Hybrid image interpolation technique based on nonlinear second and fourth-order diffusions

A novel compound image inpainting approach is proposed in this paper. We consider a variational interpolation model based on nonlinear second-order and fourth-order diffusions. A well-posed nonlinear PDE-based model is then derived from the variational scheme. It is then discretized by using an iterative finite-difference based numerical approximation scheme. The proposed reconstruction technique works successfully in noisy conditions and also overcomes the unintended effects.