PDE-Based Interpolation Methods for Image Super Resolution

This article presents an efficient PDE-based interpolation algorithm for image super resolution (SR). Conventional PDE-based interpolation methods can produce sharp edges; however, they are approximators and tend to weaken fine structures. In order to overcome the drawback, a texture enhancement method is incorporated as a post-process of PDE-based interpolation methods. The post-process turns out to make the resulting algorithm an interpolator. It has been numerically verified that the resulting algorithm restores sharp edges and enhances fine structures satisfactorily, outperforming traditional methods. The suggested algorithm has also proved efficient enough to be applicable for real-time processing for resolution enhancement of images and video clips that are downloaded through internet connections or wireless communications. Numerical examples are shown to verify the claim.