Digital image inpainting based on P-harmonic energy minimization

This paper addresses the problem of image inpainting with variational PDE methods. From the study of existing formalisms, two variational inpainting models based on p-harmonic energy minimization are proposed. The associated Euler-Lagrange equations lead to pharmonic equations. The paper analyzes the physical characteristics of the p-Harmonic equations in local coordinates and explains that diffusion behavioral of p-harmonic is superior to that of total variation model in essence. Then proper numerical schemes are designed to handle their computation. They are finally applied to a wide variety of image processing problems, including color image restoration, inpainting and zooming. All these results show that the proposed models are effective.