| 基于重心基准的平面坐标转换研究 |
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| 引用本文： | 刘陶胜,黄声享,罗力,曾宪珪,李沛鸿.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):102-106. |
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| 作者姓名： | 刘陶胜 黄声享 罗力 曾宪珪 李沛鸿 |
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| 作者单位： | 1)武汉大学测绘学院，武汉 430079;2)江西理工大学建筑与测绘学院，赣州 341000 |
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| 基金项目： | 江西省教育厅科技项目(GJJ11473) |
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| 摘 要： | 不同平面直角坐标系的转换包括平移、旋转和尺度因子4个参数,当转换系数矩阵严重病态时,参数解不可靠.考虑到自由网平差中的重心基准条件与转换模型的相关性,通过附加重心基准条件消去两个平移参数来解决转换矩阵严重病态的问题,从而求出正确的坐标转换参数.用实例对该方法进行了验证.
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| 关 键 词： | 坐标转换 参数计算 病态矩阵 自由网平差 重心基准 |
ON PLANE COORDINATE TRANSFORMATION BASED ON BARYCENTRE DATUM |
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| Liu Taosheng,Huang Shengxiang,Luo Li,Zeng Xiangui,Li Peihong.ON PLANE COORDINATE TRANSFORMATION BASED ON BARYCENTRE DATUM[J].Journal of Geodesy and Geodynamics,2011,31(2):102-106. |
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| Authors: | Liu Taosheng Huang Shengxiang Luo Li Zeng Xiangui Li Peihong |
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| Institution: | Liu Taosheng 1,2),Huang Shengxiang 1),Luo Li 1),Zeng Xiangui 2) and Li Peihong 2) 1)School of Geodesy and Geomatics,Wuhan University,Wuhan 430079 2)Faculty of Architectural and Mapping Engineering of Jiangxi University of Science and Technology,Ganzhou 341000 |
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| Abstract: | The coordinate transformation between different coordinate systems includes four parameters: two translations,one rotation,and one scale paramete.When there is ill-condition transformation matrix,the common points' little errors may cause big fluctuation of parameters' results.Considering the unity between coordinate transformation model and centre of gravity datum of free net adjustment,the two translation parameters may be elimineted under auxiliary condition.This method is validated with an example. |
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| Keywords: | coordinate transformation parameter calculation ill-conditioned matrix free net adjustment centre of gravity datum |
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