一种适用于大角度的三维坐标转换参数求解算法

A New Algorithm for Solution of Transformation Parameters of Big Rotation Angle's 3D Coordinate

针对传统的三维基准转换模型局限于求取小角度的三维基准间转换参数的缺点,提出了一种适用于大角度的三维基准转换参数求解模型。利用实测数据和模拟数据对此模型进行了验证,结果表明,所提出的算法适用于任意角度的三维基准转换,既可利用传统的最小二乘方法估计坐标转换参数,又可利用整体最小二乘方法进行参数求解,可靠性高,解算速度快。

The Bursa-Wolf model,molodensky model etc.are widely used in geodesy,photogrammetry and other subjects to solve the transformation parameters between three-dimension coordinates.These models are limited to the coordinate transformation of small rotation angle.But,in practice,a great many coordinate transformation of big rotation angle are needed to be determined.Traditional 3D coordinate transformation model is improved that can solve any rotation angle＇s 3D coordinate transformation.The examples indicate that the proposed algorithm is feasible and can determine the transformation parameters quickly.