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

作　　者：王佳丽[1] 陈天伟[1] 秦豪[1] 姚志华[1] 

机构地区：[1]桂林理工大学测绘地理信息学院,广西桂林541004

出　　处：《地理空间信息》2016年第4期52-55,11,共4页Geospatial Information

基　　金：国家自然科学基金资助项目(41161072);广西自然科学基金资助项目(2011GXNSFA018001);广西空间信息与测绘重点实验室资助项目(1207115-08)

摘　　要：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.

关 键 词：GPS水准 多项式曲面拟合 模型误差 高程异常 

分 类 号：P224[天文地球—大地测量学与测量工程]