闭合导线近似平差精度评估数学模型  

Mathematic model of precision estimation′s closed traverse approximate adjustment

作　　者：史经俭[1] 师云[1] 

机构地区：[1]西安科技大学测绘科学与技术学院,陕西西安710054

出　　处：《西安科技大学学报》2008年第3期498-502,共5页Journal of Xi’an University of Science and Technology

基　　金：西安科技大学培育基金项目(A515012)

摘　　要：根据闭合导线的近似平差步骤,以方差—协方差传播律为基础,建立了闭合导线近似平差的点位坐标方差(阵)的计算模型,可对闭合导线近似平差后的坐标及其函数的精度进行评估,使近似平差的数学模型得到完善。结合实例,说明了数学模型的使用方法和具体的步骤,可供测绘工作者在测绘设计和测绘生产中,对闭合导线所能达到的精度进行评估进而调整导线形状或测量精度,使之达到精度和经济效益最优的状态。This paper aims at the approximate adjustment step of closed traverse ctosed traverse, accords to variance-covariance propagation law, builds up coordinate variance （matrix） computation model of closed traverse approximate adjustment, estimates the precision of adjusted coordinate and function, and make the mathematic model of approximate adjustment perfect. The application method and practical steps are illustrated by and example. Surveying workers can estimate the precision of closed traverse and readjust surverying precision and shape of closed traverse to make it reach an optimum state for step of precision and economic benefits.

关 键 词：近似平差 严密平差 精度评定 数学模型 

分 类 号：P207.2[天文地球—测绘科学与技术]