Planar C2 cubic spline interpolation under geometric boundary conditions

Kaklis, P; Ginnis, A

dc.contributor.author	Kaklis, P	en
dc.contributor.author	Ginnis, A	en
dc.date.accessioned	2014-03-01T01:51:42Z
dc.date.available	2014-03-01T01:51:42Z
dc.date.issued	2002	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/26396
dc.subject	Boundary Condition	en
dc.subject	Cubic Spline	en
dc.subject	Necessary and Sufficient Condition	en
dc.subject	Numerical Solution	en
dc.title	Planar C2 cubic spline interpolation under geometric boundary conditions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0167-8396(02)00091-2	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0167-8396(02)00091-2	en
heal.publicationDate	2002	en
heal.abstract	This paper deals with the problem of C2 cubic spline interpolation under geometric boundary conditions, that is, fixing the unit-tangent vector and the curvature at the end points of a planar point-set. The solvability of the resulting non-linear problem, which is equivalent to a quadratic system with respect to the lengths of the boundary tangent vectors, is exhaustively studied, leading	en
heal.journalName	Computer Aided Geometric Design	en
dc.identifier.doi	10.1016/S0167-8396(02)00091-2	en