Super-resolving blurry multiframe images through multiframe blind deblurring using ADMM

Multiframe super resolution (MFSR) aims to reconstruct a high resolution (HR) image from a set of low resolution (LR) images. However, the MFSR is an ill-posed problem and typically computational costly. In this paper, we propose to super-resolve multiple degraded LR frames of the original scene through multiframe blind deblurring (MFDB). First, we propose a new MFSR forward model and reformulate the MFSR problem into a MFDB problem which is easier to be solved than the former. We further solve the MFBD problem in which, the optimization problems with respect to the unknown image and with respect to the unknown blur are efficiently addressed by the alternating direction method of multipliers (ADMM). Our approach bridges the gap between MFSR and MFBD, taking advantages of existing MFBD methods to handle MFSR. Experiments on synthetic and real images show that the proposed method is competitive and effective in terms of speed and restoration quality.