Low-degree approximation of high-degree B-spline surfaces

Tuohy, ST; Bardis, L

dc.contributor.author	Tuohy, ST	en
dc.contributor.author	Bardis, L	en
dc.date.accessioned	2014-03-01T01:09:26Z
dc.date.available	2014-03-01T01:09:26Z
dc.date.issued	1993	en
dc.identifier.issn	0177-0667	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10986
dc.subject	Data exchange	en
dc.subject	Surface approximation	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.other	Approximation theory	en
dc.subject.other	Computational methods	en
dc.subject.other	Computer aided design	en
dc.subject.other	Computer aided engineering	en
dc.subject.other	Computer aided manufacturing	en
dc.subject.other	Data processing	en
dc.subject.other	Error analysis	en
dc.subject.other	Geometry	en
dc.subject.other	Hulls (ship)	en
dc.subject.other	Morphology	en
dc.subject.other	Polynomials	en
dc.subject.other	Product design	en
dc.subject.other	Data exchange	en
dc.subject.other	High degree B-spline surfaces	en
dc.subject.other	Low degree approximation	en
dc.subject.other	Surface approximation	en
dc.subject.other	Surfaces	en
dc.title	Low-degree approximation of high-degree B-spline surfaces	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01201900	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01201900	en
heal.language	English	en
heal.publicationDate	1993	en
heal.abstract	In this paper, a method for approximate conversion of high degree Bezier and B-spline surfaces to lower degree representations is presented to facilitate the exchange of surface geometry between different geometric modeling systems. Building on previous work on curve approximation, the method uses adaptive sampling to compute approximation error and lofting of isoparametric curves to produce the approximating surface. In addition, a bound for the approximation accuracy is computed using convex hulls. © 1993 Springer-Verlag London Limited.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Engineering with Computers	en
dc.identifier.doi	10.1007/BF01201900	en
dc.identifier.isi	ISI:A1993MU01900002	en
dc.identifier.volume	9	en
dc.identifier.issue	4	en
dc.identifier.spage	198	en
dc.identifier.epage	209	en