GPS水准的有限元法与多面函数法的加权综合模型

Combining model based on finite element method and multisurface function in GPS leveling

应用有限元法与多面函数法的加权综合模型改进拟合模型在逼近高程异常曲面时的拟合效果。由大地高求出准确的正常高,通常应用有限元法或多面函数法等单一拟合模型来拟合高程异常曲面。GPS水准的单一模型在逼近高程异常曲面时其拟合效果往往不稳定。通过对实测数据的计算分析可发现:有限元法与多面函数法的加权综合模型的逼近结果比单一模型的逼近结果有了一定的提高。由此可见综合模型对于局部地区解决GPS高程转化为正常高是有使用价值的。

Combined Model on the basis of the Finite Element Method and Multisurface Function was used to improve approximating precision and reliability in modelling abnormal height surface.When geodetic height is used to calculate normal height, simple model of Finite Element Method or Multisurface Function was always used to approximate abnormal height surface.The results of those simple model of GPS leveling are often unstable.Through calculation and analysis to the practical surveying data,it can be seen that Combed Model was considerable improvement over simple models in approximating abnormal height curved surface.The results indicate that the combined model has value in transfering GPS height to normal height.