Please use this identifier to cite or link to this item: https://hdl.handle.net/10316/4612
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dc.contributor.authorJakubiak, Janusz-
dc.contributor.authorLeite, Fátima Silva-
dc.contributor.authorRodrigues, Rui C.-
dc.date.accessioned2008-09-01T11:35:15Z-
dc.date.available2008-09-01T11:35:15Z-
dc.date.issued2006en_US
dc.identifier.citationJournal of Computational and Applied Mathematics. 194:2 (2006) 177-191en_US
dc.identifier.urihttps://hdl.handle.net/10316/4612-
dc.description.abstractThis paper presents a simple geometric algorithm to generate splines of arbitrary degree of smoothness in Euclidean spaces. Unlike other existing methods, this simple geometric algorithm does not require a recursive procedure and, consequently, introduces a significant reduction in calculation time. The algorithm is then extended to other complete Riemannian manifolds, namely to matrix Lie groups and spheres.en_US
dc.description.urihttp://www.sciencedirect.com/science/article/B6TYH-4GY8919-1/1/9cd210c7d197d60af876560487e21106en_US
dc.format.mimetypeaplication/PDFen
dc.language.isoengeng
dc.rightsopenAccesseng
dc.subjectSpline functionen_US
dc.subjectInterpolationen_US
dc.subjectRiemannian manifolden_US
dc.subjectLie groupen_US
dc.subjectRigid body motionen_US
dc.titleA two-step algorithm of smooth spline generation on Riemannian manifoldsen_US
dc.typearticleen_US
dc.identifier.doi10.1016/j.cam.2005.07.003-
item.grantfulltextopen-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextCom Texto completo-
item.openairetypearticle-
item.cerifentitytypePublications-
item.languageiso639-1en-
crisitem.author.orcid0000-0003-2227-4259-
Appears in Collections:FCTUC Matemática - Artigos em Revistas Internacionais
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