Cahn–Hilliard Inpainting and a Generalization for Grayvalue Images
KAUST Grant NumberKUK-I1-007-43
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AbstractThe Cahn–Hilliard equation is a nonlinear fourth order diffusion equation originating in material science for modeling phase separation and phase coarsening in binary alloys. The inpainting of binary images using the Cahn–Hilliard equation is a new approach in image processing. In this paper we discuss the stationary state of the proposed model and introduce a generalization for grayvalue images of bounded variation. This is realized by using subgradients of the total variation functional within the flow, which leads to structure inpainting with smooth curvature of level sets.
CitationBurger M, He L, Schönlieb C-B (2009) Cahn–Hilliard Inpainting and a Generalization for Grayvalue Images. SIAM Journal on Imaging Sciences 2: 1129–1167. Available: http://dx.doi.org/10.1137/080728548.
SponsorsThis work was partially supported by the WWTF (Wiener Wissenschafts-, Forschungs- und Technologiefonds) project CI06 003, by the FFG project Erarbeitung neuer Algorithmen zum Image Inpainting project 813610, and the Ph.D. program Wissenschaftskolleg taking place at the University of Vienna. Further, this publication is based on work supported by award KUK-I1-007-43, made by King Abdullah University of Science and Technology (KAUST).
JournalSIAM Journal on Imaging Sciences