Image representation and enhancement on elastic manifolds

Enhancing detail and contours of objects in low resolution noisy natural images is still one of the most outstanding challenges in image processing. This study is devoted to a new approach to adaptive image enhancement, based on the application of a damped elastic deformation process to single images. The proposed approach results in a Telegraph-Diffusion (TeD) denoising-and-sharpening filtering scheme which enhances fine details in images. Three efficient numerical schemes are presented. Advantages of the algorithm are discussed with reference to computational results.