用曲面拟合法确定平原区域正常高的方法

对应用GPS技术结合几何水准测量资料确定正常高的方法进行了研究,针对测区地形特点,选择合理的曲面拟合数学模型,并以此为基础建立计算其他GPS点高程异常和正常高的方程。同时,结合工程实践对上述求解方程进行了验证,其拟合结果的标准差为1.1cm,达到了四等水准测量的要求。研究证明,采用一定密度及合理分布的GPS水准高程联测点,选择曲面函数模型拟合区域大地水准面,是平原区域确定正常高的一种行之有效的方法。

Research on the application of curved surface fit method to determine normal elevation in plain region

The method of applying GPS technique and data from Geometrical levelling to ascertain normal elevation was discussed in the paper.In view of topographic features of observation zone,proper mathematical model for curved surface fit was selected.Based on this,functions were built to calculate the abnormal and normal elevation of other GPS points.The functions were verified in practical levelling,and the standard deviation of fitted results was 1.1 cm,which met the requirements of fourth-order leveling surveying.Researches have proved that adopting certain density and properly scattered joint-observation points of GPS level elevation,then choosing curved surface function mathematical model is an effective method of determining normal elevation to fit regional geodetic surface.