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几种坐标转换计算方法的比较
引用本文:宫晓春,吕志平,王宇谱,吕浩,王宁.几种坐标转换计算方法的比较[J].大地测量与地球动力学,2015,35(4):697-701.
作者姓名:宫晓春  吕志平  王宇谱  吕浩  王宁
摘    要:分析最小二乘配置模型在小角度坐标转换中的应用;运用实验分析最小二乘模型、改进的布尔莎模型以及多元总体最小二乘模型在任意旋转角度坐标转换中的应用,并分析尺度因子和旋转角对坐标转换的影响;证明多元总体最小二乘可以高精度地实现任意尺度因子、任意旋转角度的三维坐标转换。

关 键 词:坐标转换  最小二乘  最小二乘配置  布尔莎模型  多元总体最小二乘  

Comparison of Calculation Methods of Several Coordinate Transformation
GONG Xiaochun,LV Zhiping,WANG Yupu,LV Hao,WANG Ning.Comparison of Calculation Methods of Several Coordinate Transformation[J].Journal of Geodesy and Geodynamics,2015,35(4):697-701.
Authors:GONG Xiaochun  LV Zhiping  WANG Yupu  LV Hao  WANG Ning
Abstract:The least square configuration model is analyzed in the application of small angle coordinate transformation. The least square, improved bursa, and multivariate total least square models are analyzed in the application of arbitrary angle coordinate transformation, as well as for the impacts of scale factor and rotation angle on coordinate transformation precision by experiment. It is proven that the multivariate total least square model can achieve high-precision coordinate transformation of arbitrary scale factor and rotation angle.
Keywords:coordinate transformation  least square  least square collocation  Bursa model  multivariate total least square  
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