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基于选权迭代法的既有铁路平面线形拟合方法

马洪磊 刘成龙

铁道科学与工程学报2016,Vol.13Issue(12):2375-2380,6.
铁道科学与工程学报2016,Vol.13Issue(12):2375-2380,6.

基于选权迭代法的既有铁路平面线形拟合方法

The linear fitting method of existing railway horizontal align ment based on iteration method with variable weights

马洪磊 1刘成龙2

作者信息

  • 1. 中铁第一勘察设计院集团有限公司,陕西 西安710043
  • 2. 轨道交通工程信息化国家重点实验室 中铁一院,陕西 西安710043
  • 折叠

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

引用本文复制引用

马洪磊,刘成龙..基于选权迭代法的既有铁路平面线形拟合方法[J].铁道科学与工程学报,2016,13(12):2375-2380,6.

铁道科学与工程学报

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