G 2 Planar Cubic Transition Between Two Circles

DOI10.1080/0020716031000112367zbMath1042.65018OpenAlexW2127098740MaRDI QIDQ4454320

Manabu Sakai, Zulfiqar Habib

Publication date: 8 March 2004

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

Full work available at URL: https://doi.org/10.1080/0020716031000112367

zbMATH Keywords

algorithmcurvaturecubic splinesspiralextrema\(G^2\) transitionTransition curves

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Computer science aspects of computer-aided design (68U07) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (4)

Spiral transitions ⋮ Family of superspirals with completely monotonic curvature given in terms of Gauss hypergeometric function ⋮ \(G^2\) cubic transition between two circles with shape control ⋮ Fairing an arc spline and designing with G ² PH quintic spiral transitions

Cites Work

• Planar \(G^2\) transition between two circles with a fair cubic Bézier curve.
• Curvature extrema of planar parametric polynomial cubic curves
• Unnamed Item

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