A Cahn–Hilliard System with a Fidelity Term for Color Image Inpainting

  title={A Cahn–Hilliard System with a Fidelity Term for Color Image Inpainting},
  author={Laurence Cherfils and Hussein Fakih and Alain Miranville},
  journal={Journal of Mathematical Imaging and Vision},
In this paper, we propose a model for multi-color image inpainting composed of n colors. In particular, as in the binary model, i.e., the Bertozzi–Esedoglu–Gillette–Cahn–Hilliard equation (Bertozzi et al. in IEEE Trans Image Proc 16:285–291, 2007, Multiscale Model Simul 6:913–936, 2007), we add a fidelity term to the corresponding Cahn–Hilliard system. We are interested in the study of the asymptotic behavior, in terms of finite-dimensional attractors, of the dynamical system associated with… CONTINUE READING

From This Paper

Figures, tables, and topics from this paper.


Publications referenced by this paper.
Showing 1-10 of 42 references

Infinite-Dimensional Dynamical Systems in Mechanics and Physics, 2nd edn

R. Temam
Springer-Verlag, New York • 1997
View 4 Excerpts
Highly Influenced

Multi-component Cahn– Hilliard systems with dynamic boundary conditions

M. Conti, S. Gatti, A. Miranville
Nonlinear Anal. Ser. B 25, 137–166 • 2015
View 3 Excerpts

Similar Papers

Loading similar papers…