\(C^{1}\) NURBS representations of \(G^{1}\) composite rational Bézier curves

DOI10.1007/s00607-009-0057-4zbMath1176.65015OpenAlexW1979597637MaRDI QIDQ1034752

Jianmin Zheng

Publication date: 6 November 2009

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-009-0057-4

zbMATH Keywords

algorithmnumerical exampleMöbius transformationsreparameterization\(C^1\)-continuitycomposite rational Bézier curvenonuniform rational \(B\)-spline (NURBS) curveparameter scaling transformationssmoothing multiplication

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

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• Reduced-knot NURBS representations of rational \(G^ 1\) composite Bézier curves
• A rational quartic Bézier representation for conics
• Skinning techniques for interactive B-spline surface interpolation
• Projective transformations of the parameter of a Bernstein-Bézier curve
• Rational continuity: parametric, geometric, and Frenet frame continuity of rational curves
• Skinning rational B-spline curves to construct an interpolatory surface
• Reparameterization of piecewise rational Bezier curves and its applications

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