|
- 2016
坐标参数化的平面基准转换方法
|
Abstract:
工程测量中经常需要实现不同坐标系下成果的相互转换,而高精度的转换参数是完成这一工作的基础。获取基准转换参数的实质就是利用公共点在两套坐标系下的坐标,根据相似变换原理建立误差方程求解。传统的最小二乘(LS)相似变换法只考虑了公共点在一套坐标系下的误差,与实际情况不符。基于此,探讨了坐标参数化的平面基准转换方法,解决了考虑公共点在两套坐标系下坐标都含有误差时高斯-马尔科夫(Gauss-Markov,G-M)模型不成立的问题,以相似变换原理为基础,采取通用的最小二乘方法解算基准转换参数
[1] | Huang Dingfa.GPS Satellite Navigation and Positioning Technologies and Methods[M].Beijing:Science Press,2009(黄丁发.GPS卫星导航定位技术与方法[M].北京:科学出版社,2009) |
[2] | Lu Jue,Chen Yi,Zheng Bo.Applying Total Least Squares to 3D Datum Transformation[J].Journal of Geodesy and Geodynamics, 2008, 28(5):77-81(陆珏,陈义,郑波.总体最小二乘方法在三维坐标转换中的应用[J].大地测量与地球动力学, 2008,28(5):77-81) |
[3] | Lu Jue,Chen Yi,Zheng Bo.Performing Nonlinear 3D Datum Transformation Using WTLS and CTLS Method[J].Journal of Geodesy and Geodynamics, 2012, 32(6):129-134(陆珏,陈义,郑波.三维非线性基准转换的加权和加约束总体最小二乘解算模型[J].大地测量与地球动力学,2012,32(6):129-134) |
[4] | Ge Xuming,Wu Jicang.Iterative Method of Weight Constraint Total Least-Squares for 3D Datum Transformation[J].Geomatics and Information Science of Wuhan University,2012,37(2):178-182(葛旭明,伍吉仓.三维基准转换的约束加权混合整体最小二乘的迭代解法[J].武汉大学学报·信息科学版,2012, 37(2):178-182) |
[5] | Xu Tianhe,Yang Yuanxi. The Hypothesis Testing of Scale Parameter in Coordinate Transformation Model[J].Geomatics and Information Science of Wuhan University,2001, 26(1):70-74(徐天河, 杨元喜.坐标转换模型尺度参数的假设检验[J].武汉大学学报·信息科学版,2001,26(1):70-74) |
[6] | Zeng Wenxian,Tao Benzao.Non-linear Adjustment Model of Three-Dimensional Coordinate Transformation[J].Geomatics and Information Science of Wuhan University,2003,28(5):566-568(曾文宪,陶本藻.三维坐标转换的非线性模型[J].武汉大学学报·信息科学版,2003, 28(5):566-568) |
[7] | Zeng Huai'en,Huang Shengxiang.A Kind of Direct Search Method Adapted to Solution of 3D Coordinate Transformation Parameters[J].Geomatics and Information Science of Wuhan University,2008,33(11):1118-1121(曾怀恩,黄声享.三维坐标转换参数求解的一种直接搜索法[J].武汉大学学报·信息科学版,2008,33(11):1118-1121) |
[8] | Li Bofeng, Shen Yunzhong, Li Weixiao.The Seamless Model for 3D Datum Transformation[J]. Sci China Earth Sci,2012, 42(7):1047-1054(李博峰,沈云中,李微晓.无缝三维基准转换模型[J].中国科学:地球科学,2012,42(7):1047-1054) |
[9] | Chen Yi,Shen Yunzhong.Robust Estimation of 3D Nonlinear Datum Transformation[J].Journal of Geodesy and Geodynamics,2004, 23(4):49-53(陈义,沈云中.非线性三维基准转换的稳健估计[J].大地测量与地球动力学,2004, 23(4):49-53) |
[10] | Kong Jian,Yao Yibin,Wu Han.Iterative Method for Total Least-Squares[J]. Geomatics and Information Science of Wuhan University,2010,35(6):711-714(孔建,姚宜斌,吴寒. 整体最小二乘的迭代解法[J].武汉大学学报·信息科学版, 2010, 35(6):711-714) |
[11] | Zhang Pengjie,Qiu Weining,Cheng Jinwei,et al.Weighted Total Least Squares to Solve Linear Model Parameters and Accuracy Estimation[J].Journal of Geomatics,2012,37(1):4-5(张鹏杰,邱卫宁,程进伟,等.加权整体最小二乘求解线性模型参数及精度估计[J].测绘信息与工程, 2012, 37(1):4-5) |
[12] | Yang Siping,Fan Dongming,Long Yuchun.An Improved Weighted Total Least Squares Algorithm[J].Journal of Geodesy and Geodynamics,2013, 33(1):48-52(杨仕平,范东明,龙玉春.加权整体最小二乘算法的改进[J].大地测量与地球动力学,2013,33(1):48-52) |