A simple method for approximating rational Bézier curve using Bézier curves

DOI10.1016/j.cagd.2008.03.001zbMath1172.65328OpenAlexW2037456281MaRDI QIDQ735525

Huaming Su, Youdu Huang, Hong-Wei Lin

Publication date: 22 October 2009

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2008.03.001

zbMATH Keywords

uniform convergencedegree elevationrational Bézier curveapproximation with polynomial

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (8)

Sample-based polynomial approximation of rational Bézier curves ⋮ Polynomial approximation of rational Bézier curves with constraints ⋮ On the convergence of approximating tensor-product rational Bézier surfaces using tensor-product Bézier surfaces ⋮ Constrained polynomial approximation of rational Bézier curves using reparameterization ⋮ An iterative algorithm for polynomial approximation of rational triangular Bézier surfaces ⋮ The use of Jacobi wavelets for constrained approximation of rational Bézier curves ⋮ Polynomial accelerated iterative approximation for higher order and rational Bézier curves ⋮ Approximating rational triangular Bézier surfaces by polynomial triangular Bézier surfaces

Cites Work

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• On the convergence of polynomial approximation of rational functions
• High order approximation of rational curves by polynomial curves
• Bounds on the Moving Control Points of Hybrid Curves

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