小区域GNSS高程异常拟合方法研究

Research on the county area scale fitting methods for GNSS height anomaly

  • 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.

     

    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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