方向后交最佳点位分析  

Analyse of optimum point position for direction resection

作　　者：法惟刚[1] 邢文战[1] 

机构地区：[1]辽宁科技学院,辽宁本溪117022

出　　处：《测绘工程》2004年第4期12-15,34,共5页Engineering of Surveying and Mapping

基　　金：辽宁省教育厅科研计划资助(202273409)

摘　　要：推导出方向后交点位精度的显函数公式;用解析法导出对称交会时最佳交会角和最佳点精度;用无约束最优化共轭梯度法,求出一般情况下方向后交最佳交会角和点位精度;求出同一三角形三个内角分别作顶角进行后交定位的最佳点位,得出三角形内只有一个最佳点位的结论,给出一种选择近似最佳点位的方法。In this paper, a explicit function formula of direction resection is derived. The optimum intersection angles and the point position of symmetric resection are deduced by means of analytic method. Using optimized unrestrainted conjugated gradient method, the optimum intersecton angles and the point positional accuracy in general case are obtained. Three inside angles of the same triangle are regarded respectively vertex angles, the optimum point position of resection is solved. Only one optimum point position in a triangle is concluded. A method of selecting approximate optimum point position is advanced.

关 键 词：最佳点位 点位精度 顶角 方向 解析法 共轭梯度法 推导 三角形 结论 函数公式 

分 类 号：P221.1[天文地球—大地测量学与测量工程] P22[天文地球—测绘科学与技术]