An iterative algorithm for polynomial approximation of rational triangular Bézier surfaces

DOI10.1016/j.amc.2013.03.053zbMath1288.65019OpenAlexW1993521724MaRDI QIDQ2453331

Qian-Qian Hu

Publication date: 6 June 2014

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

Full work available at URL: https://doi.org/10.1016/j.amc.2013.03.053

zbMATH Keywords

polynomial approximationtriangular Bernstein basisrational triangular Bézier surfacesGauss Legendre quadrature ruleweighted progressive iteration

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (5)

Bézier form of dual bivariate Bernstein polynomials ⋮ Generalized and optimal sequence of weights on a progressive‐iterative approximation method with memory for least square fitting ⋮ Constrained approximation of rational triangular Bézier surfaces by polynomial triangular Bézier surfaces ⋮ On a progressive and iterative approximation method with memory for least square fitting ⋮ Preconditioned progressive iterative approximation for triangular Bézier patches and its application

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sample-based polynomial approximation of rational Bézier curves
• Weighted progressive iteration approximation and convergence analysis
• Local progressive-iterative approximation format for blending curves and patches
• Progressive iterative approximation and bases with the fastest convergence rates
• A simple method for approximating rational Bézier curve using Bézier curves
• Totally positive bases and progressive iteration approximation
• Constructing iterative non-uniform \(B\)-spline curve and surface to fit data points
• Approximating rational triangular Bézier surfaces by polynomial triangular Bézier surfaces
• The octant of a sphere as a non-degenerate triangular Bézier patch
• On the convergence of polynomial approximation of rational functions
• The eigenstructure of the Bernstein operator
• On the application of two symmetric Gauss-Legendre quadrature rules for composite numerical integration over a triangular surface
• High order approximation of rational curves by polynomial curves

This page was built for publication: An iterative algorithm for polynomial approximation of rational triangular Bézier surfaces