Approximating rational triangular Bézier surfaces by polynomial triangular Bézier surfaces

DOI10.1016/j.cam.2008.09.030zbMath1167.65011OpenAlexW1963485420MaRDI QIDQ1019799

Hui-Xia Xu, Guo-Jin Wang

Publication date: 28 May 2009

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.2008.09.030

zbMATH Keywords

approximationhybrid algorithmrational triangular Bézier surfacedegree-elevationpolynomial triangular Bézier surface

Mathematics Subject Classification ID

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

Related Items

The conditions of convexity for Bernstein-Bézier surfaces over triangles, An iterative algorithm for polynomial approximation of rational triangular Bézier surfaces, Constrained approximation of rational triangular Bézier surfaces by polynomial triangular Bézier surfaces, Preconditioned progressive iterative approximation for triangular Bézier patches and its application

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A simple method for approximating rational Bézier curve using Bézier curves
• 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
• Bernstein Polynomials for Functions of Two Variables of Class C (k)