A nonlinear diffusion based image denoising technique is introduced in this paper.The proposed PDE denoising and restoration scheme is based on a novel diffusivity function that uses an automatically detected conductance parameter.A robust mathematical depileve easy clean treatment is also provided for our anisotropic diffusion model.
We demonstrate that edge-stopping function model is here properly chosen, explaining the mathematical reasons behind it.Also, we perform a rigorous mathematical investigation on of the existence and uniqueness of the solution of our nonlinear diffusion equation.This PDE-based noise removal approach outperforms most diffusion-based methods, producing considerably better smoothing results and providing a much better edge preservation.