LC曲线法与拟准检定法在公路测量GPS坐标转换中的应用
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摘要
在公路控制测量中,GPS坐标转换至国家或城市坐标经常会遇到系数矩阵病态和公共点粗差导致坐标转换失败的问题。文中将LC曲线法用于解决系数矩阵病态问题,介绍了该算法的基本思想、转换思路,同时将拟准检定法用于抵抗公共点坐标存在的粗差问题。算例研究表明,LC曲线法与拟准检定法能够分别克服公路控制测量坐标转换中病态矩阵及坐标粗差的问题,从而获得较高精度的转换坐标。
In highway control survey,GPS coordinate transforming into the state coordinate often encountered the problem morbidity matrix and public point of gross error resulting in the coordinate conversion failure. In the paper,the LC curve method was used to solve the morbid problem of the coefficient matrix,and the conversion ideas and the basic idea of the algorithm were introduced,at the same time,QUAD was used to resist the gross error of the common point coordinates. Results showed that the LC curve method and QUAD could overcome the problem of the morbidity matrix and the coordinate gross error in the coordinate transformation in highway control survey,so as to obtain the higher precision conversion coordinates.
In highway control survey,GPS coordinate transforming into the state coordinate often encountered the problem morbidity matrix and public point of gross error resulting in the coordinate conversion failure. In the paper,the LC curve method was used to solve the morbid problem of the coefficient matrix,and the conversion ideas and the basic idea of the algorithm were introduced,at the same time,QUAD was used to resist the gross error of the common point coordinates. Results showed that the LC curve method and QUAD could overcome the problem of the morbidity matrix and the coordinate gross error in the coordinate transformation in highway control survey,so as to obtain the higher precision conversion coordinates.
引文
[1]姜晨光,朱佑国,黄奇璧,等.公路控制测量中GPS坐标向国家坐标转换的三维分离回归法[J].中国公路学报,2005(1):23-27.
[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]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.
[4]卢秀山,冯遵德,刘纪敏.病态系统分析理论及其在测量中的应用[M].北京:测绘出版社,2007.
[5]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,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]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.
[4]卢秀山,冯遵德,刘纪敏.病态系统分析理论及其在测量中的应用[M].北京:测绘出版社,2007.
[5]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,2000.