Variational image denoising approach with diffusion porous media flow (Q1949523)

Summary: 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 \(\partial u/\partial t = \Delta \beta (u)\), 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.