三种空间插值算法在地磁匹配基准图构建中的应用
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摘要
针对地磁匹配导航对构建高密度、高精度的磁基准图的需求,结合目前应用较为广泛、效果较好的3种空间插值方法,用某地区的实测地磁数据进行了插值效果分析。对于插值效果的评价引入了交叉验证法,并借助误差最大值、最小值、平均误差、标准差和运算时间等6项评价指标对3种插值算法进行了综合评价。通过研究说明了3种插值算法各自的特点和应用范围。
According to geomagnetic matching navigation demand for high-density and high-precision geomagnetic reference map,and in combination with three better and widely used spatial interpolation methods,this paper,with a measured geomagnetic data,analyzed the interpolation effect.It also introduced cross-validation method to evaluate the interpolation effect,and with the help of error maximum,minimum,average error,standard deviation,and computation time six factors it evaluated the three interpolation algorithms,by studying description of the features and applications of each of the three interpolation algorithms in geomagnetic reference map building.
According to geomagnetic matching navigation demand for high-density and high-precision geomagnetic reference map,and in combination with three better and widely used spatial interpolation methods,this paper,with a measured geomagnetic data,analyzed the interpolation effect.It also introduced cross-validation method to evaluate the interpolation effect,and with the help of error maximum,minimum,average error,standard deviation,and computation time six factors it evaluated the three interpolation algorithms,by studying description of the features and applications of each of the three interpolation algorithms in geomagnetic reference map building.
引文
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[11]张晓明,赵剡.基于克里金插值的局部地磁图的构建[J].电子测量技术,2009,32(4):122-125.
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[13]吕云霄,吴美平,胡小平.基于支持向量机的地磁辅助导航匹配区域选取准则[J].兵工自动化,2011(1):49-52.
[14]王仕成,孙大为,张金生,等.基于SLAM的地磁导航定位[J].火力与指挥控制,2010(12):34-37.
[2]朱会义,刘述林,贾绍凤.自然地理要素空间插值的几个问题[J].地理研究,2004,23(4):425-432.
[3]黄学功,房建成,刘刚,等.地磁图制备方法及其有效性评估[J].北京航空航天大学学报,2009,35(7):891-894.
[4]张杨,康崇,吕金库,等.区域地磁测量实验及水下载体对周围磁场的影响分析[J].中国惯性技术学报,2011,19(2):205-208.
[5]靳国栋,刘衍聪,牛文杰.距离加权反比插值法和克里金插值法的比较[J].长春工业大学学报,2003,24(3):53-57.
[6]Rice H,Kelmenson S.Mendelsohn L.Geophysical naviga-tion technologies and applications[C]//Position Locationand Navigation Symposium.April 26-29,2004:618-624.
[7]王哲,王仕成,张金生,等.一种地磁匹配制导基准图制备方法及其有效性评价[J].系统工程与电子技术,2008,30(11):2207-2211.
[8]Liven O,Wright G B.Fast multilevel evaluation of smoothradial basis function expansions[J].Electronic Transactionson Numerical Analysis,2006,23(1):263-287.
[9]晏登洋,任建新,宋永军.惯性/地磁组合导航技术研究[J].机械与电子,2007,25(1):19-22.
[10]杜智敏.抽样调查与SPSS应用[M].北京:电子工业出版社,2010,167-221.
[11]张晓明,赵剡.基于克里金插值的局部地磁图的构建[J].电子测量技术,2009,32(4):122-125.
[12]Orus R,Hernandez-Pajares M,Juan J M,et al.Improvementof global ionospheric VTEC maps by using kriging interpola-tion technique[J].Journal of Atmospheric and Solar-Terres-trial Physics,2005,67(1):1598-1609.
[13]吕云霄,吴美平,胡小平.基于支持向量机的地磁辅助导航匹配区域选取准则[J].兵工自动化,2011(1):49-52.
[14]王仕成,孙大为,张金生,等.基于SLAM的地磁导航定位[J].火力与指挥控制,2010(12):34-37.