Abstract
This paper presents two different processes of nonlinear diffusion of logarithmic intensity for separating the illumination and the albedo from an observed color image. The one process is the two-dimensional nonlinear diffusion process, and the other process is the one-dimensional nonlinear diffusion process that diffuses the intensity only along the edge-running direction. The one-dimensional nonlinear diffusion process outperforms the two-dimensional nonlinear diffusion process, and separates the illumination and the albedo more successfully.