Fourth-order partial differential equations for image inpainting

Inpainting is an image interpolation problem, with broad applications in image processing and vision analysis. PDE-based image inpainting has become a very active area of research in recent years. The Total variation model for image inpainting is an effective method. But the interpolation of this model is limited to creating straight isophotes, not necessarily smoothly continued from the boundary and it does not always follow the Connectivity Principle. We have made some improvements on it and propose a novel fourth-order PDE method to inpaint missing data domain. In both smooth of inpainting and connectivity, our method is outstanding than other methods.