On the local shape effect of a moving control point

Koras, GD; Kaklis, PD

dc.contributor.author	Koras, GD	en
dc.contributor.author	Kaklis, PD	en
dc.date.accessioned	2014-03-01T01:19:22Z
dc.date.available	2014-03-01T01:19:22Z
dc.date.issued	2003	en
dc.identifier.issn	0167-8396	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15450
dc.subject	Control point	en
dc.subject	Local convexity	en
dc.subject	Parametric surface	en
dc.subject	Shape preservation	en
dc.subject.classification	Computer Science, Software Engineering	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Approximation theory	en
dc.subject.other	Computational geometry	en
dc.subject.other	Graph theory	en
dc.subject.other	Problem solving	en
dc.subject.other	Local convexity	en
dc.subject.other	Shape preservation	en
dc.subject.other	Computer aided design	en
dc.title	On the local shape effect of a moving control point	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.cagd.2003.07.010	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.cagd.2003.07.010	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	In this paper we prove that the domain, where a control point of a parametric surface is permitted to move in order to ascertain local convexity at a finite set of parametric points, is a convex polyhedron. This result can be exploited for fine surface design, which is herein illustrated for two test surfaces. (C) 2003 Elsevier B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Computer Aided Geometric Design	en
dc.identifier.doi	10.1016/j.cagd.2003.07.010	en
dc.identifier.isi	ISI:000187246400005	en
dc.identifier.volume	20	en
dc.identifier.issue	8-9	en
dc.identifier.spage	549	en
dc.identifier.epage	562	en