空间插值算法在构建海洋地磁图中的应用

The application of spatial interpolation algorithm in marine geomagnetic mapping

地磁基准图作为地磁匹配导航的关键技术之一,其优劣程度对匹配导航定位的精度和稳定性有着很大影响。近年来,众多学者开展了围绕地磁数据插值构建地磁图的研究,但以往对于构建地磁图的研究主要集中在陆测数据和小范围实验数据上。针对这种情况,本文以海洋实测地磁数据为基础,首先分析了反距离加权法、改进的谢別得法、克里金法、径向基函数法、自然邻点法和局部多项式法的原理及特点;然后建立图形直观评价和交叉验证指标定量评价相结合的算法评价体系;最后利用计算机仿真验证了6种主要空间数据插值算法在利用海洋地磁数据插值构建地磁图中的效果。经过对仿真结果的分析,得出了最优插值算法结论。

Geomagnetic reference map as one of the key technologies of geomagnetic matching navigation,it’s great impact the positioning accuracy and stability of the geomagnetic matching navigation.In recent years,many scholars have carried out research around the geomagnetic data interpolation to build geomagnetic charts.However,in past papers,the construction of the geomagnetic charts research mostly focused on the land measured data and the small-scale experimental data.Therefore,in this paper,take advantage of the ocean measured geomagnetic data.First of all,analysis the principles and characteristics of inverse distance power method（IDP）,modified sharped method（MS）,kriging method,radial basis function method（RBF）,natural neighbor method（NN） and local polynomial method（LP）.Scondly,established the algorithm evaluation system which combined graphic visual evaluation and quantitative evaluation of crossvalidation indicators.Finally,make use of computer programs,simulating the application of six major spatial data interpolation algorithms in marine geomagnetic data interpolation to build geomagnetic reference map.After the analysis of simulation results,and obtained optimal interpolation algorithm conclusions.