Curvature-sign-type boundary conditions in parametric cubic-spline interpolation

Kaklis, PD; Sapidis, NS

dc.contributor.author	Kaklis, PD	en
dc.contributor.author	Sapidis, NS	en
dc.date.accessioned	2014-03-01T01:09:47Z
dc.date.available	2014-03-01T01:09:47Z
dc.date.issued	1994	en
dc.identifier.issn	0167-8396	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11191
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0028483832&partnerID=40&md5=9935effda46d9f318b1260961f3c34c2	en
dc.subject.classification	Computer Science, Software Engineering	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Algorithms	en
dc.subject.other	Boundary element method	en
dc.subject.other	Geometry	en
dc.subject.other	Curvature sign type boundary conditions	en
dc.subject.other	Parametric cubic spline interpolation	en
dc.subject.other	Interpolation	en
dc.title	Curvature-sign-type boundary conditions in parametric cubic-spline interpolation	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1994	en
heal.abstract	In this paper we prove a necessary and sufficient condition ensuring that the following problem possesses a solution: construct a twice-continuous cubic parametric spline, which interpolates a given set of planar points with a given parametrization and satisfies curvature-sign-type boundary conditions, i.e., the sign of the curvature is prescribed at the boundary points of the data. Based on this solvability condition, we also derive and numerically test a simple interactive algorithm that solves the above problem. © 1994.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Computer Aided Geometric Design	en
dc.identifier.isi	ISI:A1994PB45100005	en
dc.identifier.volume	11	en
dc.identifier.issue	4	en
dc.identifier.spage	425	en
dc.identifier.epage	450	en