沉降监测数据插值方法选取与精度分析

Selection and Precision Analysis for Interpolation Method of Observing Settlement Observation Data

沉降观测数据具有监测点少、精度高的特点,不同的插值方法对其插值精度与可视化分析具有不同程度影响。本文通过对反距离加权插值、克里金插值、谢别德插值、线性插值三角网法和局部多项式法5种常规插值方法进行插值实验与精度分析,发现在三维分析方面,反距离加权法的可视化效果最好;在等沉降曲线绘制方面,谢别德法、局部多项式法和克里金法具有较好的成图效果;在插值精度方面,5种方法差别不大。综合考虑沉降量插值精度与可视化分析,发现克里金法是沉降数据插值的最佳方法,其他4种方法在可视化表达方面均存在一定缺陷。

The settlement observation data has the characteristics of less monitoring points and high precision,and different interpolation methods have different effects on the interpolation accuracy and visual analysis. By the experiment of interpolation and precision analysis for the five conventional interpolation involving inverse distance weighted interpolation,Kriging interpolation,Shepard interpolation,triangulation with linear interpolation as well as local polynomial method,we found that inverse distance weighted method has the best visual effects in three-dimensional analysis,Shepard method,local polynomial method and Kriging method has a good performance in equal settlement map drawing,there is little difference between the five methods in interpolation accuracy. Considering settlement interpolation accuracy and visualization,it is true that the Kriging method is the best method of settlement data interpolation,the other four methods have some defects in visualization.