Offsets of curves on rational B-spline surfaces

Patrikalakis, NM; Bardis, L

dc.contributor.author	Patrikalakis, NM	en
dc.contributor.author	Bardis, L	en
dc.date.accessioned	2014-03-01T01:07:32Z
dc.date.available	2014-03-01T01:07:32Z
dc.date.issued	1989	en
dc.identifier.issn	0177-0667	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10060
dc.subject	b-spline surface	en
dc.subject	Design Process	en
dc.subject	Geometric Model	en
dc.subject	Parameter Space	en
dc.subject	Parametric Surface	en
dc.subject	Spline Interpolation	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.other	Computer Graphics	en
dc.subject.other	Mathematical Techniques--Polynomials	en
dc.subject.other	Splines	en
dc.subject.other	B-Spline Surfaces	en
dc.subject.other	Offset Curves	en
dc.subject.other	Parametric Surfaces	en
dc.subject.other	Surfaces	en
dc.title	Offsets of curves on rational B-spline surfaces	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01201996	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01201996	en
heal.language	English	en
heal.publicationDate	1989	en
heal.abstract	The construction of offset curves is an important problem encountered often in design processes and in interrogation of geometric models. In this paper the problem of construction of offsets of curves lying on the same parametric surface is addressed. A novel algorithm is introduced, whose main feature is the use of geodesic paths to determine points of the offset. The offset is then approximated in the underlying surface parameter space by B-splines interpolating data points obtained by traveling a known distance along the geodesics departing from corresponding points of the progenitor in a direction perpendicular to the latter. A comprehensive error checking scheme has been devised allowing adaptive improvement of the approximation of the offset. The applicability of the algorithm is demonstrated by number of numerical examples. © 1989 Springer-Verlag New York Inc.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Engineering with Computers	en
dc.identifier.doi	10.1007/BF01201996	en
dc.identifier.isi	ISI:A1989T465900004	en
dc.identifier.volume	5	en
dc.identifier.issue	1	en
dc.identifier.spage	39	en
dc.identifier.epage	46	en