Abstract: We propose a new model for image restoration, which combines the total variation minization with the “pure” anisotropic diffusion equation of Alvarez L and Morel J M. Due to the introduction of the new diffusion term, this model can not only remove noise but also enhance edges and keep their locality. And it can also keep textures and large-scale fine features that are not characterizaed by edges. Because of these favorable characteristics, not only do the processed images look much clearer and smoother, but also significant details are kept, resulting in appealing vision.

Key words: total variation, anisotropic diffusion equation, noise removal, detail