Additive noise removal using a nonlinear hyperbolic PDE-based model

A novel second-order partial differential equation (PDE) - based image restoration technique is proposed here. The considered smoothing method is based on a nonlinear hyperbolic differential model combined to a two-dimension filter kernel. The considered PDE model is well-posed and it is solved numerically by developing an explicit iterative finite difference method-based numerical approximation algorithm that is consistent to the combined PDE-based model and is converging fast to its weak solution. Our successful restoration tests and method comparison are also discussed.