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A Plane Cubic H-Bézier Spiral

Abstract: Based on the requirement of fairing curves design, a planar cubic H-Bézier spiral#br# with monotone curvature of constant sign is discussed. Since this spiral segment has zero#br# curvature at the beginning point, it is suitable for applications such as highway design where the#br# clothoid has been traditionally used. And since the spiral also contains a shape parameter, it has#br# the advantage of adjustable curve shape. Finally, G2 continuous transition curves between the two#br# lines are constructed by the use of the H-Bézier spirals.#br# Key words: H-Bézier spiral; monotone curvature; transition curve   

  • Online:2015-06-30 Published:2015-05-05

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Abstract: Based on the requirement of fairing curves design, a planar cubic H-Bézier spiral
with monotone curvature of constant sign is discussed. Since this spiral segment has zero
curvature at the beginning point, it is suitable for applications such as highway design where the
clothoid has been traditionally used. And since the spiral also contains a shape parameter, it has
the advantage of adjustable curve shape. Finally, G2 continuous transition curves between the two
lines are constructed by the use of the H-Bézier spirals.

Key words: H-Bézier spiral, monotone curvature, transition curve