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Super-resolution reconstruction of hyperspectral images via low rank tensor modeling and total variation regularization

机译:通过低秩张量建模和总变化正则化超光谱图像的超分辨率重建

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In this paper, we propose a novel approach to hyperspectral image super-resolution by modeling the global spatial-and-spectral correlation and local smoothness properties over hyperspectral images. Specifically, we utilize the tensor nuclear norm and tensor folded-concave penalty functions to describe the global spatial-and-spectral correlation hidden in hyperspectral images, and 3D total variation (TV) to characterize the local spatial-and-spectral smoothness across all hyperspectral bands. Then, we develop an efficient algorithm for solving the resulting optimization problem by combing the local linear approximation (LLA) strategy and alternative direction method of multipliers (ADMM). Experimental results on one hyperspectral image dataset illustrate the merits of the proposed approach.
机译:在本文中,我们通过对高光谱图像的全局空间和光谱相关性以及局部平滑特性建模,提出了一种用于高光谱图像超分辨率的新方法。具体来说,我们利用张量核范数和张量折叠-凹惩罚函数来描述隐藏在高光谱图像中的全局空间和光谱相关性,并利用3D总变化量(TV)来表征所有高光谱的局部空间和光谱平滑度乐队。然后,我们通过结合局部线性逼近(LLA)策略和乘数的交替方向方法(ADMM),开发了一种解决最终优化问题的有效算法。在一个高光谱图像数据集上的实验结果说明了该方法的优点。

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