A planar cubic Be´zier spiral
A planar cubic Be´zier spiral
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DOI：
10.1016/0377-0427(95)00246-4
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发表时间：
1996-07
影响因子：
2.4
通讯作者：
D. Walton;D. Meek
中科院分区：
文献类型：
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作者：
D. Walton;D. Meek
螺旋形的平面三次贝塞尔曲线段，即，其曲率随弧长单调变化。由于该曲线段没有尖点、环和拐点（除了在其开始处的单个拐点），因此它适用于传统上使用回旋线的公路设计等应用。由于它是多项式，它可以方便地结合在CAD系统的基础上B样条，贝塞尔曲线，或NURBS（非均匀有理B样条），因此适用于一般的曲线设计应用程序，其中公平的曲线是重要的。
A planar cubic Bézier curve segment that is a spiral, i.e., its curvature varies monotonically with arc-length, is discussed. Since this curve segment does not have cusps, loops, and inflection points (except for a single inflection point at its beginning), it is suitable for applications such as highway design, in which the clothoid has been traditionally used. Since it is polynomial, it can be conveniently incorporated in CAD systems that are based on B-splines, Bézier curves, or NURBS (nonuniform rational B-splines) and is thus suitable for general curve design applications in which fair curves are important.