多项式曲面拟合法在GPS高程拟合精度分析中的应用研究

Application research of polynomial surface fitting method in GPS height fitting accuracy analysis

为了对GPS高程拟合精度进行分析,采用多项式曲面拟合法,分析了二次曲面拟合方法、三次曲面拟合方法以及在求解待定点的正常高的计算过程,研究了测量精度,主要包括外符合精度、内符合精度和模型精度,然后,采用Matlab软件,研究了地质高程拟合流程,通过实例验证了多项式曲面拟合法在GPS高程拟合精度分析中的应用。研究得出,地质高程的拟合精度与拟合地区的地形,起算点的拟合方法、数量,起算点的空间分布有着密切的关系;多项式曲面拟合模型尽量选择已知点分布均匀且位于测区周边。该方法具有较好的使用性、有效性和实用性。

In order to analyze the GPS height fitting accuracy,polynomial surface fitting method was used to analyze the quadratic surface fitting method,the cubic surface fitting method and the calculation process of solving the normal height of the unfixed point.The measurement accuracy was mainly included.The accuracy of the coincidence,the accuracy of the internal coincidence and the accuracy of the model were then used to study the geological elevation fitting process using Matlab software.An example verifies the application of the polynomial surface fitting method in the GPS elevation fitting accuracy analysis.The study showed that the fitting accuracy of geological elevation was closely related to the topography of the fitting area,the fitting method and number of starting points,and the spatial distribution of starting points;the polynomial surface fitting model should try to choose known points that were evenly distributed and located around the measurement area.This method had good usability,effectiveness and practicability.