基于最小二乘法的道路平面线形设计方法

Road’s Horizontal Alignment Fitting with Least Square Method

在道路改建中,曲线设计法是最大限度利用原有路基的有效方法。采用多项式拟合曲线对公路工程线形设计实例进行设计研究,并将设计计算结果与三次样条函数设计法进行比较。研究表明,基于最小二乘法原理的多项式曲线拟合法与三次样条函数设计法的计算结果接近,同样能满足路线设计规范的要求,且计算过程更为简便,值得在设计工作中参考和应用。

Inroadrebuilding, curve design method is an effective tool to utilize the existing roadbed to the greatest extent. A polynomial fitting method based on least square method was employed to design the horizontal alignment of a road-rebuilding project in this paper. The fitting result indicates that the result of the proposed method is adhere to that with the cubic-spline method, and agrees with the criterion＇ s requirements. Owing to being forthright in theory, the method is simple and convenient, and reliable＇in design result, so, it can be used in practice.