Planar \(G^{2}\) transition curves composed of cubic Bézier spiral segments

DOI10.1016/S0377-0427(03)00435-7zbMath1030.65008OpenAlexW2032370961MaRDI QIDQ1405208

D. Massart

Publication date: 25 August 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(03)00435-7

zbMATH Keywords

curvature extremasurface designcurve designtransition curvefair curvecubic Bézier spiral segments

Mathematics Subject Classification ID

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

Related Items (13)

Fair cubic transition between two circles with one circle inside or tangent to the other ⋮ Planar interpolation with a pair of rational spirals ⋮ An efficient path planning and control algorithm for ruav's in unknown and cluttered environments ⋮ Spiral transitions ⋮ A further generalisation of the planar cubic Bézier spiral ⋮ Family of superspirals with completely monotonic curvature given in terms of Gauss hypergeometric function ⋮ \(G^2\) cubic transition between two circles with shape control ⋮ A New Planar Bezier-Like Spiral Defined by Exponential Functions And Transition Curves ⋮ \(G^2\) Pythagorean hodograph quintic transition between two circles with shape control ⋮ A sufficient condition for 3D typical curves ⋮ Transition between concentric or tangent circles with a single segment of \(G^2\) PH quintic curve ⋮ G²blends of linear segments with cubics and Pythagorean-hodograph quintics ⋮ G²curve design with planar quadratic rational Bézier spiral segments

Cites Work

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• The use of Cornu spirals in drawing planar curves of controlled curvature
• G\(^{2}\) curves composed of planar cubic and Pythagorean hodograph quintic spirals
• A planar cubic Bézier spiral

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