Approximate conversion of rational B-spline patches

Bardis, L; Patrikalakis, NM

dc.contributor.author	Bardis, L	en
dc.contributor.author	Patrikalakis, NM	en
dc.date.accessioned	2014-03-01T01:07:23Z
dc.date.available	2014-03-01T01:07:23Z
dc.date.issued	1989	en
dc.identifier.issn	01678396	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9969
dc.subject	approximation	en
dc.subject	B-spline surface patches	en
dc.subject	degree elevation	en
dc.subject	degree reduction	en
dc.subject	knot refinement	en
dc.subject.other	Computer Aided Design--Surfaces	en
dc.subject.other	Computer Programming--Algorithms	en
dc.subject.other	B Spline Surface Patches	en
dc.subject.other	Bezier Surface Patches	en
dc.subject.other	Computer Aided Geometric Design	en
dc.subject.other	Global Error Bounds	en
dc.subject.other	Interpolation	en
dc.subject.other	Piecewise Polynomial Patches	en
dc.subject.other	Mathematical Techniques	en
dc.title	Approximate conversion of rational B-spline patches	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0167-8396(89)90023-X	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0167-8396(89)90023-X	en
heal.publicationDate	1989	en
heal.abstract	The exchange of data between different geometric modeling systems frequently requires approximate conversions of rational Bézier and B-spline surface patches to lower degree integral B-spline representations. High-degree piecewise polynomial patches arise from fitting applications and indirectly from processing of trimmed patches. Accurate conversion of such geometries to lower degree integral representations is required in many modeling environments. The objective of this paper is to provide an efficient algorithm for the approximation of nonuniform rational B-spline surface patches with non-uniform integral B-spline patches of lower degree. Global error bounds, necessary in verifying accurate approximation, are derived. © 1989.	en
heal.journalName	Computer Aided Geometric Design	en
dc.identifier.doi	10.1016/0167-8396(89)90023-X	en
dc.identifier.volume	6	en
dc.identifier.issue	3	en
dc.identifier.spage	189	en
dc.identifier.epage	204	en