An edge-preserving fourth order PDE method for image denoising

Abstract

This paper presents an edge-preserving fourth order partial differential equation (PDE) method for image denoising. This method can preserve edges and avoid the staircase effect. The proposed fourth order model contains a function of gradient norm as an edge detector, which controls the diffusion speed according to the local structure of the image and preserves more details. Denoising results are given and we also compare our method with some related PDE models.