坐标转换 Partial-EIV 总体最小二乘方法

摘要

在测量数据处理过程中，针对系数矩阵中同时存在随机元素和固定元素的情况，Xu等通过将随机元素分离使EIV模型推广到Partial‐EIV模型，并给出基于Partial‐EIV模型的总体最小二乘（TLS）算法。文中介绍该算法，并将其应用在平面及空间的坐标转换中，通过与最小二乘（LS）、总体最小二乘（TLS）及加权总体最小二乘（WTLS）方法的比较和分析，验证该算法有效性。%In geodetic data processing ,the situation that the random and fixed elements exist simultaneously in coefficient matrix will be common .To solve this problem ,Xu (Xu et al ,2012) expands the EIV model to Partial‐EIV model and proposes a total least squares method to the new adjustment model .In this paper , the algorithm proposed by Xu is introduced and applied to the plane and space coordinate transformation . The examples compare four methods (LS ,TLS ,WTLS and the introduced algorithm) and the effectiveness is tested through the result .