基于Bézier曲线的两平行线间缓和曲线构造

Transition Curve between Parallel Lines Based on Bézier Curve

利用五次Bézier曲线,构造了一条含形状参数的两平行线间满足G2连续的缓和曲线。这条曲线在t=1/2含有唯一的曲率极值点。利用形状参数可以方便地控制曲率极值的大小和调节曲线的形状。

By using quintic Bezier curve, the transition curve which is G2 continuous with a shape parameter is constructed between two parallel lines. This curve at t=1/2 contains a unique curvature extreme. It can be easily controlled curvature extremes and adjust the shape of the curve by using the shape parameter.