Novel Hybrid Fourth-order Anisotropic Diffusion Model for Additive Noise Filtering

An effective nonlinear fourth-order partial differential equation (PDE)-based additive denoising technique is considered in this article. The proposed image restoration approach is based on a hybrid anisotropic diffusion model with boundary conditions, which combines nonlinear second and fourth order diffusion-based components and a conventional filter kernel. The obtained PDE model is well-posed under some certain assumptions and its weak unique solution is computed by applying a consistent and fast-converging finite difference method-based numerical approximation scheme that is also proposed here. The image denoising results produced by this method are finally described.