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.