摘要
精化似大地水准面在测绘工作中具有重要意义,然而常用的多项式曲面拟合方法由于法方程系数矩阵存在严重的病态,可能会导致拟合结果不可靠。为解决此类问题,以唐山市华北理工大学GPS水准网实测数据为例,采用岭估计的方法对校园内大地水准面进行精化,并与传统二次多项式、三次多项式拟合方法进行比较。研究结果表明,采用岭估计的方法可得到较高的拟合精度。
Precise quasi geoid is of great significance in surveying and mapping.However,the common polynomial surface fitting method may lead to unreliable fitting results due to the serious ill conditioned coefficient matrix of normal equation.In order to solve this problem,taking the GPS leveling network data of North China University of Science and Technology in Tangshan as an example,ridge estimation method was used to refine the geoid on the campus,and it was compared with the traditional quadratic polynomial and cubic polynomial fitting methods.The results show that the ridge estimation method can obtain higher fitting accuracy.
作者
杨燕燕
王晓红
YANG Yan-yan;WANG Xiao-hong(College of Mining Engineering,North China University of Science and Technology,Tangshan Hebei 063210,China)
出处
《华北理工大学学报（自然科学版）》
CAS
2021年第4期1-5,共5页
Journal of North China University of Science and Technology：Natural Science Edition
基金
河北省教育厅科技项目(BJ2020058)
华北理工大学博士基金(25395501)。
关键词
似大地水准面精化
多项式拟合
岭估计
高程异常
quasi geoid refinement
polynomial fitting
ridge estimation
height anomaly
