基于分段式共形映射的坐标转换法

Coordinates Transformation Based on Piecewise Conformal Mapping

在处理坐标转换范围大、测量数据周期较多、各期测量数据精度不一致或者各期测量点不同的情况时,传统的坐标转换方法(例如,布尔沙模型)会丢失一些有用的信息。该文通过将分段共形映射引入到坐标转换的研究中,提出了一种将复平面归化到凸多边形上的坐标转换法。最后,通过实例验证了该算法的可靠性与实用性。

The traditional coordinate transformation method （for example, Bursa model ） would lose some useful information in dealing with complex situation, such as the large range need to coordinate transformation, the accuracy inconsistence of different cycle measurement data and different measurement points. Aiming at the above reasons, the piecewise eonformal mapping is introduced to the study of coor- dinate translation. A new coordinate transformation method is proposed that naturalizing the partition on complex plane to the convex polygon. Finally, the reliability and practicality of this algorithm are verified by the acatual example.