基于岭估计的GPS高程拟合方法研究——以华北理工大学曹妃甸校区为例  

Research on GPS Height Fitting Method Based on Ridge Estimation:Taking Caofeidian Campus of North China University of Science and Technology as Example

作　　者：韦子豪 杨久东 WEI Zi-hao;YANG Jiu-dong(College of Mining Engineering,North China University of Science and Technology,Tangshan Hebei 063210,China)

机构地区：[1]华北理工大学矿业工程学院,河北唐山063210

出　　处：《华北理工大学学报（自然科学版）》2021年第2期1-6,共6页Journal of North China University of Science and Technology：Natural Science Edition

基　　金：国家自然科学基金(51904105)。

摘　　要：针对应用传统的二次曲面法实施高程异常拟合过程中,普遍存在法方程病态的问题,采用岭估计的方式结合高程拟合模型,同时借助实例对特定项目的高程异常数据展开运算。将高程异常值分为二次曲面法计算和岭估计法计算,对拟合计算中所得的数据值进行了比较、分析。结果表明:岭估计法不仅可以有效解决二次曲面法的高程拟合模型在进行高程拟合时所出现法方程病态,且高程拟合的精度也得到了提高。In view of the common problem of ill-conditioned normal equations during the process of applying the traditional quadric surface method to implement elevation anomaly fitting,ridge estimation combined with the elevation fitting model was used,and at the same time examples were used to analyze the elevation anomaly data of specific items Expand operation.The elevation abnormal value was divided into quadratic surface method calculation and ridge estimation method calculation,and the data values obtained in the fitting calculation were compared and analyzed.The results show that the ridge estimation method can not only effectively solve the ill-conditioned condition of the normal equations in the elevation fitting model of the quadric surface method,but also improve the accuracy of elevation fitting.

关 键 词：高程拟合 最小二乘法 岭估计 二次曲面模型 

分 类 号：P207[天文地球—测绘科学与技术]