有理三次样条曲线在公路线形设计中的应用研究

Research on Application of Rational Cubic Spline Curves in Highway Alignment Design

提出一种有理三次样条曲线描述公路线形。选取样条函数中的参数值，对公路线形方案初步拟合寻优。方案选定后，重新确定样条函数的参数值，通过参数值的变化，准确表达线形中的直线段、圆弧段、缓和曲线段等。采用这种方法表达公路线形既能与传统设计模式保持一致，又可简捷实现三维可视化公路ＣＡＤ软件路线设计部分编程。

A rational cubic spline curve to describe highway alignment is introduced. Select parameters of spline function to determine highway alignment preliminary scheme. Then selecting parameters again, we can express the alignment's line, arc, transition curves through the variations of parameters. This method is unanimous from traditional design method and can complete alignment design of three dimensional highway CAD quickly.