附合导线近似平差精度评估数学模型  

Precision estimation mathematics model of connecting traverse approximate adjustment

作　　者：史经俭[1] 刘云[2] 

机构地区：[1]西安科技大学测绘学院,陕西西安710054 [2]西安文理学院初等教育学院,陕西西安710001

出　　处：《西安科技大学学报》2011年第3期337-342,共6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：附合导线是平面控制网经常采用的一种形式,尤其在线型工程中应用更为广泛。四等以上的附合导线计算要采用严密平差方法,求出最小二乘最优结果并评定成果的精度,有完整的数学模型。四等以下的附合导线计算,往往采用近似平差方法,求出控制点的平面坐标,但没有精度评估的严密模型,使附合导线近似平差体系不完整。论文针对附合导线的近似平差步骤,根据方差—协方差传播律,建立了附合导线近似平差的点位坐标方差(阵)的计算模型,以此为基础,可对附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了完善。Connecting Traverse Annexed traverse is one form which is adopted by horizontal control network frequently,especially is applied in the linear project widely.The computation of connecting traverse above four degree adopts rigorous adjustment,compute the superior result of least square method,have complete mathematics model.Connecting traverse under four degree usually adopts approximate adjustment,computes the horizontal coordinate of control points,but have no rigorous model of precision estimation to make approximate adjustment system of connecting traverse incomplete.This paper aims at the approximate adjustment step of connecting traverse,according to variance-covariance propagation law,built coordinate variance（matrix） computation model of connecting traverse approximate adjustment,and can estimate the precision of adjusted coordinate and function,make the mathematics model of approximate adjustment perfect.

关 键 词：近似平差 严密平差 精度评估 数学模型 

分 类 号：P207.2[天文地球—测绘科学与技术]