基于张量环多模低秩与图正则的遥感图像融合方法

Remote Sensing Image Fusion Method Based on Tensor Ring Multimode Low-Rank Graph Regularization

  • 摘要: 遥感图像融合是一种获取高空间分辨率的高光谱图像非常经济且有效的途径,能够克服单一传感器的局限性,然而这是一个不适定的逆问题,且容易受到噪声污染。为了解决以上问题,本文提出了一种基于张量环分解的图像融合模型,将融合过程转化为目标图像张量环因子的估计,利用低维子空间特征实现高维数据的超分辨率重构。首先,通过构建多模图正则项,挖掘张量环因子的局部相似性特征;其次,引入张量核范数对张量环因子进行截断式奇异值分解,逼近低维子空间全局低秩特征;最后设计了一种高效算法来实现模型优化求解。多组数据实验结果表明,本文提出的融合模型有效地提升了高光谱图像的空间分辨率,同时显著抑制了噪声。

     

    Abstract: Remote sensing image fusion is an economical and effective approach for obtaining high-spatial-resolution hyperspectral images, capable of overcoming the limitations of single sensors. However, it involves an ill-posed inverse problem and is susceptible to noise contamination. To address these challenges, this paper proposes an image fusion model based on tensor ring decomposition, transforming the fusion process into the estimation of target image tensor ring factors. Low-dimensional subspace features are further utilized to achieve super-resolution reconstruction of high-dimensional data. First, the local similarity features of the tensor ring factors are exploited by constructing a multimode graph regularization term. Second, an approximation of global low-rank features in low-dimensional subspaces is obtained by introducing tensor nuclear norms for the truncated singular value decomposition of tensor ring factors. Finally, an efficient algorithm was designed to realize model optimization and solution. Experimental results on multiple datasets demonstrate that the proposed fusion model effectively enhances the spatial resolution of hyperspectral images while significantly suppressing noise.

     

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