测绘学报

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应用改进欧拉算法解算磁性目标空间位置参数

卞光浪1,翟国君2,刘雁春3,黄谟涛4,欧阳永忠2   

  1. 1. 海军海洋测绘研究所;海军大连舰艇学院
    2. 海军海洋测绘研究所
    3. 海军大连舰艇学院海洋测绘系
    4. 天津海洋测绘研究所
  • 收稿日期:2010-04-19 修回日期:2010-08-27 出版日期:2011-06-25 发布日期:2011-06-25
  • 通讯作者: 卞光浪

Computation of spatial position parameters of magnetic object with improved Euler approach

  • Received:2010-04-19 Revised:2010-08-27 Online:2011-06-25 Published:2011-06-25

摘要: 指出了目前磁性目标探测中常规欧拉方法存在的局限性,提出在欧拉窗口内视地磁场和其它目标干扰异常联合影响为线性变化,将构造指数作为动态变化参数代入欧拉方程一并求解,并利用多元线性回归方法解决了欧拉方程非线性问题。在质量控制方案中,根据构造指数和目标深度变化规律,给出了离散欧拉解滤波措施;采用层次聚类分析方法对滤波后欧拉解进行分类,其思路为:基于距离判断准则,对欧拉解进行了初次分类,用 检验法判定各簇是否来源于同一总体,以修正初次分类结果,经过淘汰含欧拉解数目较少的簇后,剩余各簇位置参数的重心则对应磁性目标空间位置。通过球体与长方体仿真试验以及实测数据验证表明:给定相关阈值参数后,实现了欧拉方法全自动反演,磁性目标空间位置参数具有很高解算精度,噪声对目标平面位置解算结果基本上没有影响,但对深度解算结果存在一定影响。

Abstract: Considering the deficiency of conventional Euler approach in magnetic detection at present, the combining influence of geomagnetism and adjacent bodies’ anomaly is assumed as linear variation. The non-linear problem of Euler equation has been figured out utilizing multivariate linear regression with unprescribed structural index. In quality control scheme, filtering technique of Euler solutions is presented based on the relationship between structural index and object depth. Adopting the distance acceptance criteria, the dispersed Euler solutions are isolated to different clusters firstly. The modifying stage combines the already focused solutions by the previous clustering in more general clusters and makes a fusion of the clusters whose horizontal centers of gravity have no remarkable difference using t-Student distribution test. Since the clusters with small number of points are statistically not significant, we apply a filter method that eliminates the clusters with less than a given number of points. Then, the mean values are corresponding to the position of magnetic objects. The effectiveness of the suggested techniques has been illustrated by simulated sphere/ cuboid examples and real magnetic data from a collection of environmental ferro-metallic objects. The conclusion shows that Euler approach, provided by relative threshold parameters, becomes a fully automatic interpretation approach, and the calculated horizontal position together with depth has very high precision. However, the noise influence to depth’s result is more serious than it to horizontal position.