利用半约束点质量模型拟合(似)大地水准面  

Quasigeoid/Geoid Determination Based on Semi-Free Position Point Mass

作　　者：欧阳松南 OUYANG Songnan(Geographic Information and Planning Development Centerof Dongguan,Dongguan Guangdong 523129,China)

机构地区：[1]东莞市地理信息与规划编制中心

出　　处：《北京测绘》2019年第10期1240-1244,共5页Beijing Surveying and Mapping

摘　　要：本文利用位场等效逼近原理,对传统的点质量模型进行改化,提出了一种位置固定、埋深自由的点质量模型,并将该模型应用到(似)大地水准面拟合中。利用不同的试验区进行拟合实验,实验结果表明在平原地区,文中所提方法与四次曲面拟合法精度相当,比二次曲面拟合精度提高37.1%;山地地区相比于两种传统拟合方法精度分别提高13.7%和7.7%;而且该方法可以充分利用拟合点信息,格网数据拟合效果较四次曲面拟合分别提升56.8%。本文提出的方法可以适应多类点位分布,具有很强的适应性。综上所述,利用本文提出的方法进行(似)大地水准面拟合达到了较高精度。A new approach to determine quasigeoid/geoid is presented in this paper called semi-free position point mass,in which the plan coordinates of the points are stationary,but the depths are unknown.The method is established by a kind of iterative algorithms which is based on the relationship of the nearest point.Results shows the theories presented in this paper achieve higher accuracy than traditional ways(quadratic surface fitting and surface fitting of fourth order).In summary,using the method to fit quasigeoid/geoid is feasible.

关 键 词：点质量模型 (似)大地水准面 反距离加权 迭代算法 曲面拟合 

分 类 号：P228[天文地球—大地测量学与测量工程]