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Fast Solvers for Cahn-Hilliard Inpainting

Abstract:

We consider the efficient solution of the modified Cahn-Hilliard equation for binary image inpainting using convexity splitting, which allows an unconditionally gradient stable time-discretization scheme. We look at a double-well as well as a double obstacle potential. For the latter we get a nonlinear system for which we apply a semi-smooth Newton method combined with a Moreau-Yosida regularization technique. At the heart of both methods lies the solution of large and sparse linear systems. ...

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Publisher:
SIAM
Publication date:
2013-05-01
UUID:
uuid:c8d2c8f3-56eb-4dd7-a426-7e068080067a
Local pid:
oai:eprints.maths.ox.ac.uk:1705
Deposit date:
2013-06-26

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