GPS水准多项式曲面拟合的选取及应用

Selection and Application of GPS Leveling Polynomial Surface Fitting

介绍了GPS水准原理及多项式曲面拟合模型,并给出基于模型误差的函数模型优选准则。以某地区的实测高程异常数据为例,借助Matlab语言工具,重点从残差和均方差两方面对平面、相关平面、二次曲面和三次曲面4种多项式拟合模型进行比较分析。结果表明,相关平面拟合模型较优。

This paper introduced the principles of GPS leveling and polynomial surface fitting model, and depicted the function model optimal criterion based on the model error. Taking the data measured from elevation abnormal of a region in China as example, the paper comparative analyzed the plane, correlation plane, quadric surface and cubic surface fitting four kinds of polynomial fitting models from two aspects of residuals and mean square error with the tools of Matlab language. The results show that correlation plane fitting is a better model.