Localization of rational B-spline surfaces

Patrikalakis, NM; Bardis, L

dc.contributor.author	Patrikalakis, NM	en
dc.contributor.author	Bardis, L	en
dc.date.accessioned	2014-03-01T01:08:25Z
dc.date.available	2014-03-01T01:08:25Z
dc.date.issued	1991	en
dc.identifier.issn	0177-0667	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10478
dc.subject	b-spline surface	en
dc.subject	Data Exchange	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.other	Control, Mechanical Variables--Position	en
dc.subject.other	Mechanical Engineering--Computer Aided Engineering	en
dc.subject.other	B-Spline Surfaces	en
dc.subject.other	Curved Surfaces Localization	en
dc.subject.other	Surfaces	en
dc.title	Localization of rational B-spline surfaces	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01206365	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01206365	en
heal.language	English	en
heal.publicationDate	1991	en
heal.abstract	Localization of curved surfaces is an important problem in the manufacturing and inspection of mechanical elements and in the simulation of manufacturing processes. The objective of this paper is to provide an efficient method for accurate localization of a single free-form surface of the rational B-spline form. Our approach is based on the following components-first, representation of position tolerances in terms of a ball offset tolerance region around the ideal rational spline surface; to facilitate interrogation and data exchange, this is followed by approximation of the bounding surfaces of the tolerance region with rational B-splines; next, optimal positioning of the target surface with respect to the ideal surface by minimizing a distance-based norm; finally, verification of compliance with position tolerance constraints. Examples illustrate our technique. © 1991 Springer-Verlag New York Inc.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Engineering with Computers	en
dc.identifier.doi	10.1007/BF01206365	en
dc.identifier.isi	ISI:A1991GJ30900004	en
dc.identifier.volume	7	en
dc.identifier.issue	4	en
dc.identifier.spage	237	en
dc.identifier.epage	252	en