应用改进欧拉算法解算磁性目标空间位置参数  

Computation of Spatial Position Parameters of Magnetic Object with Improved Euler Approach

作　　者：卞光浪[1,2] 翟国君[2] 刘雁春[1] 黄谟涛[2] 欧阳永忠[2] 

机构地区：[1]大连舰艇学院海洋测绘科学与工程系,辽宁大连116018 [2]海洋测绘研究所,天津300061

出　　处：《测绘学报》2011年第3期386-392,共7页Acta Geodaetica et Cartographica Sinica

基　　金：国家自然科学基金(40671161);国家863计划(2009AA121405-05)

摘　　要：指出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他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。通过实测数据验证表明:给定相关阈值参数后,实现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。Considering the deficiency of conventional Euler approach in magnetic detection at present,the combining influence of geomagnetism and adjacent bodies＇ anomaly was assumed as linear variation.The non-linear problem of Euler equation had been figured out utilizing multivariate linear regression with unprescribed structural index.In quality control scheme,filtering technique of Euler solutions was presented based on the relationship between structural index and object depth.Adopting hierarchical clustering method,the dispersed Euler solutions were isolated to different clusters.The effectiveness of the suggested techniques had been illustrated by 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.

关 键 词：磁性目标探测 磁性目标空间位置 欧拉反褶积法 线性回归 层次聚类分析 

分 类 号：P229[天文地球—大地测量学与测量工程]