基于Biharmonic样条插值的GPS高程拟合  

GPS Elevation Fitting Based on Bilharmonic Spline Interpolation

作　　者：陈向阳[1] 俞世炜 赵国梁[3] 

机构地区：[1]南通职业大学建筑工程学院,江苏南通226007 [2]中国矿业大学(北京)地球科学与测绘工程学院,北京100083 [3]西安科技大学测绘科学与技术学院,陕西西安710000

出　　处：《长江大学学报（自科版）（上旬）》2016年第9期1-7,共7页JOURNAL OF YANGTZE UNIVERSITY (NATURAL SCIENCE EDITION) SCI ＆ ENG

基　　金：国家自然科学基金项目(40572155);江苏高校品牌专业建设工程资助项目(PPZY2015B183);江苏省现代教育技术研究2015年度立项课题(2015-R-44740);2016年江苏省大学生实践创新训练计划项目

摘　　要：介绍了GPS高程拟合原理和传统GPS高程拟合模型,提出了基于Biharmonic样条插值原理的GPS高程拟合模型。以实测GPS水准网为算例,使用Biharmonic样条插值拟合模型、多项式曲面拟合模型和加权平均插值拟合进行拟合分析,分别从内外精度上验证Biharmonic模型在GPS高程拟合方面的可靠性和可行性,并将其分析结果与常用的拟合模型进行比较,得出Biharmonic模型在GPS高程拟合中的可靠性。This paper introduces the principle of GPS elevation fitting,describes the traditional GPS elevation fitting model,and puts forward the model of GPS elevation fitting based on Biharmonic spline interpolation principle.By taking the measured GPS leveling-network as an example,the fitting model of Biharmonic spline interpolation,the polynomial fitting model for curved surface fitting and weighted average interpolation fitting are used for analysis.The reliability and feasibility of the Biharmonic model in fitting the GPS elevation are verified from the internal and external precision,and the results are compared with the commonly used fitting model to get the reliability of Biharmonic model in GPS elevation fitting.

关 键 词：GPS高程拟合 多项式曲面拟合 加权平均插值拟合 Biharmonic样条插值 拟合模型 

分 类 号：P228.4[天文地球—大地测量学与测量工程]