多路绝对激光测距仪精密三维控制网的建立与解算  

Establishment and solution of precision 3D control network based on Multi-channel absolute distance measurement system

作　　者：黄赫 范百兴[1] 段童虎 陈哲 邹方星 HUANG He;FAN Baixing;DUAN Tonghu;CHEN Zhe;ZOU Fangxing(Information Engineering University,Zhengzhou 450001,China)

机构地区：[1]信息工程大学,郑州450001

出　　处：《测绘工程》2024年第1期15-24,共10页Engineering of Surveying and Mapping

摘　　要：建立高精度三维控制网是实现大型粒子加速器等精密工程测量的前提条件,目前主要通过间接测量两点间距离或者自由设站实现,而多路绝对激光测距仪可在0.02~30 m范围内直接测量空间中两点间距离,利用高精度绝对测距值可建立高精度的三维测边控制网。基于多路绝对激光测距仪高精度绝对测距性能,建立仅含控制点间距离的秩亏自由网平差模型,通过任意初值选取,应用改进的LM算法迭代求解非线性超定方程组实现坐标概算,得到方程组的一组解作为未知数的近似值进行整网平差,获得高精度控制点坐标。实验数据分析表明,在8 m×3.5 m×2.5 m的实验范围内,建立控制点平均点位精度优于±1.14μm的三维测边网,可满足现代工业生产中对安装定位的高精度需求。The high-precision 3D network is necessary for particle accelerator project,at present,it is set up pass through distance measurement between two point or free-occupy.The high-precision ranging function of Multi-channel absolute distance measurement system alone is used to structure 3D edge measuring control network,and its ranging is 0.02~30 m,which eliminates the Angle error and obtains the high precision of the global control point.The adjustment model is a rank-defect free net adjustment,and the improved Levenberg-Marquardt method is used to realize the coordinate estimate by taking random initial values and iteratively solving nonlinear equations.A set of control point coordinates with correct relative position relationship are obtained,and this set of coordinates is used as the initial value of adjustment to participate in the adjustment solution of the 3D edge measuring control network.Within the overall experimental range of 8 m×3.5 m×2.5 m,the results show that a 3D edge measuring control network with an average spatial point error of greater than±1.14μm can be structured,so the network precision is satisfied with modern industry mount.

关 键 词：多路绝对激光测距仪 三维测边网 改进的LM算法 控制网概算 秩亏自由网平差 

分 类 号：P207[天文地球—测绘科学与技术] P258