摘要
Abstract
When existing railway plane is fitted least square multiplication,the first step is to determine horizontal alignment of measuring points’locations(i.e.,linear identification),and cluster the measured data.Then accord-ing to the corresponding fitting model,the measured data groups are fitted linearly.However,there are unavoidable errors and gross errors in the measured coordinate data of existing railway horizontal alignment,which have adverse effects on linear identification.It will lead to inaccurate measured data grouping and cause poor quality of linear fit-ting.For these reasons,we propose the linear fitting method of existing railway horizontal alignment in this paper based on iteration method with variable weights.In this method,it regards the measured points beyond being fitted linearly in different groups as measured points with gross errors.It detects and eliminates points by using the robust correction ability of iteration method with variable weights.Ultimately,it can realize existing railway horizontal a-lignment without accurate grouping,and obtain the reliable parameters valuation of linear fitting.关键词
最小二乘/既有铁路/拟合/线形识别/粗差/选权迭代法Key words
least square method/existing railway/fitting/linear identification/gross error/iteration method with variable weights分类
天文与地球科学