GPS大地高转换为正常高的新方法  

A New Method of Transforming GPS Geoid Height into Normal Height

作　　者：高伟[1,2] 晏磊[1] 林沂[1] 徐绍铨[3] 

机构地区：[1]北京大学遥感与地理信息系统研究所,空间信息集成与3S工程应用北京市重点实验室,北京100871 [2]山东农业大学信息科学与工程学院,山东泰安271018 [3]武汉大学测绘学院,湖北武汉430079

出　　处：《应用基础与工程科学学报》2008年第4期518-524,共7页Journal of Basic Science and Engineering

基　　金：中国博士后科学基金资助项目(20060400346);国土资源部资助项目(国地防灾[2003]031709);国家高技术发展计划项目(863)资助项目(2007AA09Z201)

摘　　要：在对分形几何理论及应用分析和研究的基础上,考虑到似大地水准面是一个不规则的曲面,用传统的欧氏几何模型去拟合,必然会抹杀它的不规则变化.因此,本文率先提出并引入用分形插值曲面函数拟合高程异常,构建GPS大地高转换为正常高的新方法.本文论述了分形插值曲面的原理,分析了分形插值曲面的计算公式,讨论了分形插值曲面的维数估计方法和公式,用实际数据进行了分形插值曲面拟合高程异常的数值分析以及与二次多项式曲面拟合模型结果的比较.实例计算结果表明,分形插值曲面函数拟合高程异常的精度明显优于二次多项式曲面.Based on the analysis and research of the theory and application of fractal geometry and the consideration that the quasigeoid is an irregular surface, its irregular change may be obliterated if the traditional Euclid geometry models were utilized to fit it. Therefore the fractalinterpolated surface function was firstly put forward and introduced to fit the height anomaly in this article, which is established as the new method to transform GPS geoid height to normal height. The principle of the fractal-interpolated surface was discussed. The formula and the theorem of fractal dimension of the fractal-interpolated surface were analyzed. The numerical analysis of height anomaly fit by the fractal interpolated surface and the result comparison with the quadric polynomial surface model with practical data were given. It can be indicated by the practical example that the fractal-interpolated surface function is obviously superior to the quadric polynomial surface for the fitted accuracy of the height anomaly.

关 键 词：GPS 大地高 正常高 分形插值曲面函数 

分 类 号：P228.4[天文地球—大地测量学与测量工程]