Weighted Harmonic and Ginzburg-Landau equations in image inpainting

Zakaria Belhachmi (1) , Moez Kallel (2) , Maher Moakher (2) , Anis Theljani (1, 2)

1 LMIA - Laboratoire de Mathématiques Informatique et Applications [UHA]
2 LR-LAMSIN-ENIT - Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur [Tunis]

—We consider some second-order variational model for solving image inpainting problems. The aim is to obtain as far as possible fine features of the initial image, e.g. corners, edges, . . . in the inpainted region. The approach consists of constructing a family of regularized functionals and to select locally and adaptively the regularization parameters with a posteriori error indicators. The parameters selection is performed at the discrete level in the framework of the finite element method. We present several numerical simulations to test the efficiency of the proposed approach.

Domaines: Mathématiques [math]

Zakaria Belhachmi, Moez Kallel, Maher Moakher, Anis Theljani. Weighted Harmonic and Ginzburg-Landau equations in image inpainting. 2015. ⟨hal-01110858⟩