A note on quintic polynomial approximation of generalized Cornu spiral segments

DOI10.1016/j.cam.2013.04.010zbMath1288.65022OpenAlexW2074037943MaRDI QIDQ2453185

Li-Zheng Lu

Publication date: 6 June 2014

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.2013.04.010

zbMATH Keywords

approximationgeneralized Cornu spiralquintic Bézier polynomial\(G^3\) continuity

Mathematics Subject Classification ID

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

Uses Software

• Matlab

Cites Work

• \(G^3\) quintic polynomial approximation for generalised Cornu spiral segments
• The best \(G^{1}\) cubic and \(G^{2}\) quartic Bézier approximations of circular arcs
• Smooth polynomial approximation of spiral arcs
• Non-existence of rational arc length parameterizations for curves in \(\mathbb R^n\)
• The generalised Cornu spiral and its application to span generation
• Sampling points on regular parametric curves with control of their distribution
• Unnamed Item

This page was built for publication: A note on quintic polynomial approximation of generalized Cornu spiral segments