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Planar C2 cubic spline interpolation under geometric boundary conditions

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dc.contributor.author Ginnis, AI en
dc.contributor.author Kaklis, PD en
dc.date.accessioned 2014-03-01T01:18:13Z
dc.date.available 2014-03-01T01:18:13Z
dc.date.issued 2002 en
dc.identifier.issn 0167-8396 en
dc.identifier.uri https://dspace.lib.ntua.gr/xmlui/handle/123456789/14868
dc.subject Bessel end conditions en
dc.subject C2 cubic spline interpolation en
dc.subject Curve design en
dc.subject End conditions en
dc.subject G2 cubic spline interpolation en
dc.subject Geometric boundary conditions en
dc.subject Not-a-knot end conditions en
dc.subject Quadratic boundary conditions en
dc.subject Type-I end conditions en
dc.subject Type-II end conditions en
dc.subject.classification Computer Science, Software Engineering en
dc.subject.classification Mathematics, Applied en
dc.subject.other Boundary conditions en
dc.subject.other Computer aided design en
dc.subject.other Interpolation en
dc.subject.other Vectors en
dc.subject.other Geometric boundary conditions en
dc.subject.other Computational geometry 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.language English en
heal.publicationDate 2002 en
heal.abstract This paper deals with the problem of C-2 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 to necessary and sufficient conditions for all possible boundary-data configurations. A robust scheme for the numerical solution of the quadratic system is presented, and the use of the new boundary conditions is illustrated in the context of three examples. (C) 2002 Elsevier Science B.V. All rights reserved. en
heal.publisher ELSEVIER SCIENCE BV en
heal.journalName Computer Aided Geometric Design en
dc.identifier.doi 10.1016/S0167-8396(02)00091-2 en
dc.identifier.isi ISI:000176195300004 en
dc.identifier.volume 19 en
dc.identifier.issue 5 en
dc.identifier.spage 345 en
dc.identifier.epage 363 en


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