利用熵函数模型解算GPS高程异常  

Solving GPS elevation anomaly with entropy function model

作　　者：邓捷利 陈天伟[1,2] 杨茜茜 郑旭东 DENGJie-li;CHEN Tian-wei;YANG Qian-qian;ZHENG Xu-dong(College of Geomatics and Geoinformation, Guilin University of Technology, Guilin 541006, China;Guangxi Key Laboratory of Spatial Information and Geomatics, Guilin University of Technology, Guilin 541006, China)

机构地区：[1]桂林理工大学广西空间信息与测绘重点实验室,广西桂林541006 [2]桂林理工大学测绘地理信息学院,广西桂林541006

出　　处：《桂林理工大学学报》2019年第3期674-677,共4页Journal of Guilin University of Technology

基　　金：广西自然科基金项目(2017GXNSFAA198308);广西空间信息与测绘重点实验室项目(15-140-07-09)

摘　　要：针对传统GPS高程异常拟合方法在地形复杂的地区拟合时模型对样本依赖程度不充分,从而降低了拟合精度的情况,通过最大熵原理分析模型系统对空间权重系数的依赖度,由相应模型解算得到的权系数与点位关系相适应,将该方法应用于GPS高程异常拟合。通过某区域GPS联测水准实例,用已知高程异常与二次曲面法、多面函数法、加权均值法、最大熵法的拟合值比较,结果表明:在地形复杂的区域,最大熵法有更好的表现。Traditional GPS elevation anomaly fitting method is not fully dependent on the sample when fitting in a terrain with complex terrain.In order to reduce the fitting accuracy, the maximum entropy principle is used to analyze the dependence degree of the model system on the spatial weight coefficient.The weight coefficient calculated by the corresponding model is adapted to the point relationship, and used in GPS elevation anomaly fitting. In an engineering example, the fitting accuracy of quadric surface method, multi-faceted function method, weighted average method and maximum entropy method are compared.The results show that the maximum entropy method performs better in areas with complex terrain.

关 键 词：最大熵 拟合 GPS高程异常 

分 类 号：P228[天文地球—大地测量学与测量工程]