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摘 要：基于光顺曲线设计需求，一条曲率单调且曲率正负不变的三次平面#br# H-Bézier 螺线段被构造。由于此螺线具有起点曲率为零的特性，它可以替代回旋曲线作为道#br# 路设计中的缓和曲线。同时螺线还含有形状参数，故它具有曲线形状可调性的优点。最后，#br# 利用此H-Bézier 螺线，构造了两直线间满足G2 连续的缓和曲线。#br# 关 键 词：H-Bézier 螺线；单调曲率；缓和曲线
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
摘要： 基于光顺曲线设计需求，一条曲率单调且曲率正负不变的三次平面
H-Bézier 螺线段被构造。由于此螺线具有起点曲率为零的特性，它可以替代回旋曲线作为道
路设计中的缓和曲线。同时螺线还含有形状参数，故它具有曲线形状可调性的优点。最后，
利用此H-Bézier 螺线，构造了两直线间满足G2 连续的缓和曲线。
