  Extensive attention has been widely paid to enhance the spatial resolution of
hyperspectral (HS) images with the aid of multispectral (MS) images in remote
sensing. However, the ability in the fusion of HS and MS images remains to be
improved, particularly in large-scale scenes, due to the limited acquisition of
HS images. Alternatively, we super-resolve MS images in the spectral domain by
the means of partially overlapped HS images, yielding a novel and promising
topic: spectral superresolution (SSR) of MS imagery. This is challenging and
less investigated task due to its high ill-posedness in inverse imaging. To
this end, we develop a simple but effective method, called joint sparse and
low-rank learning (J-SLoL), to spectrally enhance MS images by jointly learning
low-rank HS-MS dictionary pairs from overlapped regions. J-SLoL infers and
recovers the unknown hyperspectral signals over a larger coverage by sparse
coding on the learned dictionary pair. Furthermore, we validate the SSR
performance on three HS-MS datasets (two for classification and one for
unmixing) in terms of reconstruction, classification, and unmixing by comparing
with several existing state-of-the-art baselines, showing the effectiveness and
superiority of the proposed J-SLoL algorithm. Furthermore, the codes and
datasets will be available at:
https://github.com/danfenghong/IEEE\_TGRS\_J-SLoL, contributing to the RS
community.
