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小区域GNSS高程异常拟合方法研究
引用本文:谢萌丽,姜永涛,刘国仕.小区域GNSS高程异常拟合方法研究[J].全球定位系统,2020,45(5):34-39.
作者姓名:谢萌丽  姜永涛  刘国仕
作者单位:南阳师范学院 ,地理科学与旅游学院测绘工程 ,河南南阳473000;昆明理工大学 ,国土资源工程学院资源勘查工程与技术 ,云南昆明650031;南阳师范学院 ,地理科学与旅游学院测绘工程 ,河南南阳473000;邵阳学院 ,湖南邵阳422000
基金项目:国家自然科学基金;国家自然科学基金;河南省科研服务平台专项;青年专项
摘    要:选取恰当的拟合模型是提高高程异常拟合精度的关键.本文利用湖南省新化县城区全球卫星导航系统(GNSS)和水准测量数据,采用反距离加权法、多项式插值法、径向基函数法、克里金插值法等多种曲面拟合方法进行高程异常拟合研究,并进行拟合精度评定.结果表明,径向基函数插值法内插精度最高,其中误差为±0.0158 m;局部多项式插值法外推精度最高,其中误差为±0.0104 m;综合来说,局部多项式插值法在县域尺度高程拟合中精度最高,本文研究结果对小区域GNSS高程拟合方法选取工作具有一定的参考意义. 

关 键 词:高程异常  曲面拟合  插值法  内插精度  外推精度

Research on the county area scale fitting methods for GNSS height anomaly
Institution:1.Nanyang Normal University, Surveying and Mapping Engineering, School of Geographic Science and Tourism, Nanyang Normal University,Nanyang 473000,China2.Kunming University of Science and Technology, Resource Exploration engineering and Technology, School of Land and Resources Engineering, Kunming University of Science and Technology, Kunming 650031,China3.ShaoYang University,Shaoyang 422000,China
Abstract:The key to improve the accuracy of height anomaly fitting is to select the appropriate fitting model. Based on the GNSS and leveling data in Xinhua County, Hunan Province,this paper studies and evaluates the fitting accuracy of height anomaly by using inverse distance weighting method,polynomial interpolation method, radial basis function method(RBF),Kriging interpolation method and other surface fitting methods.The results show that the radial basis function interpolation has the highest interpolation accuracy,and the error is ±0.0158 m.The local polynomial interpolation method owns the highest extrapolation accuracy,in which the error is ±0.0104 m.That means the local polynomial interpolation method has the highest accuracy in county scale elevation fitting.The research conclusion of this paper can be important reference significance for the selection of GNSS Height Fitting Method in small areas. 
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