移动曲面拟合模型的精度优化研究

Research on Precision Optimization of Moving Surface Fitting Model

针对传统高程拟合方法未考虑待求点的分布特征和方向性特征,导致拟合效果不理想的问题,提出了一种与加权模型结合的移动曲面拟合研究方法。通过已知GPS点建立高程模型,拟合获取待求点的高程异常值以获取正常高。为了得到高精度的高程异常,将Shepard加权模型引入高程模型中进行分区定权,可得到较高的拟合精度,利用Matlab仿真软件对传统GPS高程拟合方法和改进后的模型进行拟合精度对比分析。实验结果表明:改进后的复合模型外推拟合精度较高,研究结果可对工程测量具有一定参考价值。

Aiming at the problem that the traditional elevation fiting method does not consider the distribution characteristics and directional characteristics of the points to be found,which leads to unsatisfactory fitting results,a moving surface fitting research method combined with a weighted model is proposed.The elevation model was established through the known GPS points,and the elevation abnormal value of the point to be obtained was obtained by fitting to obtain the normal height.In order to obtain high-precision elevation anomalies,the Shepard weighted model was introduced into the elevation model for partition weighting,and higher ftting accuracy can be obtained.Matlab simulation software was used to compare and analyze the fiting accuracy of the traditional GPS elevation fitting method and the improved model.The experimental results show that the improved composite model has a higher fitting accuracy by extrapolation,and the research results can have a certain reference value for engineering measurement.