On some perturbations of the total variation image inpainting method . Part II : relaxation and dual variational formulation

@inproceedings{Bildhauer2013OnSP,
  title={On some perturbations of the total variation image inpainting method . Part II : relaxation and dual variational formulation},
  author={Michael Bildhauer},
  year={2013}
}
In our note we discuss some strongly elliptic modifications of the total variation inpainting model formulated in the space BV(Ω) and investigate the corresponding dual variational problems. Remarkable features are the uniqueness of the dual solution and the uniqueness of the absolutely continuous part ∇ a u of the gradient of BV-solutions u on the whole domain. Additionally, any BV-minimizer u automatically satisfies the inequality 0 ≤ u ≤ 1, which means that u measures the intensity of the… CONTINUE READING

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