约束秩亏自由网平差的一种新算法  

A new approach to constrained rank-defective free network adjustment

作　　者：谢建[1] 朱建军[1] 

机构地区：[1]中南大学信息物理工程学院测绘与国土信息工程系,湖南长沙410083

出　　处：《测绘工程》2009年第2期9-11,共3页Engineering of Surveying and Mapping

基　　金：国家自然科学基金资助项目(40574003);教育部博士点基金项目(20050533057);地球空间环境与大地测量教育部重点实验室开放基金(905152533-05-01)

摘　　要：秩亏自由网平差能够处理控制网中没有足够起始数据的问题,在测量数据处理中得到广泛的应用。平差参数间存在等式约束的情形下,一般采用广义逆法。它需要计算法方程系数的M-P逆,计算比较烦琐。针对这一问题,提出附加等式约束秩亏自由网平差的虚拟观测值法,给出解向量及其统计性质。When a control network does not have enough initiation data, rank-defective free network adjustment can work, and be applied in a large amount to deal with surveying data. If adjustment parameters are in equality constraint, generalized inversion method will be adopted. This method must calculate the M-P inversion of the normal equation modulus which is a course loaded down with trivial details. This paper brings forward a virtual observed value method of rank-defective free network adjustment with equality constraint, and gives solution vector and its statistic character.

关 键 词：秩亏自由网 等式约束 广义逆法 虚拟观测法 

分 类 号：P207.2[天文地球—测绘科学与技术]