Generalized Perona-Malik equation for image restoration

This letter introduces generalizations of the Perona-Malik equation. An edg e enhancing functional is proposed for direct edge enhancement. A number of super diffusion operators is introduced for fast and effective smoothing. Statistical information is utilized for robust edge-stopping. Numerical int egration is conducted by using a recently developed quasiinterpolating wave let method. Computer experiments indicate that the present algorithm is ver y efficient for edge-detecting and noise-removing.