Shape-preserving interpolation in ℝ3

Kaklis, PD; Karavelas, MI

dc.contributor.author	Kaklis, PD	en
dc.contributor.author	Karavelas, MI	en
dc.date.accessioned	2014-03-01T01:13:20Z
dc.date.available	2014-03-01T01:13:20Z
dc.date.issued	1997	en
dc.identifier.issn	0272-4979	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12435
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0040512844&partnerID=40&md5=cf609cdbd5be53b5f7328b587ef87d1b	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	SPLINES	en
dc.subject.other	CURVES	en
dc.title	Shape-preserving interpolation in ℝ3	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1997	en
heal.abstract	In this paper we develop and test a simple automatic algorithm for constructing curvature- and torsion-continuous interpolants in R-3, which are shape-preserving in a sense that takes into account the convexity, torsion, coplanarity and collinearity information contained in the polygonal line connecting the interpolation points. This algorithm exploits the asymptotic properties of a family of C-2-continuous polynomial splines of non-uniform degree, which tend to the above-mentioned polygonal line, as the segment degrees tend to infinity. The performance of the algorithm is tested for a three-dimensional data set, containing coplanar and collinear groups of points as well.	en
heal.publisher	OXFORD UNIV PRESS	en
heal.journalName	IMA Journal of Numerical Analysis	en
dc.identifier.isi	ISI:A1997XJ28600003	en
dc.identifier.volume	17	en
dc.identifier.issue	3	en
dc.identifier.spage	373	en
dc.identifier.epage	419	en