| 基于罗德里格矩阵的三维坐标转换方法 |
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| 引用本文： | 李永正,许鹏,杜彬. 基于罗德里格矩阵的三维坐标转换方法[J]. 测绘与空间地理信息, 2021, 44(4): 192-194 |
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| 作者姓名： | 李永正 许鹏 杜彬 |
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| 作者单位： | 山东省国土测绘院,山东 济南250100 |
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| 摘 要： | 采用罗德里格矩阵公式,在不考虑尺度因子的情况下,建立了基于罗德里格矩阵的六参数坐标转换模型,推导了高精度参数初值计算方法,最小二乘迭代法平差公式.通过实测数据验证,通过实测数据计算,表明该算法具有精度高、稳定性强、适用性广等优点.
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| 关 键 词： | 三维坐标转换 罗德里格矩阵 最小二乘迭代法 |
3D Coordinate Transformation Method Based on Rodrigues Matrix |
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| LI Yongzheng,XU Peng,DU Bin. 3D Coordinate Transformation Method Based on Rodrigues Matrix[J]. Geomatics & Spatial Information Technology, 2021, 44(4): 192-194 |
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| Authors: | LI Yongzheng XU Peng DU Bin |
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| Affiliation: | (Shandong Institute of Land Surveying and Mapping,Ji′nan 250100,China) |
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| Abstract: | In this paper,Rodrigues matrix formula is used to establish a six-parameter coordinate transformation model based on Rodrigues matrix without considering the scale factor.The calculation method of high-precision initial value of parameters and the adjustment formula of least square iteration method are derived.Through the verification of the measured data and the calculation of the measured data,the algorithm has the advantages of high precision,strong stability and wide applicability. |
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| Keywords: | 3D coordinate transformation Rodrigues matrix least squares iteration method |
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