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dc.contributor.authorDalmo, Rune
dc.date.accessioned2020-08-05T11:13:34Z
dc.date.available2020-08-05T11:13:34Z
dc.date.issued2013-12-31
dc.description.abstractExpo-rational B-splines (ERBS) provide a blending type construction where local functions at each knot are blended together by infinitely smooth basis functions. In this work we consider some specific ERBS curves that are approximations of parametric curves. We study local refinement to increase flexibility by inserting local control curves at points of interest on the ERBS curve. Inserting knots into an existing B-spline knot vector results in a new spline space which contains the original spline space as a sub-space. In contrast to B-splines, knot insertion with ERBS results in a rational local function. We investigate methods to generate local curves of different brands. Using this, we blend extra local curves with the original ERBS curve, by knot insertion, and compare the differences with respect to geometric shape and approximation errors.en_US
dc.identifier.citationDalmo, R. (2013) Local refinement of ERBS curves. I Pasheva, V.; Venkov, G. (eds.) <i>Proceedings of 39TH INTERNATIONAL CONFERENCE APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS AMEE13, 1570</i>, American Institute of Physics, 204-211. http://dx.doi.org/10.1063/1.4854757en_US
dc.identifier.cristinIDFRIDAID 1102876
dc.identifier.doi10.1063/1.4854757
dc.identifier.isbn978-07354-1198-2
dc.identifier.issn0094-243X
dc.identifier.issn1551-7616
dc.identifier.urihttps://hdl.handle.net/10037/18919
dc.language.isoengen_US
dc.publisherAmerican Institute of Physics (AIP)en_US
dc.rights.accessRightsopenAccessen_US
dc.rights.holderCopyright AIP Publishingen_US
dc.subjectVDP::Technology: 500::Information and communication technology: 550::Computer technology: 551en_US
dc.subjectVDP::Teknologi: 500::Informasjons- og kommunikasjonsteknologi: 550::Datateknologi: 551en_US
dc.titleLocal refinement of ERBS curvesen_US
dc.type.versionacceptedVersionen_US
dc.typeJournal articleen_US
dc.typePeer revieweden_US
dc.typeChapteren_US


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