1. Introduction
Single image super-resolution (SISR) [13] aims to restore a high-resolution (HR) image from its low-resolution (LR) observation. SISR has been an active research topic for decades [29], [44], [34], [36], [1] because of its high practical values in enhancing image details and textures. Since SISR is a severely ill-posed inverse problem, for each LR image the space of plausible corresponding HR images is huge and scales up quadratically with the magnification factor, learning image prior information from the HR and/or LR exemplar images [13], [10], [42], [15], [11], [3], [20], [43], [8], [16], [35], [31] plays an indispensable role in recovering the details from an LR input image.