多面函数拟合法转换GPS高程

GPS Height Transformation using Hardy Function Interpolation Method

对G PS在高程方面的应用现状作了简单的介绍,综述近年来用G PS求定正常高的几种方法,即多项曲线拟合、多项式曲面拟合、多面函数曲面拟合、加权均值法、非参数回归法和高程异常变化梯度法、固定边界三次样条插值法、线性移动拟事法、神经网络法、非格网G PS散点数据考虑地形改正法。对G PS高程测量基本原理和基本方法进行了讨论,提出根据测区的实际情况选择不同的G PS高程转换方法,综合利用G PS点的高差和高程观测值拟合高程异常的方法,利用多面函数来拟合似大地水准面。

This paper briefly introduced the application of GPS technology in height acquisition. It reviewed the methods that are used for calculating the normal height by GPS in recent years, such as multinomial Curve fitting, multinomial surface fitting, Hardy function interpolation, weighting method, nonparametric regression method, height anomaly gradient method, Cubic Spline Interpolation method, linear moving interpolation, neural network method and terrain rectification method. This paper also discussed the principle and approach of GPS leveling and presented that we should apply different interpolation method according to the actual situation of working area. It put forward that we should use Hardy function interpolation for fitting the quasi-geoid combined by using height different of GPS points and the observation value to get the height anomaly.