Abstract: A nonlinear partial differential equation model based on nonlocal information was proposed to removenoise and preserve the edges. Nonlocal gradient is introduced to detect the edges and adjust the speed of the diffusion inside and outside the smooth region. Oneside scheme is taken for calculating the nonlocal gradient norm to preserve edge information in discret situation. Theorical analysis and numerical results demonstratethe performance of the new method.

Key words: image denoising, nonlocal information, partial differ ential equation