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Alternating Direction Implicit (ADI) schemes for a PDE-based image osmosis model

dc.creatorCalatroni, L
dc.creatorEstatico, C
dc.creatorGaribaldi, N
dc.creatorParisotto, Simone
dc.date.accessioned2017-07-20
dc.date.accessioned2018-11-24T23:20:43Z
dc.date.available2017-12-05T13:38:13Z
dc.date.available2018-11-24T23:20:43Z
dc.date.issued2017-10-22
dc.identifierhttps://www.repository.cam.ac.uk/handle/1810/269931
dc.identifier.urihttp://repository.aust.edu.ng/xmlui/handle/123456789/3636
dc.description.abstract© Published under licence by IOP Publishing Ltd. We consider Alternating Direction Implicit (ADI) splitting schemes to compute efficiently the numerical solution of the PDE osmosis model considered by Weickert et al. in [10] for several imaging applications. The discretised scheme is shown to preserve analogous properties to the continuous model. The dimensional splitting strategy traduces numerically into the solution of simple tridiagonal systems for which standard matrix factorisation techniques can be used to improve upon the performance of classical implicit methods, even for large time steps. Applications to the shadow removal problem are presented.
dc.publisherJournal of Physics: Conference Series
dc.titleAlternating Direction Implicit (ADI) schemes for a PDE-based image osmosis model
dc.typeConference Object


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