提出新张量模型,解决高光谱图像超分辨中非分离模糊问题。
A Generalized Tensor Formulation for Hyperspectral Image Super-Resolution Under General Spatial Blurring
- 用克罗内克分解建模任意空间模糊,突破传统分离模糊假设。
- 在各向异性模糊下,相比顶尖张量方法提升明显,最高增益达1.8dB。
- 适合处理真实传感器带来的复杂模糊,对遥感图像修复有实用价值。
高光谱图像超分辨通常通过融合低空间分辨率的高光谱图像与高空间分辨率的多光谱图像实现,近年来涌现出多种基于张量的方法。然而,这些方法普遍假设空间模糊操作可分解为水平与垂直方向独立模糊。近期研究指出,这种可分离性无法准确建模真实传感器的各向异性模糊特性。为此,本文提出一种基于克罗内克分解的广义张量框架,可处理任意空间退化矩阵,包括不可分离情形。理论分析揭示了精确恢复超分辨图像的条件,并设计了一种基于块组稀疏正则化的实用算法。大量实验表明,所提方法不仅优于传统矩阵方法,更显著超越现有先进张量方法;尤其在各向异性模糊场景下,性能提升尤为突出,部分数据集上峰值信噪比(PSNR)提升最高达1.8 dB。
原文摘要 · Abstract (English)
Hyperspectral super-resolution is commonly accomplished by the fusing of a hyperspectral imaging of low spatial resolution with a multispectral image of high spatial resolution, and many tensor-based approaches to this task have been recently proposed. Yet, it is assumed in such tensor-based methods that the spatial-blurring operation that creates the observed hyperspectral image from the desired super-resolved image is separable into independent horizontal and vertical blurring. Recent work has argued that such separable spatial degradation is ill-equipped to model the operation of real sensors which may exhibit, for example, anisotropic blurring. To accommodate this fact, a generalized tensor formulation based on a Kronecker decomposition is proposed to handle any general spatial-degradation matrix, including those that are not separable as previously assumed. Analysis of the generalized formulation reveals conditions under which exact recovery of the desired super-resolved image is guaranteed, and a practical algorithm for such recovery, driven by a blockwise-group-sparsity regularization, is proposed. Extensive experimental results demonstrate that the proposed generalized tensor approach outperforms not only traditional matrix-based techniques but also state-of-the-art tensor-based methods; the gains with respect to the latter are especially significant in cases of anisotropic spatial blurring.
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