G2curve design with planar quadratic rational Bézier spiral segments

DOI10.1080/00207160.2012.716831zbMath1278.65015OpenAlexW2082620525MaRDI QIDQ2868173

D. J. Walton, D. S. Meek

Publication date: 23 December 2013

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2012.716831

zbMATH Keywords

rationalspiralfair curveC-shapedquadratic Bézier

Mathematics Subject Classification ID

Computer science aspects of computer-aided design (68U07) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

• Unnamed Item
• A further generalisation of the planar cubic Bézier spiral
• \(G^{2}\) Hermite interpolation with circular precision
• G\(^{2}\) curves composed of planar cubic and Pythagorean hodograph quintic spirals
• A shape controled fitting method for Bézier curves
• Planar \(G^2\) curve design with spiral segments.
• Planar \(G^{2}\) transition curves composed of cubic Bézier spiral segments
• Designing Bézier conic segments with monotone curvature
• A planar cubic Bézier spiral
• G²blends of linear segments with cubics and Pythagorean-hodograph quintics

This page was built for publication: G²curve design with planar quadratic rational Bézier spiral segments