A single frame super-resolution method based on matrix completion

Efficiently exploring the linear relationship among neighboring pixels is a pervasive way to reconstruct high-resolution image from low-resolution one. However, it is a challenge to determine the order of linear model. According to the theory of matrix completion, we propose a single frame super-resolution algorithm by minimizing the sum of all the augmented matrices' rank, which can reflect the order of the region aware linear model. Various experiments demonstrate the images reconstructed by the proposed method have superior PSNR and visual quality, benefitting from its desirable ability of depressing the ringing noise and other artifacts.