椭球面上Delaunay三角形的外接大地圆圆心的求解  

Determination of Center for Geodetic Circle Which Passes through Three Top Points of Triangle on Ellipsoidal Surface

作　　者：施一民[1] 朱紫阳[2] 

机构地区：[1]同济大学测量与国土信息工程系,上海200092 [2]广东省国土资源厅测绘院,广东广州510500

出　　处：《同济大学学报（自然科学版）》2004年第1期78-81,共4页Journal of Tongji University:Natural Science

基　　金：国家自然科学基金资助项目(49971067);地球空间环境与大地测量教育部重点实验室开放基金资助项目(03-04-02)

摘　　要：在椭球面上构建Delaunay三角网,与在平面上构网有不完全相同的定义与算法.作为其中之一,首先来定义椭球面三角形的外接大地圆,然后推导出在测地坐标系中确定外接大地圆圆心的公式和算法.并对此作了数据验证.This digital terrain model (DTM) based on the ellipsoidal surface is essentially different from DTM based on projected plane because the Delaunay triangulation net is built based on geodesic coordinate system on regional ellipsoidal surface. The definition and algorithms of both DTM are not at all same. In order to determine the center of geodetic circle which passes through three top points of a triangle on the ellipsoidal surface, algorithm and formulas are deduced in this paper. Illustrations are given to show their validity.

关 键 词：椭球面 测地坐标 DELAUNAY三角网 Vomnoi图 

分 类 号：P226[天文地球—大地测量学与测量工程]