Convexity-preserving interpolatory parametric splines of non-uniform polynomial degree

Kaklis, PD; Sapidis, NS

dc.contributor.author	Kaklis, PD	en
dc.contributor.author	Sapidis, NS	en
dc.date.accessioned	2014-03-01T01:10:54Z
dc.date.available	2014-03-01T01:10:54Z
dc.date.issued	1995	en
dc.identifier.issn	01678396	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11479
dc.subject	c-p (convexity-preserving) interpolant	en
dc.subject	Local, semi-local and global increase of degrees	en
dc.subject	Polynomial splines of non-uniform degree	en
dc.subject.other	Algorithms	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Data structures	en
dc.subject.other	Geometry	en
dc.subject.other	Interpolation	en
dc.subject.other	Performance	en
dc.subject.other	Polynomials	en
dc.subject.other	Convexity preserving interpolatory parametric splines	en
dc.subject.other	Functional data	en
dc.subject.other	Non uniform polynomial degree	en
dc.subject.other	Computer aided design	en
dc.title	Convexity-preserving interpolatory parametric splines of non-uniform polynomial degree	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0167-8396(93)E0053-G	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0167-8396(93)E0053-G	en
heal.publicationDate	1995	en
heal.abstract	In this paper we present a simple automatic algorithm for constructing C2 continuous planar parametric interpolants, which preserve the local-convexity information contained in the interpolation point set and the imposed boundary conditions. The algorithm exploits the shape-preserving capabilities of a special family of polynomial splines of non-uniform degree, introduced, for the case of functional data, in (Kaklis and Pandelis, 1990). The numerical performance of the algorithm is discussed for three data sets and various parametrizations. © 1995.	en
heal.journalName	Computer Aided Geometric Design	en
dc.identifier.doi	10.1016/0167-8396(93)E0053-G	en
dc.identifier.volume	12	en
dc.identifier.issue	1	en
dc.identifier.spage	1	en
dc.identifier.epage	26	en