Image Denoising and Inpainting Model Based on Taylor Expansion

When inpainting, the image information should be transmitted and extended along the isophote direction. Therefore, 3rd Taylor expansion is made along the isophote direction in this paper, by omitting senior infinitesimal, the new 3rd PDE based image inpainting model is proposed. In particular, we testified that the new model is morphologically invariant. At the same time, different smooth processes are added inside and outside of the inpainting domain. In our new model, the denoising process and inpainting process can be performed simultaneously.