In this letter, we proposed a matting model guided variational pansharpening method with fractional order gradient transferring constraint to fuse a low-resolution (LR) multispectral (MS) and a high-resolution (HR) panchromatic (Pan) image to an HR-MS image. Specifically for the proposed model, we not only used the commonly local spectral fidelity constraint for spectral information preserving, but also applied the famous matting model fusion method to further enforce a spatial-spectral fidelity constraint, and particularly proposed a fractional-order gradient transferring constraint to transfer the spatial information of Pan image to the desired HR-MS image. Then, we designed an optimization algorithm to solve the proposed model efficiently. Finally, the experimental results showed the superiority of the proposed method to various methods subjectively and objectively.

在这封信中，我们提出了一种具有分数阶梯度传递约束的消光模型引导变分全锐化方法，将低分辨率（LR）多光谱（MS）和高分辨率（HR）全色（Pan）图像融合到HR-MS图片。具体针对所提出的模型，我们不仅将常用的局部频谱保真度约束用于频谱信息的保存，而且还应用了著名的消光模型融合方法进一步增强了空间光谱的保真度约束，特别是提出了分数阶梯度传递约束。将平移图像的空间信息传输到所需的HR-MS图像。然后，我们设计了一种优化算法来有效地解决所提出的模型。最后，