加权总体最小二乘在重心化Bursa模型中的应用  

The Application of the Weighted Total Least Squares in the Center of Bursa Model

作　　者：张帅[1] 陈义[1,2] 万鹏[1] 

机构地区：[1]同济大学测绘与地理信息学院,上海200092 [2]国家测绘与地理信息局现代工程测量重点实验室,上海200092

出　　处：《测绘与空间地理信息》2016年第8期195-197,共3页Geomatics & Spatial Information Technology

摘　　要：研究了基于加权总体最小二乘的重心化布尔沙模型的坐标转换算法,针对坐标转换中原始坐标和目标坐标均存在误差的问题,根据误差的影响程度不同而给予不同的权值,利用加权总体最小二乘方法求解转换参数。坐标重心化的方法可以解决布尔沙模型在局部地区容易出现病态的问题,将两种方法结合可以很好地提高坐标转换的精度,通过实例验证了该方法的优越性。Research on the center of gravity of Bursa model coordinate conversion algorithm based on the weighted total least squares.For the problem of errors exist in the original coordinates and target coordinates in the coordinate transformation,determine the different weights depending on the degree of influence of the errors,solve the transformation parameters with the weighted total least squares method.The coordinates of the center of gravity method can solve morbid problems of the Bursa model when it is used in the local area.Through the combination of the two methods we can improve the precision of coordinate transformation,demonstrates the superiority of the method through some numerical examples.

关 键 词：加权总体最小二乘(WTLS) 坐标重心化 坐标转换 布尔沙模型 

分 类 号：P226.2[天文地球—大地测量学与测量工程]