Abstract: Important information,such as textures or edges,is often lost or blurred in the process of smoothing algorithm based on P-M Anisotropic Diffusion．We defined a new diffusivity operator which is used to control the velocity of the diffusion and proposed a reaction-diffusion equation with double-regularizing terms to overcome this defect,besides,we analysed and verified the model’s convergence．The diffusivity operator relies on the change rules of gradient in a neighborhood to weaken the diffusion intensity in texture or edge regions．Two forcing terms were used to regulate diffusion and maintain edges,boundaries and texture．Experiment results and comparisons show the good performance of the proposed method for texture and edge preserving in the process of denoising,and demonstrate the proposed algorithm is feasible and applicable．

Key words: Texture denoising,Diffusivity operator,Double-regularing terms,Reaction-diffusion equation