Controlling torsion sign

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	2014-03-01T01:30:02Z
dc.date.available	2014-03-01T01:30:02Z
dc.date.issued	2009	en
dc.identifier.issn	0167-8396	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19463
dc.subject	Fairing	en
dc.subject	Shape	en
dc.subject	Spatial curve	en
dc.subject	Torsion	en
dc.subject.classification	Computer Science, Software Engineering	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Curve fitting	en
dc.subject.other	Image coding	en
dc.subject.other	Splines	en
dc.subject.other	B-spline curves	en
dc.subject.other	Control points	en
dc.subject.other	Convex polyhedrons	en
dc.subject.other	Curve representations	en
dc.subject.other	Fairing	en
dc.subject.other	Free controls	en
dc.subject.other	Parametric domains	en
dc.subject.other	Shape	en
dc.subject.other	Sign constraints	en
dc.subject.other	Spatial curve	en
dc.subject.other	Sub intervals	en
dc.subject.other	Torsion	en
dc.subject.other	Torsional stress	en
dc.title	Controlling torsion sign	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.cagd.2008.12.003	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.cagd.2008.12.003	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	For all curve representations that adopt the control-point paradigm, we present a method for computing the domain, where a User-specified control point is free to move so that the corresponding spatial curve is regular and of constant sign of torsion along a subinterval of its parametric domain of definition. The method is illustrated for a Bezier and a B-spline curve. Furthermore, its utility for fairing curves under torsion-sign constraints in quadratic-programming context, is illustrated for a pair of Bezier curves. Finally, it is shown that the obtained results remain useful if, besides the User-selected free control point, neighboring ones are permitted to vary within convex polyhedra. (C) 2009 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.2008.12.003	en
dc.identifier.isi	ISI:000265813300004	en
dc.identifier.volume	26	en
dc.identifier.issue	4	en
dc.identifier.spage	396	en
dc.identifier.epage	411	en