A posed model and a new diffusion method are introduced. After analyzing the diffusion coefficient function of the Perona&Malik(PM) model

We found that it is too sensitive at edges

which is the main reason for the PM model’s ill-posing.Doing some amendments to the function

we got a posed anisotropic diffusion model. Our new model has a better form for double diffusions and filter factors

which the ill-posed models don’t have. We divided the model into two different modules:a smoothing module and a denoising module. The two modules separate the operations of smoothing and denoising. As a result

Our new method can improve the impression of smoothness and reduce the noise remove.Our experiments on real images show that the proposed algorithm outperforms many typical image diffusion algorithms on visual effects.