Surface approximation with rational B-splines

Bardis, L; Patrikalakis, NM

dc.contributor.author	Bardis, L	en
dc.contributor.author	Patrikalakis, NM	en
dc.date.accessioned	2014-03-01T01:08:10Z
dc.date.available	2014-03-01T01:08:10Z
dc.date.issued	1990	en
dc.identifier.issn	0177-0667	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10306
dc.subject	Approximate Algorithm	en
dc.subject	b-spline curve	en
dc.subject	b-spline surface	en
dc.subject	Canonical Representation	en
dc.subject	Geometric Model	en
dc.subject	Numerical Experiment	en
dc.subject	Parametric Surface	en
dc.subject	Surface Approximation	en
dc.subject	Surface Model	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.other	Mathematical Techniques--Algorithms	en
dc.subject.other	Approximation Algorithms	en
dc.subject.other	B-Splines	en
dc.subject.other	Canonical Representations	en
dc.subject.other	Surfaces	en
dc.title	Surface approximation with rational B-splines	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01200370	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01200370	en
heal.language	English	en
heal.publicationDate	1990	en
heal.abstract	Many modern geometric modelers use nonuniform rational B-spline curves and surfaces as their canonical representations. Rational B-splines are a versatile representation, encompassing integral B-splines and the basic classical primitives such as conics, quadrics, and torii. However, rational B-splines representations other than these classical primitives have found little application in surface modeling. In this paper we develop approximation algorithms based on the general rational B-spline formulation. Numerical experiments indicate that rational B-splines allow a significantly more compact approximation of two classes of parametric surfaces in comparison to integral B-splines. The two classes of surfaces studied are generalized cylinders and offsets of a rational B-spline surface patch progenitor. © 1990 Springer-Verlag New York Inc.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Engineering with Computers	en
dc.identifier.doi	10.1007/BF01200370	en
dc.identifier.isi	ISI:A1990EG22900003	en
dc.identifier.volume	6	en
dc.identifier.issue	4	en
dc.identifier.spage	223	en
dc.identifier.epage	235	en