平面G²连续的三次PH过渡曲线的构造

Construction of Cubic PH Transition Curve of Plane G² Continuity

本文用三次PH曲线来构造互相包含的两圆之间G2连续的C型过渡曲线。同时证明了互相包含的两圆之间的过渡曲线的唯一性条件。最后,给出过渡曲线的生成步骤,并且通过数值例子证明了该方法的有效性。

In this paper, the cubic PH curves are used to construct the G2 continuous C type transition curves between two circles that contain each other. At the same time, the uniqueness condition of the transition curve between two circles containing each other is proved. Finally, the generating steps of the transition curve are given, and the effectiveness of the method is proved by a numerical example.