顾及系统误差的坐标转换方法研究

针对Bursa模型在坐标系转换时没有顾及局部变形和累积误差的问题，通过对坐标转换误差进行分析，本文提出将由此产生的系统误差看作非参数信号的半参数估计，采用半参数模型对某一区域坐标进行解算，并对检核点非参数分量进行推估，与Bursa模型进行比较，结果表明半参数模型能够有效地消除系统误差。并探讨了不同确定平滑因子α的方法对坐标转换精度影响，计算结果表明，在正则矩阵R相同情况下，不同平滑因子确定方法得到的坐标转换精度有所不同，但均优于Bursa模型转换精度。

Study on the Method of Coordinate Transformation Considering Systematic Error

As Bursa model does not consider the local deformation and accumulation error in the coordinate system conversion, by ana- lyzing on the coordinate conversion errors, this paper applied the semi - parametric model to achieve measured coordinates in a region to transform by considering systematic errors as semi - parametric signals, estimating the nonparametric component of the check points, and comparison with Bursa model was carried out finally. The results show that the semi - parametric model could effectively eliminate systematic errors. And also to explore the effects of different methods of determining smoothing parameter on the results, the results show that under the same circumstances of regular matrix, different methods of determining smoothing parameter, the accuracy of coordinate transformation is different, but is improved with the models than with Bursa model.