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dc.contributor.authorBurger, Martin
dc.contributor.authorDirks, Hendrik
dc.contributor.authorSchönlieb, Carola-Bibiane
dc.date.accessioned2018-07-11T11:55:25Z
dc.date.available2018-07-11T11:55:25Z
dc.date.issued2018-01
dc.identifier.issn1936-4954
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/278026
dc.description.abstractThe aim of this paper is to derive and analyze a variational model for the joint estimation of motion and reconstruction of image sequences, which is based on a time-continuous Eulerian motion model. The model can be set up in terms of the continuity equation or the brightness constancy equation. The analysis in this paper focuses on the latter for robust motion estimation on sequences of twodimensional images. We rigorously prove the existence of a minimizer in a suitable function space setting. Moreover, we discuss the numerical solution of the model based on primal-dual algorithms and investigate several examples. Finally, the benefits of our model compared to existing techniques, such as sequential image reconstruction and motion estimation, are shown.
dc.description.sponsorshipThe work of the first author was also supported by the German Science Foundation DFG via EXC 1003 Cells in Motion Cluster of Excellence, M¨unster, Germany
dc.languageeng
dc.publisherSociety for Industrial and Applied Mathematics
dc.subjectdynamic image reconstruction
dc.subjectmotion estimation
dc.subjectimage denoising
dc.subjectjoint variational model
dc.subjectregularization
dc.subjectEulerian motion model
dc.titleA Variational Model for Joint Motion Estimation and Image Reconstruction
dc.typeArticle
prism.endingPage128
prism.issueIdentifier1
prism.publicationDate2018
prism.publicationNameSIAM Journal on Imaging Sciences
prism.startingPage94
prism.volume11
dc.identifier.doi10.17863/CAM.25352
dcterms.dateAccepted2017-09-12
rioxxterms.versionofrecord10.1137/16M1084183
rioxxterms.versionVoR
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.licenseref.startdate2018-01
dc.identifier.eissn1936-4954
dc.publisher.urlhttps://epubs.siam.org/doi/10.1137/16M1084183
rioxxterms.typeJournal Article/Review
pubs.funder-project-idEngineering and Physical Sciences Research Council (EP/H023348/1)
pubs.funder-project-idRoyal Society (IE110314)
pubs.funder-project-idEngineering and Physical Sciences Research Council (EP/M00483X/1)
pubs.funder-project-idLeverhulme Trust (RPG-2015-250)
pubs.funder-project-idEngineering and Physical Sciences Research Council (EP/N014588/1)
pubs.funder-project-idEuropean Commission Horizon 2020 (H2020) Marie Sk?odowska-Curie actions (691070)
pubs.funder-project-idAlan Turing Institute (unknown)
pubs.funder-project-idEngineering and Physical Sciences Research Council (EP/J009539/1)
cam.issuedOnline2018-01-11
dc.identifier.urlhttps://epubs.siam.org/doi/10.1137/16M1084183
cam.orpheus.successThu Jan 30 13:01:28 GMT 2020 - Embargo updated
rioxxterms.freetoread.startdate2018-01-01


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