Fairing of 2D B-splines under design constraints

Pigounakis, KG; Kaklis, PD

dc.contributor.author	Pigounakis, KG	en
dc.contributor.author	Kaklis, PD	en
dc.date.accessioned	2014-03-01T01:14:40Z
dc.date.available	2014-03-01T01:14:40Z
dc.date.issued	1999	en
dc.identifier.issn	0169-121X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13173
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0032632169&partnerID=40&md5=b3648dbd96edba808a74ea08284cfddc	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	Algorithms	en
dc.subject.other	Computer aided design	en
dc.subject.other	Design	en
dc.subject.other	Splines	en
dc.subject.other	Two dimensional	en
dc.subject.other	Nonlinear constrained minimization	en
dc.subject.other	Curve fitting	en
dc.title	Fairing of 2D B-splines under design constraints	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1999	en
heal.abstract	The paper proposes a method for fairing planar B-splines under design conditions that frequently occur in the CAD practice, namely end, tolerance, area, moments-of-area and local-convexity conditions. The formulation of the problem is classified in non-linear constrained minimization. The control vertices of the curve to be faired are the free variables of the problem, which is numerically solved with the aid of the Sequential-Quadratic-Programming technique. The performance of the implemented algorithm is tested and discussed in the context of a ship-design example. © VSP 1998.	en
heal.publisher	VSP BV	en
heal.journalName	Mathematical Engineering in Industry	en
dc.identifier.isi	ISI:000078539300005	en
dc.identifier.volume	7	en
dc.identifier.issue	2	en
dc.identifier.spage	165	en
dc.identifier.epage	178	en