INPAINTING WITH FOKKER-PLANCK EQUATION

In the present paper we employ the Fokker-Planck equation for completing an image with missing information. Using this equation has three advantages. The first one is the fact that this equation has a mild solution. The second advantage is that the implicit approximation scheme provides a sequence of solutions which converges to the solution of the Fokker-Planck equation. The third quality of this equation is the low regularization effect on the initial data, thus preserving the edges from the inpainted image. The numerical experiments show that this equation provides a good solution for the inpainting problem.