Quantifying the effect of a control point on the sign of curvature

Karousos, EI; Ginnis, AI; Kaklis, PD

dc.contributor.author	Karousos, EI	en
dc.contributor.author	Ginnis, AI	en
dc.contributor.author	Kaklis, PD	en
dc.date.accessioned	2014-03-01T01:26:57Z
dc.date.available	2014-03-01T01:26:57Z
dc.date.issued	2007	en
dc.identifier.issn	0010-485X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18305
dc.subject	Control point	en
dc.subject	Convexity	en
dc.subject	Curvature	en
dc.subject	Envelope	en
dc.subject	Planar curves	en
dc.subject	Shape	en
dc.subject.classification	Computer Science, Theory & Methods	en
dc.subject.other	Control points	en
dc.subject.other	Control-point paradigm	en
dc.subject.other	Convexity	en
dc.subject.other	Curvature	en
dc.subject.other	Envelope	en
dc.subject.other	Planar curves	en
dc.subject.other	Computational geometry	en
dc.subject.other	Computer simulation	en
dc.subject.other	Curve fitting	en
dc.subject.other	Parameter estimation	en
dc.subject.other	Computational methods	en
dc.title	Quantifying the effect of a control point on the sign of curvature	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00607-006-0202-2	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00607-006-0202-2	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	We present a method for computing the domain, where a control point is free to move so that the corresponding planar curve is regular and of constant sign of curvature along a subinterval of its parametric domain of definition. The approach encompasses all curve representations that adopt the control-point paradigm and is illustrated for a quintic Bézier curve and a B-spline curve of degree 10. © Springer-Verlag Wien 2007.	en
heal.publisher	SPRINGER WIEN	en
heal.journalName	Computing (Vienna/New York)	en
dc.identifier.doi	10.1007/s00607-006-0202-2	en
dc.identifier.isi	ISI:000245521200015	en
dc.identifier.volume	79	en
dc.identifier.issue	2-4	en
dc.identifier.spage	249	en
dc.identifier.epage	259	en