Variational image denoising approach with diffusion porous media flow

Abstract

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 ∂ u / ∂ t = Δ β (u), where β is a nonlinear continuous function of the form β (u) = 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. © 2013 Tudor Barbu.