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一种区域似大地水准面模型拟合方法分析
引用本文:马鸿炜,郭金运,李国伟,王书阳.一种区域似大地水准面模型拟合方法分析[J].海洋测绘,2014(1):8-11.
作者姓名:马鸿炜  郭金运  李国伟  王书阳
作者单位:[1] 山东科技大学测绘学院,山东青岛,266590 [2]海岛(礁)测绘技术国家测绘地理信息局重点实验室,山东青岛266590
基金项目:国家自然科学基金项目(40974004,41374009);国家863计划(2009AA121405);海岛(礁)测绘技术国家测绘局重点实验室基金项目(2011A01).
摘    要:GPS技术结合(似)大地水准面模型,可快速高精度的获取测点正常高,因此精化区域(似)大地水准面成为各国家和地区建立现代高程基准的重要任务。利用GPS水准进行区域似大地水准面拟合,通过实验比较分析了二次多项式、三次多项式、多面函数、移动曲面模型,论证了各自模型的特点,实验结果表明:对于地势较平坦的实验区,以上几种方法拟合的区域似大地水准面精度都在4cm以内,都能满足一般工程应用的精度要求,其中移动曲面模型拟合的实验区似大地水准面最佳。

关 键 词:GPS水准  区域似大地水准面  二次多项式  三次多项式  多面函数  移动曲面

Analysis of the Local Quasi-geoid Fitting Methods
MA Hongwei,GUO Jinyun,LI Guowei,WANG Shuyang.Analysis of the Local Quasi-geoid Fitting Methods[J].Hydrographic Surveying and Charting,2014(1):8-11.
Authors:MA Hongwei  GUO Jinyun  LI Guowei  WANG Shuyang
Institution:1 ( 1. College of Geodesy and Geomatics, Shandong University of Science and Technology, Qingdao 266510, China; 2. Key Laboratory of Surveying and Mapping on Island and Reef of NASMG, Qingdao 266510, China)
Abstract:The highly precise normal height can be quickly determined with the GPS technique and the fine local quasi-geoid model. The refinement of local quasi-geoid model is one important mission in the building of modem height datum. The local quasi-geoid model can be fitted with the GPS/leveling data. We compare and analyze the common fitting models, of the quadratic polynomial, the cubic polynomial, the multi-faceted function,the mobile surface method in the paper. We select one area with 89 GPS/leveling points as the experimental area. The results prove that the accuracy of the local quasi-geoid fitted with the above methods are all less than 4cm in the experimental area where the terrain is relatively flat, and all meet the accuracy requirement for general engineering applications. The local quasi-geoid model fitted with the mobile surface fitting method is the best in the experimental area.
Keywords:GPS leveling  local quasi-geoid  quadratic polynomial  cubic polynomial  multi-faceted functions  mobile surface method
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