A fourth-order partial differential equations method of noise removal
Xilin Liu, Zhengwei Ying, Shufang Qiu · 2011
In this paper, we introduce a new method for image denoising based on a fourth-order partial differential equation (PDE) model and a mean curvature diffusion (MCD) model. The fourth-order PDE model can cause less blocky effect and preserve edges in image denoising. But it loses too much texture in the restored image. The mean curvature diffusion model can keep texture while quickly removing noise. So we introduce the mean curvature diffusion into the PDE-based noise removal algorithm. Finally, Numerical experiments are done by our proposed model. We also compared our method with the fourth-order PDE model and the mean curvature diffusion model. Numerical examples show that the proposed model can preserve fine structure and keep texture well while quickly removing image's noise.