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 , where is a nonlinear continuous function of the form , . 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.
"Variational Image Denoising Approach with Diffusion Porous Media Flow." Abstr. Appl. Anal. 2013 (SI17) 1 - 8, 2013. https://doi.org/10.1155/2013/856876