基于路线整体坐标系的中线坐标计算模型及其数值实现

摘要

对基于路线整体坐标系的中线坐标计算模型公式进行详细推导.该公式适用于任意公路线形坐标计算,特别适用于不完整缓和曲线等复杂线形的计算.为便于实现编程数值计算,列出实现该模型公式数值计算的Gauss-Legendre求积公式,并探讨不同节点数n对计算结果的影响.该模型公式简洁,计算精度满足要求,具有一定的推广价值.%This paper derives calculation model formula of central line coordinates based on integral coordinate system of line in detail.This formula is applicable to calculation of any highway alignment coordinates,and especially to calculation of complicated alignments such as incomplete easement curves.For the sake of realizing programming numerical calculation,the paper lists the Gauss-Legendrequadrature formula to realize numerical calculation of this model formula and discusses influences of different number of nodes on calculated results.This model has simple formula and satisfactory calculation accuracy,showing a certain promotional value.