基于最小范数二次无偏估计的CPⅢ高程控制网联合平差研究  

Combined Adjustment Study of CPⅢElevation Control Network Based on Quadratic Unbiased Estimation of Least Norm

作　　者：何厚学 HE Houxue(China Railway First Survey and Design Institute Group Co.,Ltd.,Xi′an 710042,China;Gansu Railway Comprehensive Engineering Survey Institute Co.,Ltd.,Lanzhou 730000,China)

机构地区：[1]中铁第一勘察设计院集团有限公司,陕西西安710043 [2]甘肃铁道综合工程勘察院有限公司,甘肃兰州730000

出　　处：《云南师范大学学报（自然科学版）》2023年第3期23-29,共7页Journal of Yunnan Normal University:Natural Sciences Edition

基　　金：国家自然科学基金资助项目(41871376).

摘　　要：采用最小范数二次无偏估计进行严密定权,利用高速铁路轨道控制网(CPⅢ)中平面控制网数据的竖直角和斜距获得三角高程观测值,再联合部分CPⅢ高程控制网的精密水准数据构建高程控制网,从而减少精密水准测量外业工作量;通过对实测数据的解算发现,该方法在减少三分之一精密水准观测量后,高程控制网平差结果仍然能满足规范要求.Using the minimum norm quadratic unbiased estimation for rigorous weighting,the elevation control network of the high-speed railway track control network(CPⅢ)was constructed by combining trigonometric elevation observation values from the vertical right angles and oblique distances of CPⅢplane control network with part of precise leveling data of the CPⅢelevation control network to reduce the workload of precision leveling field work.Through the calculation of measured data,it was found that this method can still meet the regulatory requirements for the adjustment results of the elevation control network after reducing precision leveling by one-third.

关 键 词：CPⅢ高程控制网 联合平差 精密水准 精密三角高程 最小范数二次无偏估计 

分 类 号：P258[天文地球—测绘科学与技术]