基于选权迭代法的空间平面拟合

Spatial plane fitting based on the iterated adjustment with weight function

在拟合测量中,空间平面参数可以通过观测平面上若干点坐标后,经过平差计算得到。由于测量中往往会混有粗差影响了参数估计的准确性,因此提出用稳健估计理论求解拟合平面参数。首先讨论了拟合平面的平差模型,提出了用点到空间平面的距离建立权。其次依据选权迭代法实现拟合平面参数求解,并结合生产实践算例验证了该法的有效性,为测绘工作者解决问题提供了有益的参考。

In the fitting measurement,the spatial plane parameters are usually calculated by adjusting the coordinates of several points on the plane. In case of gross errors contained in the coordinates,the accuracy of the parameter estimation is affected,therefore it is necessary to solve the fitting plane parameters by using robust estimation is proposed. First,the adjustment plane model is discussed. Second,the weight function is established by the distance from a point to the plane. Third the parameters are estimated by the iterated adjustment with weight function. Finally,the validity of this method is verified with examples of production practice,which provides a useful reference for the surveyors to solve this problem.