The image denoising and edge enhancement based on parabolic PDEs are the hot topics

but the existing diffusion equations have always made the edge smooth and hence the images become blurred. Based on the anisotropy diffusion

an equalized net diffusion model

with a modulator and a constraint term

is presented in order to not only denoise the image but also enhance the object edge and the image structure. An explicit calculation scheme is desired and the model is tested subsequently. The experimental results show that our present method is superior to the existing methods in the processing effect above.