Anisotropic diffusion filtering method with a fidelity term

Based on the fact that the anisotropic diffusion method proposed by Weickert can preserve large edges,but some details will be blurred during the diffusion process,a fidelity term,which changes adaptively with the time scale,is added into Weickert's diffusion equation.So,the denoising process and the edge-preserving process will come to a compromise,and more edges and details can be preserved.In addition,in order to realize different diffusions in different regions,the two eigenvalues are reset by combining the two models: edge-enhancing model and the coherence-enhancing model.Experiment results show that the proposed method has obvious effect in preserving textures and details.