摘要
等式约束可以充分利用已有的先验信息和观测信息,使参数在满足平差主模型的同时吻合所建立的等式约束先验信息。针对目前附有等式约束的总体最小二乘平差方法都是观测值与系数矩阵独立、等精度的情况,推导了附有随机等式约束和固定等式约束的加权总体最小二乘平差方法的计算公式和精度评定公式,对于附有等式约束的总体最小二乘方法在实际测量数据处理中的应用具有一定的借鉴作用。
The prior information and observation information can be fully used by equality constraints. Then the parameters may satisfy the main adjustment model and equality constraints of prior information at the same time. Now most of the methods of total least squares adjustment with equality constraint are independent and equal preci- sion. According to this condition, the calculation formula and precision evaluation formula are .deduced for the weighted total least squares adjustment with equality constraint when the constraint is random and fixed in this paper. The methods will be widely used in the real surveying data processing and as a reference.
出处
《东华理工大学学报（自然科学版）》
CAS
2013年第2期245-248,共4页
Journal of East China University of Technology(Natural Science)
基金
国家自然科学基金(41204003
41161069)
江西省自然科学基金(20132BAB216004
2010GZC0008
2010GZC0009)
江西省教育厅科技项目(GJJ13456
GJJ13457)
东华理工大学博士科研启动金项目(DHBK201113)
江西省数字国土重点实验室开放研究基金资助项目(DLLJ201207)
关键词
等式约束
加权总体最小二乘平差
随机模型
随机约束
固定约束
equality constraint
weighted total least squares adjustment
stochastic model
random constraint
fixed constraint
