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dc.contributor.authorBoscain, U.
dc.contributor.authorCharlot, G.
dc.contributor.authorRossi, F.
dc.date.accessioned2017-02-21T08:18:17Z
dc.date.available2017-02-21T08:18:17Z
dc.date.issued2009-12-31
dc.identifier.isbn978-1-42-443871-6
dc.identifier.issn0191-2216
dc.identifier.urihttp://hdl.handle.net/20.500.11824/509
dc.description.abstractIn this paper we consider the problem of reconstructing a curve that is partially hidden or corrupted by minimizing the functional ∫ √1+K 2 ds, depending both on length and curvature K. We fix starting and ending points as well as initial and final directions. For this functional, we find non-existence of minimizers on various functional spaces in which the problem is naturally formulated. In this case, minimizing sequences of trajectories can converge to curves with angles. We instead prove existence of minimizers for the "time-reparameterized" functional ∫
dc.description.abstractγ(t)
dc.description.abstract√1+Kγ2 dt for all boundary conditions if initial and final directions are considered regardless to orientation. ©2009 IEEE.
dc.formatapplication/pdf
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectElastica functional
dc.subjectExistence of minimizers
dc.subjectGeometry of vision
dc.titleMinimization of length and curvature on planar curves
dc.typeinfo:eu-repo/semantics/conferenceObjecten_US
dc.identifier.doi10.1109/CDC.2009.5399749
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-77950810494&doi=10.1109%2fCDC.2009.5399749&partnerID=40&md5=b712595956b0dc1e6ab4df68cc0c3b56
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleProceedings of the IEEE Conference on Decision and Controlen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España