Nonlocal Tensor Completion for Multitemporal Remotely Sensed Images’ Inpainting

Remotely sensed images may contain some missing areas because of poor weather conditions and sensor failure. Information of those areas may play an important role in the interpretation of multitemporal remotely sensed data. This paper aims at reconstructing the missing information by a nonlocal low-rank tensor completion method. First, nonlocal correlations in the spatial domain are taken into account by searching and grouping similar image patches in a large search window. Then, low rankness of the identified fourth-order tensor groups is promoted to consider their correlations in spatial, spectral, and temporal domains, while reconstructing the underlying patterns. Experimental results on simulated and real data demonstrate that the proposed method is effective both qualitatively and quantitatively. In addition, the proposed method is computationally efficient compared with other patch-based methods such as the recently proposed patch matching-based multitemporal group sparse representation method.