摘要
为了得到工程测量中坐标转换精度与公共点分布之间的内在关系,利用误差传播理论,建立了坐标转换精度与公共点信息之间的数学模型。分析该数学模型可得:坐标转换精度是以一点为中心,呈同心圆向外衰减分布。文中给出了相应的圆心坐标及圆半径计算公式。最后,通过算例验证了本文结论的正确性。
In order to obtain the internal relationship function between the precision of coordinate transformation and the distribution of common points in engineering survey, the author had established the mathematical model between the precision of coordinate transformation and common points using the error propagation theory. Through analyzing that model, the conclusion could be drawn as follows :The precision of coordinate transformation attenuates while taking a same point which related to the common points as the center. The expressions for calculating the centre coordinate and radius of the circle had been presented in this paper. Finally, the author proved the correctness of the conclusion through simulation.
出处
《地理信息世界》
2009年第4期44-46,50,共4页
Geomatics World
基金
"十一五"国家科技支撑计划项目资助(2006BAJ09B06
2008BAJ11B02)
关键词
坐标系
坐标转换
精度分布
公共点
geodetic coordinate system
coordinate transformation
precision distribution
com- mon points