula><tex-math notation="LaTeX">$k$</tex-math></inline-formula>-means++算法分成几个集群,并通过低秩张量逼近来利用。然后研究空间谱全变分(SSTV)正则化,以从去噪重叠立方体恢复干净的HSI。同时,<inline-formula><tex-math notation="LaTeX">$\ell _{1} $</tex-math></inline-formula>-范数有利于分离干净的非局部低秩张量群和稀疏噪声。采用高效的交替方向乘子法(ADMM)对TV-NLRTD方法进行了优化。仿真和真实的高光谱数据集的实验结果表明,与现有的HSI去噪算法相比,该方法具有更好的去噪效果。
Hyperspectral images (HSIs) are normally corrupted by a mixture of various noise types, which degrades the quality of the acquired image and limits the subsequent application. In this article, we propose a novel denoising method for the HSI restoration task by combining nonlocal low-rank tensor decomposition and total variation regularization, which we refer to as TV-NLRTD. To simultaneously capture the nonlocal similarity and high spectral correlation, the HSI is first segmented into overlapping 3-D cubes that are grouped into several clusters by the <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-means++ algorithm and exploited by low-rank tensor approximation. Spatial–spectral total variation (SSTV) regularization is then investigated to restore the clean HSI from the denoised overlapping cubes. Meanwhile, the <inline-formula> <tex-math notation="LaTeX">$\ell _{1} $ </tex-math></inline-formula>-norm facilitates the separation of the clean nonlocal low-rank tensor groups and the sparse noise. The proposed TV-NLRTD method is optimized by employing the efficient alternating direction method of multipliers (ADMM) algorithm. The experimental results obtained with both simulated and real hyperspectral data sets confirm the validity and superiority of the proposed method compared with the current state-of-the-art HSI denoising algorithms.
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