Explicit \(G^1\) approximation of conic sections using Bézier curves of arbitrary degree

DOI10.1016/j.cam.2015.07.016zbMath1329.65056OpenAlexW1182656611MaRDI QIDQ495126

Qian-Qian Hu

Publication date: 9 September 2015

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.2015.07.016

zbMATH Keywords

approximationBézier curvesgeometric continuityconic sections\(L_2\)-norm

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Approximation by rational functions (41A20)

Related Items (1)

Sequence of \(G^n\) LN polynomial curves approximating circular arcs

Cites Work

• Unnamed Item
• Unnamed Item
• Some new \(G^1\) quartic parametric approximants of circular arcs
• Approximating conic sections by constrained Bézier curves of arbitrary degree
• Bézier representation of the constrained dual Bernstein polynomials
• Gram matrix of Bernstein basis: properties and applications
• Approximation of conic sections by curvature continuous quartic Bézier curves
• High-order approximation of conic sections by quadratic splines
• Necessary and sufficient conditions for rational quartic representation of conic sections
• The rational cubic Bézier representation of conics
• An \(O(h^{2n})\) Hermite approximation for conic sections
• \(G^3\) approximation of conic sections by quintic polynomial curves
• \(G^1\) approximation of conic sections by quartic Bézier curves

This page was built for publication: Explicit \(G^1\) approximation of conic sections using Bézier curves of arbitrary degree