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

@article{Cherfils2015ACS,
  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},
  year={2015},
  volume={54},
  pages={117-131}
}
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

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