Fourth-order Gauss Curvature Driven Diffusion for Image Denoising
P. Jidesh, Santhosh George · International Journal of Computer and Electrical Engineering · 2012
Second-order curvature driven diffusion methods such as mean curvature driven diffusion and Gauss curvature driven diffusion were introduced in the literature for image denoising.However, the second-order Partial Differential Equations modify smooth areas in images into piece-wise constant areas resulting in a staircase effect.Moreover, important information present in images such as textures is often lost in the course of evolution.In this paper, we propose a fourth-order diffusion equation, which uses a function of Gauss curvature as the conductance term to control the magnitude of diffusion.The fourth-order PDE helps to preserve the planar approximation by approximating the observed image with a piecewise planar image.This provides a more natural look to the filtered image.The Gauss curvature based conductance term preserves curvy edges, ramps and corners, with non-zero curvature value.The visual and quantitative results of the method are presented and compared with some of the existing PDE based denoising methods.