摘要
本文通过选取恰当的带参数Bézier曲线模型,得到其成为PH曲线的几何特征条件,构造了一类带参数的三次PH曲线。基于该曲线,构造了不互相包含两圆之间的过渡曲线,该曲线是G2连续的C型过渡曲线,并且在一定条件下,曲线内部的曲率有且仅有一个曲率极值点。数值例子验证了该方法的有效性。
In this paper, by selecting the appropriate Bézier curve model with parameters, the geometric characteristic conditions of PH curve are obtained. A kind of cubic PH curve with parameters is constructed. Based on this curve, a transition curve is constructed. The curve is a second order continuous c-type transition curve, and the curvature inside the curve has only one curvature extreme point under certain conditions. Numerical examples show the effectiveness of the proposed method.
出处
《应用数学进展》
2021年第9期3148-3158,共11页
Advances in Applied Mathematics
