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Article: Reparameterization of rational triangular Bézier surfaces

TitleReparameterization of rational triangular Bézier surfaces
Authors
KeywordsInversion
Quadric Surface
Rational Triangular Bézier Surface
Reparameterization
Issue Date1994
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cagd
Citation
Computer Aided Geometric Design, 1994, v. 11 n. 4, p. 345-361 How to Cite?
AbstractThe inversion formula for a parametric surface gives the parameter values for any point on the surface. We show how the inversion formula can be used to solve two reparameterization problems for rational Bézier surfaces. The first is reparameterizing a rational triangular Bézier surface to get a triangular Bézier patch on the surface with any three given corner points. The second is reparameterizing a given parameterization of a quadric surface to get a triangular Bézier patch with three given planar boundary curve segments. Rational linear reparameterizations are used for the first problem, and rational quadratic reparameterizations are used for the second problem. © 1994.
Persistent Identifierhttp://hdl.handle.net/10722/152248
ISSN
2015 Impact Factor: 1.092
2015 SCImago Journal Rankings: 1.024

 

DC FieldValueLanguage
dc.contributor.authorJoe, Ben_US
dc.contributor.authorWang, Wen_US
dc.date.accessioned2012-06-26T06:36:44Z-
dc.date.available2012-06-26T06:36:44Z-
dc.date.issued1994en_US
dc.identifier.citationComputer Aided Geometric Design, 1994, v. 11 n. 4, p. 345-361en_US
dc.identifier.issn0167-8396en_US
dc.identifier.urihttp://hdl.handle.net/10722/152248-
dc.description.abstractThe inversion formula for a parametric surface gives the parameter values for any point on the surface. We show how the inversion formula can be used to solve two reparameterization problems for rational Bézier surfaces. The first is reparameterizing a rational triangular Bézier surface to get a triangular Bézier patch on the surface with any three given corner points. The second is reparameterizing a given parameterization of a quadric surface to get a triangular Bézier patch with three given planar boundary curve segments. Rational linear reparameterizations are used for the first problem, and rational quadratic reparameterizations are used for the second problem. © 1994.en_US
dc.languageengen_US
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cagden_US
dc.relation.ispartofComputer Aided Geometric Designen_US
dc.subjectInversionen_US
dc.subjectQuadric Surfaceen_US
dc.subjectRational Triangular Bézier Surfaceen_US
dc.subjectReparameterizationen_US
dc.titleReparameterization of rational triangular Bézier surfacesen_US
dc.typeArticleen_US
dc.identifier.emailWang, W:wenping@cs.hku.hken_US
dc.identifier.authorityWang, W=rp00186en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0028484454en_US
dc.identifier.volume11en_US
dc.identifier.issue4en_US
dc.identifier.spage345en_US
dc.identifier.epage361en_US
dc.publisher.placeNetherlandsen_US
dc.identifier.scopusauthoridJoe, B=7005294816en_US
dc.identifier.scopusauthoridWang, W=35147101600en_US

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