椭球面上绘制大地线的算法  

An algorithm of expressing geodesic on the ellipsoid surface

作　　者：唐红涛[1] 王微[2] 杨永崇[3] 崔笃信[1] 张希[1] 

机构地区：[1]中国地震局第二监测中心,西安710054 [2]天津市星际空间地理信息工程有限公司,天津300384 [3]西安科技大学测绘学院,西安710054

出　　处：《测绘科学》2015年第4期7-10,共4页Science of Surveying and Mapping

基　　金：地震行业专项(201208006);陕西省自然科学基础研究项目(2014JM2-4039)

摘　　要：针对传统二维线划图无法表达大区域地理要素的问题,该文提出了一种在椭球面上绘制大地线的算法。以等间距内插空间直线逼近空间曲线这一思想作为基础,通过Bessel大地主题正、反算及克莱劳方程,实现大地线内插与绘制的综合分析与解算。实验结果表明,该方法较好地解决了在参考椭球面上难以精确绘制大地线的问题,对传统地图向三维椭球面线划图的转换与应用具有一定的参考价值。Aiming at the problem that traditional two-dimensional DLG cannot express large area geographical elements,an algorithm that drew geodesic on the ellipsoid surface was put forward in this paper.Taking the theory of approximating spatial curve with spatial straight line as basis,the comprehensive analysis and computation of geodesic interpolation and expressing was realized through the Bessel geodetic solution and Clairaut theorem.Experimental results showed that this algorithm solved the problem that could not exactly draw geodesic on the ellipsoid surface,which had reference value for the conversion and application from traditional map to three-dimensional ellipsoid DLG.

关 键 词：椭球面 数字/电子地图 大地线 克莱劳方程 大地线内插 Bessel大地解算 

分 类 号：P226[天文地球—大地测量学与测量工程]