Variational Image Denoising Approach with Diffusion Porous Media Flow

A novel PDE-based image denoising approach is proposed in this paper. One designs here a nonlinear filter for image noise reduction based on the diffusion flow generated by the porous media equation partial derivative u/partial derivative t = Delta beta(u), where beta is a nonlinear continuous function of the form beta(u) = lambda u(m), 0 < m < 1. With respect to standard 2D Gaussian smoothing and some nonlinear PDE-based filters, this one is more efficient to remove noise from degraded images and also to reduce "staircasing" effects and preserve the image edges.