基于道路边线GPS原始数据的曲率评估方法  

Curvature Evaluation Method Based on Raw GPS Data of Road Edge

作　　者：王东波 黄鹤[1,2] 王欣宇 

机构地区：[1]北京建筑大学测绘与城市空间信息学院,北京102616 [2]现代城市测绘国家测绘地理信息局重点实验室,北京102616

出　　处：《北京测绘》2017年第01S期44-48,共5页Beijing Surveying and Mapping

基　　金：现代城市测绘国家地理信息局重点实验室基金项目(20131201NZ)

摘　　要：导航系统的发展和广泛应用增大了人们对能应用于先进App中的数字地图的需求。对于数字地图来说,足够的道路几何精度是尤为重要的,尤其是道路曲率的计算。本文介绍了一种基于原始GPS数据的道路曲率估算的方法。首先利用B样条法整合道路每段的原始数据,以等间距内插的方式生成拟合曲线的折线,之后将生成的折线利用立体投影的方法投影到单位球上,再根据最小二乘法则,在单位球寻找数据点的最佳拟合平面和平面与单位球的相交圆。将这些相交圆后才能更新投影到赤道面上,就能得到数据拟合的圆弧和曲率。一定数量的三维实验成果表明,这种方法具有很好拟合效果,并且估算的道路曲率具有很高的精度。The development and widespread use of navigation systems have increased the need for digital maps that can be applied to advanced applications.For digital maps,sufficient road geometry accuracy is particularly important,especially for road curvature calculations.This paper presents a method of road curvature estimation based on raw GPS data.First,the original data of each section of the road is integrated by the B-spline method,and the polyline of the fitting curve is generated by the interpolation of the equidistant interval.The generated polyline is then projected onto the unit sphere by the stereoscopic projection method.According to the least squares rule,the best fit plane and the intersection of the plane and the unit sphere are found on the unit sphere.These intersecting circles can be updated to project onto the equatorial plane,and the arc and curvature of the data fit can be obtained.A number of three-dimensional experiments show that this method has a good fitting effect,and the estimated road curvature has a high accuracy.

关 键 词：道路边线 GPS数据 道路曲率 B样条曲线 立体投影 

分 类 号：P228.4[天文地球—大地测量学与测量工程]