摘要
约束秩亏间接平差模型的解算存在多种算法,本文针对约束秩亏间接平差模型的虚拟观测算法,提出将约束条件方程看作虚拟观测方程,并与原有的秩亏间接平差模型组成新的误差方程,在满足逆存在条件后,通过间接平差模型进行直接解算。本文详细分析推导出虚拟观测算法的参数估计表达式,利用矩阵反演公式证明约束秩亏间接平差模型中虚拟观测算法和常规算法的等价性。通过算例验证虚拟观测算法的有效性,结果表明,该算法推导过程简单、使用方便。
There are various algorithms for the solution of the constrained rank-defect indirect adjustment model.Aiming at the virtual observation algorithm of the constrained rank-defect indirect adjustment model,this article proposes to treat the constraint condition equation as a virtual observation equation,and form a new error equation with the original rank-defect indirect adjustment model.After meeting the inverse existence condition,the indirect adjustment model is used for direct solution.In this paper,the parameter estimation expression of the virtual observation algorithm is analyzed and derived in detail,and the matrix inversion formula is used to prove the equivalence between the virtual observation algorithm and the conventional algorithm in the constrained rank-defect indirect adjustment model.The effectiveness of the virtual observation algorithm is verified through examples,and the results show that the derivation process of the virtual observation algorithm is simple and easy to use.
作者
胡锋
周斌
汪奇生
朱嘉汝
Hu Feng;Zhou Bin;Wang Qisheng;Zhu Jiaru(College of Civil Engineering,Xiangtan University,Xiangtan 411105,China;Transfigure Design Co.,Ltd.,Changsha 410004,China)
出处
《工程勘察》
2025年第6期86-90,共5页
Geotechnical Investigation & Surveying
关键词
约束
秩亏
虚拟观测
间接平差
constraints
rank-defect
virtual observation
indirect adjustment
