GPS高程拟合方法的研究  

Studying on GPS Elevation Fitting Model Method

作　　者：范梦琪 王昶[1] 高屹 

机构地区：[1]辽宁科技大学土木工程学院,辽宁鞍山114051

出　　处：《北京测绘》2017年第4期38-42,共5页Beijing Surveying and Mapping

基　　金：辽宁科技大学大学生省级科研项目(201610146038)

摘　　要：本文选取某地区74个已知点(大地高和高程异常值已知)作为实验数据,选择46个点作为建模点,选择28个点作为外检验点,选择多项式曲面拟合模型和双次多项式曲面拟合模型及泰勒多项式拟合模型的方法来建立该地区GPS高程拟合模型,并研究不同模型对拟合精度的影响。通过VB程序设计语言实现拟合模型的建立并进行精度比较。通过实验证明,在多项式曲面拟合模型中二次曲面模型拟合效果最好,次数增加时出现龙格现象;在双高次曲面拟合模型及泰勒多项式曲面拟合模型中双三次拟合和泰勒二次多项式拟合效果最佳。通过实验比较,可以得出在多项式曲面拟合模型中双三次曲面拟合模型的拟合效果最好。This paper selects 74 points(an area known abnormal value of geodetic height and height)as experimental data,and selects 46 points as modeling points,28 points as the test points,using polynomial surface fitting models、double polynomial surface fitting models and Taylor polynomial fitting models to establish GPS elevation fitting model in this area,and study the fitting accuracy of different models.Using the VB programming language to establish different models and compare precision.Through experiments,the best fitting results in polynomial surface fitting models is the two surface model,as the increasing number Runge's phenomenon arises.Among double surface fitting models and Taylor polynomial surface fitting models,the three fitting and Taylor two polynomial fitting are well.The best result can be obtained through experimental comparison in polynomial surface fitting models that is the three surface fitting model.

关 键 词：多项式曲面拟合 GPS高程拟合 二次曲面拟合 双三次曲面拟合 泰勒多项式 

分 类 号：P228.4[天文地球—大地测量学与测量工程]