\(G^3\) quintic polynomial approximation for generalised Cornu spiral segments

DOI10.1016/j.cam.2012.01.034zbMath1242.65031OpenAlexW2069790737MaRDI QIDQ421816

Benjamin Cross, Robert J. Cripps

Publication date: 14 May 2012

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.2012.01.034

zbMATH Keywords

numerical examplescomputer aided designfair curvesgraphical examplesgeneralised cornu spiralquintic Bézier polynomialquintic polynomial curve

Mathematics Subject Classification ID

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

Related Items

A note on quintic polynomial approximation of generalized Cornu spiral segments ⋮ Efficient robust approximation of the generalised Cornu spiral ⋮ Unnamed Item

Uses Software

• Maple

Cites Work

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• \(G^2\) curve design with a pair of pythagorean hodograph quintic spiral segments
• Transition between concentric or tangent circles with a single segment of \(G^2\) PH quintic curve
• Smooth polynomial approximation of spiral arcs
• Fairing cubic B-spline curves
• Circular arc approximation by quintic polynomial curves
• The generalised Cornu spiral and its application to span generation
• Approximation of logarithmic spirals