埃尔米特插值函数在公路平面线形设计中的应用

Application of hermite interpolating function to the design of highway’s horizontal alignment

三次样条函数在公路平面线形设计中有广泛的应用,但由于没有统一的函数表达式且计算量大,因而在应用上不便。埃尔米特插值函数的特点决定其能很好地逼近被插值函数,且计算过程简便。公路平面线形实例设计表明,三次埃尔米特插值函数用于公路平面线形设计中,能够满足路线设计规范(JTJ011-94)的要求,其设计结果与三次样条函数设计结果接近。本研究建立了公路平面线形设计的埃尔米特插值函数方法,可供公路平面线形设计工作参考。

The cubic-spline function applied in design of highway horizontal alignment isn't convenient in practice because of no united function and its intricate calculation. The characteristic of cubic-Hermite interpolating function indicates that it can approach to the highway horizontal alignment curve with a high degree, and simple in calculation. The experiment shows that its results are close to ones of cubic-spline function, and fit to the criterion of JTJ011-94 requirement. This article establishes a highway horizontal alignment design method based on cubic-Hermite interpolating function, which has a practical reference for future work.