Nonlocal Low-Rank-Based Compressed Sensing for Remote Sensing Image Reconstruction

Remote sensing image reconstruction from undersampled data is very much required by the onboard imaging system to cut down data volume and maintain image quality. Nonlocal low-rank regularization deriving from group sparsity, low rank, singular-value thresholding, and nonconvex surrogate functions have recently emerged for image recovery. To use nonlocal low-rank compressed sensing for remote sensing image reconstruction, spectral and temporal redundancy are considered in this letter by utilizing the similarity of correlated bands or historical records. Prior structural knowledge helps to group nonlocal similar blocks more accurately. Oversmoothness of low-rank regularization is improved by injecting referenced structures selectively. The proposed compressed sensing method is tested on satellite images from MODIS, LandSat-7, LandSat-8, IKONOS, and Google Earth to make clear that it outweighs state-of-the-art methods in maintaining fidelity and high visual details.