利用激光干涉测距三维网的加权秩亏自由网平差
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摘要
激光跟踪仪在激光干涉测距模式下,其测距精度要远远高于测角精度,利用极坐标测量的空间点坐标精度主要受测角误差的影响,利用激光跟踪仪的高精度激光干涉测距值构成空间三维激光干涉测边网,消除测角误差对空间点位的影响,采用基于重心基准的加权秩亏网平差模型进行整网平差。定向点坐标近似值采用极坐标方法确定,测站中心坐标近似值采用距离后方交会解算,通过附加约束矩阵精密求解测站点和定向点的三维坐标值。实际计算结果表明,该模型在12m测量范围内将激光跟踪仪的点位精度由87μm(标称值)提高到了27μm。
In this research,the precise laser interferometer range of laser tracker alone is used to structure 3Dtrilateration network,so angular error is removed.The adjustment model is the weighted rank defect free-network and the adjustment datum is an areal datum.The approximation parameter of the orientation point coordinates is calculated with angle and distance,and a trilinear surveying method is used to get approximate station coordinates.Moreover,the station and orientation points were calculated precisely using an additional constrained matrix.The results show that the 3Dtrilateration network adjustment model can substantially raise point accuracy.
In this research,the precise laser interferometer range of laser tracker alone is used to structure 3Dtrilateration network,so angular error is removed.The adjustment model is the weighted rank defect free-network and the adjustment datum is an areal datum.The approximation parameter of the orientation point coordinates is calculated with angle and distance,and a trilinear surveying method is used to get approximate station coordinates.Moreover,the station and orientation points were calculated precisely using an additional constrained matrix.The results show that the 3Dtrilateration network adjustment model can substantially raise point accuracy.
引文
[1]Li Guangyun,Li Zongchun.The Principle and Application of Industry Measurement System[M].Beijing:Surveying and Mapping Press,2011(李广云,李宗春.工业测量系统原理与应用[M].北京:测绘出版社,2011)
[2]Zhou Weihu.Research on the Precision Theory of Large-Scale Coordinate Measuring Systems[D].Hefei:Hefei University of Technology,2000(周维虎.大尺寸空间坐标测量系统精度理论若干问题的研究[D].安徽:合肥工业大学,2000)
[3]Huang Weibin.The Principle and Application of Modern Adjustment[M].Beijing:PLA Press,1992(黄维彬.近代平差理论及其应用[M].北京:解放军出版社,1992)
[4]Song Lijie.The Programming Design of Adjustment[M].Changsha:National Defense Industry Press,2009(宋力杰.测量平差程序设计[M].长沙:国防工业出版社,2009)
[5]Luo Tao,Dong Lan.The Rigorous Adjustment and Its Software Realization of Three Dimensions Control Network Based on Laser Tracker[J].Journal of Beijing Surveying,2011(1):1-7(罗涛,董岚.基于激光跟踪仪三维控制网严密平差与软件实现[J].北京测绘,2011(1):1-7)
[6]Leica Geosystems.Tracker Programming Interface of emScon 3.5Programmers[C].Leica Geosystems AG,Unterentfelden Switzerland,2010
[7]Yu Chenghao.Horizontal Precision Estimation of Large-Scale Three-dimensional Control Network[J].Journal of Surveying and Mapping Science,2008,33(2):42-44(于成浩.大尺寸激光跟踪仪三维控制网平面精度研究[J].测绘科学,2008,33(2):42-44)
[8]Shi Yimin.The Characteristics of Defect Free-network Adjustment and the Significance of Robust Datum[J].Journal of Tongji University,1991,19(3):279-286(施一民.论秩亏自由网平差的性质及稳健基准的意义[J].同济大学学报,1991,19(3):279-286)
[9]Zhao Chaoying,Huang Guanwen.The General Solution of Defect Free-network Adjustment[J].Journal of Earth Science and Environmental,2010,32(2):215-217(赵超英,黄观文.秩亏自由网平差及其通解[J].地球科学与环境学报,2010,32(2):215-217)
[10]Liu Taosheng,Huang Shengxiang.The Horizontal Coordinate System Transformation Based on Center of Gravity Datum[J].Journal of Geodetic Surveying and Geodynamics,2011,31(2):102-105(刘陶胜,黄声享.基于重心基准的平面坐标转换研究[J].大地测量与地球动力学,2011,31(2):102-105)
[11]The American Society of Mechanical Engineers.ASME B89.4.19-2006(Performance Evaluation of Laser-Based Spherical Coordinate Measurement Systems)[S].New York:The American Society of Mechanical Engineers,2006
[2]Zhou Weihu.Research on the Precision Theory of Large-Scale Coordinate Measuring Systems[D].Hefei:Hefei University of Technology,2000(周维虎.大尺寸空间坐标测量系统精度理论若干问题的研究[D].安徽:合肥工业大学,2000)
[3]Huang Weibin.The Principle and Application of Modern Adjustment[M].Beijing:PLA Press,1992(黄维彬.近代平差理论及其应用[M].北京:解放军出版社,1992)
[4]Song Lijie.The Programming Design of Adjustment[M].Changsha:National Defense Industry Press,2009(宋力杰.测量平差程序设计[M].长沙:国防工业出版社,2009)
[5]Luo Tao,Dong Lan.The Rigorous Adjustment and Its Software Realization of Three Dimensions Control Network Based on Laser Tracker[J].Journal of Beijing Surveying,2011(1):1-7(罗涛,董岚.基于激光跟踪仪三维控制网严密平差与软件实现[J].北京测绘,2011(1):1-7)
[6]Leica Geosystems.Tracker Programming Interface of emScon 3.5Programmers[C].Leica Geosystems AG,Unterentfelden Switzerland,2010
[7]Yu Chenghao.Horizontal Precision Estimation of Large-Scale Three-dimensional Control Network[J].Journal of Surveying and Mapping Science,2008,33(2):42-44(于成浩.大尺寸激光跟踪仪三维控制网平面精度研究[J].测绘科学,2008,33(2):42-44)
[8]Shi Yimin.The Characteristics of Defect Free-network Adjustment and the Significance of Robust Datum[J].Journal of Tongji University,1991,19(3):279-286(施一民.论秩亏自由网平差的性质及稳健基准的意义[J].同济大学学报,1991,19(3):279-286)
[9]Zhao Chaoying,Huang Guanwen.The General Solution of Defect Free-network Adjustment[J].Journal of Earth Science and Environmental,2010,32(2):215-217(赵超英,黄观文.秩亏自由网平差及其通解[J].地球科学与环境学报,2010,32(2):215-217)
[10]Liu Taosheng,Huang Shengxiang.The Horizontal Coordinate System Transformation Based on Center of Gravity Datum[J].Journal of Geodetic Surveying and Geodynamics,2011,31(2):102-105(刘陶胜,黄声享.基于重心基准的平面坐标转换研究[J].大地测量与地球动力学,2011,31(2):102-105)
[11]The American Society of Mechanical Engineers.ASME B89.4.19-2006(Performance Evaluation of Laser-Based Spherical Coordinate Measurement Systems)[S].New York:The American Society of Mechanical Engineers,2006