不同大地坐标系间坐标相互转换的抗差算法研究
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摘要
不同大地坐标系间的坐标转换是采用两套坐标系下坐标的公共点,结合相应的转换模型,求取转换九参数来实现转换的过程。转换时若公共点坐标存在粗差,九参数的求解精度便会受到影响,致使转换失败。文章将传统的Baarda粗差数据探测法、抗差最小二乘法以及拟准检定法用于解决其转换时公共点坐标粗差导致的精度偏离问题。结合转换算例得出精度对比结论,为工程实际中的大地坐标转换算法的选择提供一定的参考依据。
The coordinate transformation between different geodetic coordinate systems applies the common point of coordinates in two sets of coordinate systems. Integrated with corresponding transformation model, the process of transforming nine parameters is produced. If there is a gross error in the common point coordinate during conversion, the accuracy of the nine parameters will be affected, resulting to failure of conversion. The traditional Baarda gross error data detection method, robust least squares method and quasi-accurate detection method are used to solve the problem of precision deviation caused by gross error of common point coordinate during conversion. In combination with conversion algorithm examples, it provides certain reference for the selection of geodetic coordinate conversion algorithm in engineering practice.
The coordinate transformation between different geodetic coordinate systems applies the common point of coordinates in two sets of coordinate systems. Integrated with corresponding transformation model, the process of transforming nine parameters is produced. If there is a gross error in the common point coordinate during conversion, the accuracy of the nine parameters will be affected, resulting to failure of conversion. The traditional Baarda gross error data detection method, robust least squares method and quasi-accurate detection method are used to solve the problem of precision deviation caused by gross error of common point coordinate during conversion. In combination with conversion algorithm examples, it provides certain reference for the selection of geodetic coordinate conversion algorithm in engineering practice.
引文
[1]张华海,王宝山,赵长胜,等．应用大地测量学[M]．徐州：中国矿业大学出版社,2007.
[2]倪飞,赵长胜,郭洋洋．不同大地坐标系间相互转换的病态解决及抗差算法[J]．测绘科学,2011(4):72-74.
[3]孔祥元,郭际明,刘宗泉．大地测量学基础[M]．武汉：武汉大学出版社,2006.
[4]倪飞．几种抗差算法在坐标转换中应用的对比研究[J]．矿山测量,2017(4):92-96,120.
[5]蒋辉,夏勇,樊朝俊．北京54坐标系坐标转换的探讨[J]．南京工业大学学报:自然科学版,2007(4):73-76.
[6]刘亚彬,郑南山,张旭,等．GPS高程拟合的加权总体最小二乘抗差估计[J]．大地测量与地球动力学,2016(1):30-34.
[7]倪飞,崔桂官．空间直角坐标系统转换的抗差算法研究[J]．海洋测绘,2011(6):28-30.
[8]欧吉坤．粗差的拟准检定法[J]．测绘学报,1999(2):2-3.
[9]倪飞,房世龙,赵苏政．拟准检定法在坐标系统转换中的应用研究[J]．测绘地理信息,2015(6):15-18.
[10]柴艳菊．拟准检定的理论、应用及程序设计[D]．北京：中国科学院研究生院；武汉：中国科学院测量与地球物理研究所,2000.
[2]倪飞,赵长胜,郭洋洋．不同大地坐标系间相互转换的病态解决及抗差算法[J]．测绘科学,2011(4):72-74.
[3]孔祥元,郭际明,刘宗泉．大地测量学基础[M]．武汉：武汉大学出版社,2006.
[4]倪飞．几种抗差算法在坐标转换中应用的对比研究[J]．矿山测量,2017(4):92-96,120.
[5]蒋辉,夏勇,樊朝俊．北京54坐标系坐标转换的探讨[J]．南京工业大学学报:自然科学版,2007(4):73-76.
[6]刘亚彬,郑南山,张旭,等．GPS高程拟合的加权总体最小二乘抗差估计[J]．大地测量与地球动力学,2016(1):30-34.
[7]倪飞,崔桂官．空间直角坐标系统转换的抗差算法研究[J]．海洋测绘,2011(6):28-30.
[8]欧吉坤．粗差的拟准检定法[J]．测绘学报,1999(2):2-3.
[9]倪飞,房世龙,赵苏政．拟准检定法在坐标系统转换中的应用研究[J]．测绘地理信息,2015(6):15-18.
[10]柴艳菊．拟准检定的理论、应用及程序设计[D]．北京：中国科学院研究生院；武汉：中国科学院测量与地球物理研究所,2000.