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dc.contributor.authorBosch, Jessica
dc.contributor.authorKay, David
dc.contributor.authorStoll, Martin
dc.contributor.authorWathen, Andrew J.
dc.date.accessioned2016-02-25T13:18:38Z
dc.date.available2016-02-25T13:18:38Z
dc.date.issued2014-01-02
dc.identifier.citationBosch J, Kay D, Stoll M, Wathen AJ (2014) Fast Solvers for Cahn--Hilliard Inpainting. SIAM Journal on Imaging Sciences 7: 67–97. Available: http://dx.doi.org/10.1137/130921842.
dc.identifier.issn1936-4954
dc.identifier.doi10.1137/130921842
dc.identifier.urihttp://hdl.handle.net/10754/598319
dc.description.abstractThe solution of Cahn-Hilliard variational inequalities is of interest in many applications. We discuss the use of them as a tool for binary image inpainting. This has been done before using double-well potentials but not for nonsmooth potentials as considered here. The existing bound constraints are incorporated via the Moreau-Yosida regularization technique. We develop effective preconditioners for the efficient solution of the Newton steps associated with the fast solution of the Moreau-Yosida regularized problem. Numerical results illustrate the efficiency of our approach. Moreover, precise eigenvalue intervals are given for the preconditioned system using a double-well potential. A comparison between the smooth and nonsmooth Cahn-Hilliard inpainting models shows that the latter achieves better results. © 2014 Society for Industrial and Applied Mathematics.
dc.description.sponsorshipThis research was based on work supported in part by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST).
dc.publisherSociety for Industrial & Applied Mathematics (SIAM)
dc.subjectBinary images
dc.subjectCahn-Hilliard equation
dc.subjectImage inpainting
dc.subjectPreconditioning
dc.subjectSchur complement approximation
dc.titleFast Solvers for Cahn--Hilliard Inpainting
dc.typeArticle
dc.identifier.journalSIAM Journal on Imaging Sciences
dc.contributor.institutionMax Planck Institute for Dynamics of Complex Technical Systems, Magdeburg, Germany
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdom
kaust.grant.numberKUK-C1-013-04
dc.date.published-online2014-01-02
dc.date.published-print2014-01


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