I. Introduction
Nowadays, a low resolution image gives us the impression of low-tech, old fashion, awkward style and uncertainty. This is particularly true if the image is used for advertisement, surveillance, medical diagnosis or object recognition. The low quality face image might devalue a person's beauty and faith. In order to relieve the problem we may turn the image into higher resolution, with super-resolution technology. Image super-resolution (SR) usually refers to an increase of the resolution of a single low-resolution (LR) image by up-sampling, deblurring and denoising, while the resultant high-resolution (HR) image should preserve the characteristics of the natural image, such as sharp edges and rich texture.