基于改进的布尔莎-沃尔夫模型的任意旋转角坐标转换方法的研究

Research on an Improved Bursa-Wolf Model for 3D Coordinate Transformation

空间直角坐标转换模型在测量中应用广泛,本文针对任意旋转角的空间坐标转换问题,提出了一种基于布尔莎-沃尔夫模型的改进算法。该算法通过采用罗德里格矩阵对坐标转换参数中的旋转矩阵进行改进,得到一种不受坐标转换旋转角大小限制的新算法。同时应用稳健估计原理,有效避免了粗差对最后结果的影响。最后引用已发表文献中的一个实例,证明了该算法的正确性。

Space coordinate transformation model is widely used in geodesy,photogrammetry, engineering survey and other subjects. In order to solve the problem of large angles coordinate transformation,this paper proposes an improved Bursa-Wolf algorithm. This algorithm improves the rotation matrix by introducing the Lodrigues matrix algorithm, so that trans-lates the large angles problems into small angels coordinate transformation. At the same time, adopt the robust estimation to eliminate the influence of the gross errors. At last,this paper cites an example from a published literature to prove the correctness of the algorithm.