线性参照系与大地坐标系的相互转换  

Coordinates transforming between linear referencing system and geodetic system

作　　者：邓兴升[1] 黄小鹏[1] DENG Xingsheng;HUANG Xiaopeng(School of Traffic and Transportation Engineering, Changsha University of Science & Technology, Changsha 410114,China)

机构地区：[1]长沙理工大学交通学院,长沙410114

出　　处：《测绘工程》2019年第1期9-13,共5页Engineering of Surveying and Mapping

基　　金：公路地质灾变预警空间信息技术湖南省工程实验室科研项目(kfj150602);湖南省研究生科研创新项目(CX2017B468)

摘　　要：道路交通领域用线性参照系统来表示地物的位置,而GNSS卫星定位测量采用大地坐标系,两坐标系之间的相互转换是一项基础工作。文中提出道路弯曲度计算的两个指标,基于线性插值和分段三次样条插值函数,在线性参照系与大地坐标之间进行相互转换。实例分析表明,分段三次样条插值函数对直线路段和曲线路段均适用,建模数据点间隔较小时,模型误差可忽略。实例中两坐标系相互转换的最大误差为±0.543m,主要误差来源于坐标和里程的测量误差。In the traffic field,the linear referencing system is often used to position the objects,while the GNSS positioning adopts the geodetic coordinate system.The efficient transformation between the two coordinate systems is a basic work.This paper presents two measure indexes of road curvature.Based on the linear interpolation principle and piecewise cubic spline interpolation function,the mutual transformation method between the two coordinate systems is given.Example analysis shows that the piecewise cubic spline function is suitable for both straight road sections and curved road sections.If the modeling data interval is small,the error model can be ignored.The coordinate transformation errors reach±0.543meters,and the coordinate and mileage measurement error is the main error source.

关 键 词：坐标转换模型 分段三次样条函数 线性参照系 大地坐标系 

分 类 号：P221[天文地球—大地测量学与测量工程]