附加垂线偏差参数的抗差三维工程控制网平差  

Robust three dimensional engineering control network adjustment with additional parameters of vertical deflection

作　　者：杨浩 李宗春[1] 冉佳欢 刘忠贺 王志颖 YANG Hao;LI Zongchun;RAN Jiahuan;LIU Zhonghe;WANG Zhiying(Information Engineering University,Zhengzhou 450001,China)

机构地区：[1]信息工程大学,郑州450001

出　　处：《测绘科学》2022年第6期57-64,共8页Science of Surveying and Mapping

基　　金：国家自然科学基金项目(41974216)

摘　　要：针对全站仪设站时测站垂线偏差对平差结果的影响,该文将测站垂线偏差作为未知参数引入到平差模型中,构建附加垂线偏差参数的六参数三维控制网平差模型,并基于IGGⅢ权函数作为等价权引入抗差估计以减免粗差值的影响。针对由5个观测墩构成的三维工程控制网观测成果,设计并实现了四参数平差方法、顾及铅垂线不平行性改正平差方法、附加垂线偏差参数平差方法和引入抗差估计的附加垂线偏差参数平差方法等4种解算方案。试验结果表明,相比于四参数平差方法和顾及铅垂线不平行性改正平差方法,将垂线偏差作为未知参数能够有效消除垂线偏差对平差结果的影响,提高未知点坐标的精度及可靠性,从而提升三维控制网整体平差效果;引入抗差估计能够进一步改善平差结果。Aiming at the effect of station vertical deflection on adjustment results,a six-parameter 3 D control network adjustment model was proposed,which considered the vertical deflection of the station as an unknown parameter,and took the Institute of Geodesy and Geophysics(IGG)Ⅲweight function as equivalent weight to further reduce the impact of gross error.For the observations of 3 D engineering control network consisting of five observation piers,four kinds of adjustment methods were designed and implemented,the four-parameter adjustment method,the plumb line non-paralleled correction adjustment method,the additional vertical deflection parameters adjustment method,and the additional vertical deflection parameters adjustment method with robust estimation.Experimental results showed that compared with the four-parameter adjustment method and the plumb line non-paralleled correction adjustment method,the method that take the vertical deflection as an unknown parameter could effectively eliminate the influence of vertical deflection,improve the precision and reliability of unknown points coordinate,and enhance the 3 D control network adjustment results;the adjustment results could be further improved by the robust estimation.

关 键 词：三维工程控制网平差 垂线偏差 六参数平差模型 四参数平差模型 铅垂线不平行性改正 抗差估计 

分 类 号：P258[天文地球—测绘科学与技术]