Sample-based polynomial approximation of rational Bézier curves

DOI10.1016/j.cam.2010.08.008zbMath1204.65016OpenAlexW2063605283MaRDI QIDQ611829

Li-Zheng Lu

Publication date: 14 December 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.08.008

zbMATH Keywords

convergenceiterationnumerical examplespolynomial approximationrational Bézier curvescontrol points\(L_p\)-error

Mathematics Subject Classification ID

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

Related Items (8)

Preconditioned progressive iterative approximation for tensor product Bézier patches ⋮ 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 ⋮ High-quality point sampling for B-spline fitting of parametric curves with feature recognition ⋮ Polynomial accelerated iterative approximation for higher order and rational Bézier curves

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