基于重心基准的平面坐标转换研究

摘要

The coordinate transformation between different coordinate systems includes four parameters: two translations, one rotation, and one scale paramete. When there is ill-condition transformation matrix, the common points' little errors may cause big fluctuation of parameters' results. Considering the unity between coordinate transformation model and centre of gravity datum of free net adjustment, the two translation parameters may be elimineted under auxiliary condition. This method is validated with an example.%不同平面直角坐标系的转换包括平移、旋转和尺度因子4个参数,当转换系数矩阵严重病态时,参数解不可靠.考虑到自由网平差中的重心基准条件与转换模型的相关性,通过附加重心基准条件消去两个平移参数来解决转换矩阵严重病态的问题,从而求出正确的坐标转换参数.用实例对该方法进行了验证.