Image Inpainting Using a Fourth-Order Total Variation Flow

Carola-Bibiane Schönlieb (1) , Andrea Bertozzi (2) , Martin Burger (3) , Lin He (4)

1 DAMTP - Department of Applied Mathematics and Theoretical Physics
2 Department of Mathematics
3 Institut für Numerische und Angewandte Mathematik
4 RICAM - Johann Radon Institute for Computational and Applied Mathematics

We introduce a fourth-order total variation flow for image inpainting proposed in [5]. The well-posedness of this new inpainting model is discussed and its efficient numerical realization via an unconditionally stable solver developed in [15] is presented.

Domaines: Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]

Carola-Bibiane Schönlieb, Andrea Bertozzi, Martin Burger, Lin He. Image Inpainting Using a Fourth-Order Total Variation Flow. SAMPTA'09, May 2009, Marseille, France. Special session on sampling and (in)painting. ⟨hal-00452296⟩