Anisotropic vector diffusion in image smoothing

Anisotropic diffusion has been widely used in image processing for its efficiency of smoothing the noisy images while preserving the sharp edges. In this paper we explore a general version of anisotropic diffusion schemes for vector-valued images, based on the polar-coordinate representation of the vectors. As an example, we apply our method to color images and show its ability of edge-preserving smoothing on vector-valued images.