Super-resolution by polar Newton–Thiele׳s rational kernel in centralized sparsity paradigm

In general the rectangular windows are used by many super-resolution reconstruction approaches, however, they are not suitable for the arc regions of images. In view of this, a novel reconstruction algorithm is proposed in this paper, which is based on the Newton–Thiele׳s rational interpolation by continued fractions in the polar coordinates. In order to get better reconstructed results, we also present a novel model where the Newton–Thiele׳s rational interpolation scheme used to magnify images/videos is combined with the sparse representation scheme used to refine the reconstructed results. Plenty of experiments in image and video sequences demonstrate that the new method can produce high-quality resolution enhancement, as compared with the state-of-the-art methods. Experimental results show that the proposed method achieves much better results than other methods in terms of both visual effect and PSNR.