建立GPS水准综合模型的探讨  

Discussion on building combining model of GPS leveling

作　　者：刘万林[1] 李天文[2] 

机构地区：[1]长安大学地质工程与测绘工程学院,陕西西安710054 [2]西北大学城市与资源学系,陕西西安710069

出　　处：《西北大学学报（自然科学版）》2004年第5期611-614,共4页Journal of Northwest University（Natural Science Edition）

基　　金：中美国际合作项目(NSFEAR97 25563);陕西省自然科学基金重大资助项目(2003K12 G5)

摘　　要：目的　为了提高GPS水准的拟合模型在逼近高程异常曲面时的逼近精度和可信度。方法　在总结已有研究成果的基础上,提出了应用有限元法与移动法的加权综合模型来逼近高程异常曲面的方法,并建立了一个二阶规划模型。结果　通过对实测数据的计算分析可发现:当有限元法和移动法的拟合中误差分别为18.9mm和14.4mm时,有限元法与移动法的加权综合模型的拟合中误差仅为6.0mm。结论　有限元法与移动法的加权综合模型的逼近结果比单一模型的逼近结果有了较大的提高,是逼近高程异常曲面的一种有效方法。AimIn order to improve approximating precision and reliability of GPS leveling of imitated model in approximating abnormal height curved surface.MethodsIt was summarized on the achievements in research and advanced Combining Model on the basis of the Finite Element Method and Method of movement,and built a model of second order programming.ResultsIt was found that mean square error of the combining model is only 6.0mm when the others are 18.9mm and 14.4mm in the finite element method and in method of movement by means of counted and analyzed to the practical surveying datum.ConclusionThis was made considerable improvement than those simple model,it is an effective method in approximating abnormal height curved surface.

关 键 词：GPS水准 有限元法 移动法 综合逼近模型 

分 类 号：P207[天文地球—测绘科学与技术]