Rationalization of a class of space B-spline curves based on piecewise projective transform

DOI10.1080/00207160500069896zbMath1075.65026OpenAlexW2115386458MaRDI QIDQ5312703

Guo-Hua Peng, Xiao-Ping Wang, Zheng-Lin Ye

Publication date: 25 August 2005

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160500069896

zbMATH Keywords

rationalizationNURBSgeometric invariancenurbsgeneralized B-spline curvenon-uniform rational B-spline curvesprojective transformhomogeneous coordinate

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

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• CAD surface data exchange using STEP
• Improperly parametrized rational curves
• Curve and surface constructions using rational B-splines
• Modifying the shape of rational B-splines. I: Curves
• Modifying the shape of rational B-splines. II: Surfaces
• \(G^2\) composite cubic Bézier curves
• Rational linear reparametrization of NURBS and the blossoming principle
• Identification of inflection points and cusps on rational curves

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