摘要
文中讨论用多面函数拟合似大地水准面中函数模型的改进、多面函数之核心点及光滑因子的选取问题,并结合工程实例进行验证。研究得出如下结论:在利用正双曲函数拟合时,加入截距后可提高拟合的精度;利用EGM2008模型,内插出覆盖测区的格网交点及GNSS/水准点的高程异常,绘制等值线图,能可视化地选取多面函数的核心点;利用搜索和绘制散点图等,可十分有效地选定使拟合精度最高的光滑因子。
This paper presents the improvement of the function model,the selection method of the core points and the smoothing factor in the quasi-geoid,which,fitted by polyhedral function,are verified with an engineering example.The following conclusions are drawn:a).when fitting with positive hyperbolic function,the precision of fitting can be improved by adding a intercept;b).the EGM2008 model is used,interpolating the elevation anomaly of the grid intersection points and the GPS/leveling points,to draw the contour map and select visually the core points of the polyhedral function;c).the search and drawing scatter plots are used to select effectively the highest smoothing factor which can make the fitting precision.
作者
王仲锋
WANG Zhongfeng(School of Prospecting and Surveying, Changchun Institute of Technology, Changchun 130012, China)
出处
《测绘工程》
CSCD
2021年第6期1-7,共7页
Engineering of Surveying and Mapping
关键词
多面函数
高程异常
光滑因子
似大地水准面
核心点
polyhedral function
elevation anomaly
smoothing factor
quasi-geoid
core point