带状GPS水准曲线拟合方法探讨  

Study on curve fitting of GPS level height for belt area

作　　者：赵铁怀[1] 

机构地区：[1]中铁一院集团甘肃铁道综合工程勘察院有限公司,兰州730000

出　　处：《测绘科学》2010年第4期14-16,共3页Science of Surveying and Mapping

摘　　要：带状GPS水准拟合是铁路项目勘测中急需解决的问题,本文试着对一些常见数学拟和方法比较,结合带状工程数据(郑州-西安高速铁路GPS和二等水准数据)的分析比较,力求找到一种简单有效的、能满足一定精度要求的带状工程拟合方法,来解决这个问题。通过对各种拟合方式的筛选,结合线性工程项目的特点,给出了二次抛物线分段拟合和张力样条分段拟合公式。Banded GPS level fitting is an urgent problem in the railroad item survey. This text tried to solve this problem with a simple, valid and accurate fitting method of banded engineering by comparing with some familiar fitting algorithms and combining with analysis on practical data such as Zhengzhou-Xi＇an Mass Rapid Transit GPS and second class level data. According to the criterion of linear engineering, the paper finally gave the formulas of quadratic parabola piecewise fitting and tension spline piecewise fitting through choosing among various fitting methods.

关 键 词：GPS高程 高程拟合模型 分段二次曲线函数 分段张力样条函数 

分 类 号：P228.3[天文地球—大地测量学与测量工程]