附参数的条件平差与按行独立的加权总体最小二乘法估计的一致性研究

摘要

In modern surveying technology,coordinates,baselines and point clouds are original observations,the function of the parameters and the observations are usually given in an implicit way,and the function should be linearized as the condition adjustment with parameters.But in most applications,the adjustment are not conducted in this way,the total least squares and the residual error least-squares are often performed to resolve such problems.The consistency between the row-wised weighted total least squares and the condition adjustment with parameters are verified to promote the applications on modern surveying data processing with TLS and its extended methods.%以按行独立的变量含误差模型为背景,介绍附参数条件平差方法和按行独立的加权总体最小二乘方法在解决这类问题的原理以及精度估计方法,证明二者估计结果是一致的。旨在揭示总体最小二乘法与经典平差方法的关系,推广总体最小二乘及其扩展方法在现代测量数据处理中的应用。