Title: Image Inpainting Using a TV-Stokes Equation

Authors: Xue-Cheng Tai (University of Bergen), Stanley Osher (UCLA, USA) and Randi Holm (University of Bergen)

Abstract: 

 Based on some geometrical considerations, we propose a two-step method to do
  digital image inpainting. In the first step, we try to propagate the isophote
  directions into the inpainting domain. An energy minimization model combined
  with the zero divergence condition is used to get a nonlinear Stokes equation.
  Once the isophote directions are constructed, an image is restored to fit the
  constructed directions. Both steps reduce to the solving of some nonlinear
  partial differential equations. Details about the discretization and
  implementation are explained. The algorithms have been intensively tested on
  synthetic and real images. The advantages of the proposed methods are
  demonstrated by these experiments.

Reference: 

Xue-Cheng Tai, Stanley Osher and Randi Holm:  Image Inpainting Using a TV-Stokes Equation}, UCLA, CAM-report-06-01, January 2006, online at: http://www.math.ucla.edu/applied/cam/.