| L evenberg-M arquardt 算法在空间三维测边网中的应用 |
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| 引用本文： | 王罗刚,王同合,范百兴,程志强,王伟杰.L evenberg-M arquardt 算法在空间三维测边网中的应用[J].测绘工程,2016,25(3):68-72. |
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| 作者姓名： | 王罗刚 王同合 范百兴 程志强 王伟杰 |
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| 作者单位： | 信息工程大学,河南 郑州,450001;浙江华东建设工程有限公司,浙江 杭州,310000 |
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| 摘 要： | 高精度三维坐标控制网是进行空间大尺寸精密坐标测量的基础,在对大尺寸机构和大型设备的安装、调试、监测过程中发挥着至关重要的作用。现阶段,激光测距的精度可达微米级,因此,利用激光测距可建立高精度的三维控制网。与边角网中点位精度受测角和测距精度两者的影响不同,三维测边网中点位精度仅受测距误差的影响。为了建立全局的精密三维控制网,文中基于激光测距建立了三维测边网整体平差模型,解算出测站点与定向点坐标,并利用Levenberg-Marquardt(LM)优化算法根据距离前方交会原理对三维网进行优化。经实验验证,优化算法提高了定向点的精度。
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| 关 键 词： | 三维控制网 激光测距 Levenberg-Marquardt算法 距离前方交会 |
Application of Levenberg-Marquardt algorithm to 3D trilateration network |
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| WANG Luogang,WANG Tonghe,FAN Baixing,CHENG Zhiqiang,WANG Weijie.Application of Levenberg-Marquardt algorithm to 3D trilateration network[J].Engineering of Surveying and Mapping,2016,25(3):68-72. |
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| Authors: | WANG Luogang WANG Tonghe FAN Baixing CHENG Zhiqiang WANG Weijie |
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| Abstract: | High precision three‐dimensional coordinate control network is the basis of large space precision coordinate measuring ,w hich plays a vital role in large institutions and equipment installation ,debugging and monitoring process .At present ,laser ranging accuracy can reach micron grade ,so it can be used to establish a high precision three‐dimensional control network . Different from the traditional triangulateration network ,the control network is affected by the measurement accuracy and the accuracy of the distance measurement .The trilateration network is only related to the accuracy of the distance measurement .In order to build a global precision three‐dimensional control network ,this paper ,based on the laser ranging established trilateration netw ork overall adjustment model ,consequently calculates the station and orientation points coordinates ,and the Levenberg‐Marquardt algorithm is used to optimized the network according to the distance forward intersection .The results show that the optimization algorithm can improve the accuracy of the orientation points . |
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| Keywords: | three-dimensional network laser ranging Levenberg-Marquardt algorithm distance forward intersection |
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