A nonlinear fourth-order PDE-based image denoising technique
Tudor Barbu · 2016
A novel PDE-based image enhancement approach is proposed in this paper. It is based on a nonlinear fourth-order diffusion model. That nonlinear PDE scheme is described first. Then, a mathematical treatment is provided for this differential model, its well-posedness being investigated. We prove that the model is well-posed in some certain conditions and admits a weak solution. The weak solution of the obtained PDE is approximated by developing an explicit finite-difference based numerical discretization scheme. The successful results provided by this PDE-based denoising technique and the performed method comparisons are also described.