A further generalisation of the planar cubic Bézier spiral

DOI10.1016/J.CAM.2012.01.024zbMath1245.65020OpenAlexW2051543572MaRDI QIDQ413732

D. J. Walton, D. S. Meek

Publication date: 7 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.2012.01.024

zbMATH Keywords

fair curves\(C\)--shapedCubic Bézier curvescurve and surface designspiral segments

Mathematics Subject Classification ID

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

Related Items (9)

Spiral transitions ⋮ Constructing Bézier curves with monotone curvature ⋮ Curves used in highway design and Bezier curves ⋮ Curve design with more general planar Pythagorean-hodograph quintic spiral segments ⋮ A New Planar Bezier-Like Spiral Defined by Exponential Functions And Transition Curves ⋮ A sufficient condition for 3D typical curves ⋮ New cubic trigonometric Bézier-like functions with shape parameter: curvature and its spiral segment ⋮ G²curve design with planar quadratic rational Bézier spiral segments ⋮ Trigonometric B

Cites Work

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• \(G^2\) Pythagorean hodograph quintic transition between two circles with shape control
• \(G^2\) curve design with a pair of pythagorean hodograph quintic spiral segments
• \(G^2\) cubic transition between two circles with shape control
• High accuracy geometric Hermite interpolation
• A shape controled fitting method for Bézier curves
• Planar \(G^{2}\) transition curves composed of cubic Bézier spiral segments
• A planar cubic Bézier spiral
• Interpolation with cubic spirals

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