基于Kriging下的移动曲面拟合法研究

Moving surface fitting models based on Kriging method

GPS水准在工程实践中仍然以数学拟合方法为主,本文首先简述了移动法曲面模型和Kriging(克里格)统计模型的原理,然后将Kriging的权引入到移动曲面下,使2者结合起来形成综合模型,综合模型借助Kriging方法定权,具有加权型模型的总体离散性特点,又具有曲面拟合模型的连续性优势。该模型克服了单一统计模型和函数模型的不足,理论上更为完善。最后通过某地区GPS水准网数据进行实验验证,结果证明其外符合精度比常规函数模型有所提高,不足之处是计算量大。

Mathematic function fitting is the main method in engineering practice of GPS leveling.First,the principles of moving surface model and Kriging statistics model were presented in the paper,then the weight of moving surface model was replaced by the weight of Kriging and made them synthesized.the model synthesized had the advantage of surface model and statistics model so avoiding the shortage of single model,performing more perfectly in theory.The GPS leveling experiment in certain area showed that the model synthesized could improve elevation precision in engineering practice.