基于参数约束的隧道断面抗差拟合研究  

Research on Tunnel Section Robustfitting Based on Parameter Constraint

作　　者：毕元[1] BI Yuan(Shanghai Surveying and Mapping Institute,Shanghai 200063,China)

机构地区：[1]上海市测绘院,上海200063

出　　处：《地理信息世界》2021年第2期52-56,共5页Geomatics World

摘　　要：城市地铁建设过程中,测量隧道断面并进行椭圆拟合,可得到断面中心坐标和收敛数据,进一步指导施工。隧道施工现场具有干扰多、遮挡多的特点,导致测量数据易出现粗差和数据缺失,进而影响椭圆拟合的准确性。针对隧道断面拟合的难点,本文提出一种基于参数约束的抗差拟合方法:通过最小平方中值方法剔除数据粗差,再利用附带参数约束的最小二乘拟合方法进行计算。本文以模拟数据和上海14号线地铁项目数据为例,验证了该方法的有效性和可靠性,解决了隧道断面拟合计算的难点问题。In the process of urban subway construction,it is necessary to measure the tunnel section,and use the section data to fit the ellipse to get the section center and convergence data.The tunnel construction site has more interference and occlusion,which leads to gross errors and missing data,affecting the accuracy of ellipse fitting.In view of that,this paper proposes a tunnel section ellipse fitting method:eliminating gross error through the least-square-median method,and then processing through the least-square fitting with constraint condition.This paper verifythe method based on the simulated dataand real data from Line14 of Shanghai Metro.

关 键 词：椭圆拟合 最小平方中值拟合 粗差剔除 参数约束 最小二乘拟合 

分 类 号：O241.1[理学—计算数学]