摘要
由测地坐标系中大地线的微分方程式推导出其微分关系式,得出了在地球椭球面上基于测地坐标进行正反解的算法和公式,它与大地主题解算公式相比,更为简捷明了。由实际计算数据表明,对于100km以下的距离解算,它亦能达到相当高的精度。因此测地坐标的点位表述不仅可用于DEM和GIS三维可视化,也可用于三维GIS建模以及空间度量和分析。
Based on theories of differential geometry and geodesy,the paper presents differential rela-tionship of geodesic lines in geodesic coordinate system and deduces the algorithms and formulas for di-rect and inverse solution of geodesic problem.Compared with those formulas for solution of geodesic problem,these formulas are more convenient and accurate enough for the region of middle size,which has been demonstrated by data examples.Accordingly,it is concluded that geodesic coordinate system can be adopted in modelling,visualization and spatial analysis of GIS.
出处
《测绘工程》
CSCD
2003年第1期9-12,共4页
Engineering of Surveying and Mapping
基金
国家自然科学基金资助项目(49971067)
关键词
测地坐标系
方向角
微分方程式
DEM
GIS
数字高程模型
Direct and inverse solution of geodesic problem
The first differential relationship of goedesic line
Direction angle in geodesic coordinate system
