Curve design with more general planar Pythagorean-hodograph quintic spiral segments

DOI10.1016/J.CAGD.2013.05.002zbMath1286.65026OpenAlexW1972116990WikidataQ114202367 ScholiaQ114202367MaRDI QIDQ2443067

D. J. Walton, D. S. Meek

Publication date: 4 April 2014

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2013.05.002

zbMATH Keywords

Bézier curvespiralcomputer aided design (CAD)computer aided manufactoring (CAM)Pythagorean-hodograph quintic

Mathematics Subject Classification ID

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

Related Items (6)

Geometric Hermite interpolation by logarithmic arc splines ⋮ Geometric characteristics of planar quintic Pythagorean-hodograph curves ⋮ Construction of \(G^2\) rounded corners with Pythagorean-hodograph curves ⋮ Construction of planar quintic Pythagorean-hodograph curves by control-polygon constraints ⋮ Curve design with more general planar Pythagorean-hodograph quintic spiral segments ⋮ A sufficient condition for 3D typical curves

Cites Work

• Unnamed Item
• Unnamed Item
• A further generalisation of the planar cubic Bézier spiral
• \(G^2\) curve design with a pair of pythagorean hodograph quintic spiral segments
• G\(^{2}\) curves composed of planar cubic and Pythagorean hodograph quintic spirals
• The conformal map \(z\to z^ 2\) of the hodograph plane
• A planar cubic Bézier spiral
• Curve design with more general planar Pythagorean-hodograph quintic spiral segments

This page was built for publication: Curve design with more general planar Pythagorean-hodograph quintic spiral segments