多面函数在GPS高程拟合中的改进及精度评估

Improvement and Accuracy Evaluation of Polyhedral Function in GPS Elevation Fitting

简述了当前实际生产中主流应用的几类GPS高程拟合模型,分析了多面函数进行GPS高程拟合的原理。针对选取不同的核函数将会产生不同的拟合精度,在分析现有常用核函数的基础上,尝试将假定高程异常值作为隐函数的形式引入核函数,用两点间的向径代替平面间距离,设计了改进的核函数模型。对比测试结果表明,改进后的核函数提高了多面函数拟合GPS高程的精度。

Several types of GPS height fitting models used in practical production are briefly described,and the principle of GPS elevation fitting with polyhedral function is analyzed.For different kernel functions will produce different fitting precision.On the basis of analyzing the existing kernel functions,this paper tries to introduce the assumed height anomaly as the implicit function into the kernel function,and uses the direction between two points to replace the inter plane distance,and designs an improved kernel function model.The test results show that the improved kernel function improves the accuracy of fitting the GPS elevation with polyhedral function.