一种基于离散Fréchet距离的磁场相似性度量方法

摘要

With the development of the simulation technology of the magnetic field,there are several kinds of magnetic sources that can simulate the target magnetic field with a high degree of accuracy,but it's difficult to measure its similarity in traditional ways.To solve this problem,a new similarity measurement eigenvalue of magnetic field based on discrete Fréchet distance is proposed in this paper.To get the eigenvalue,the evaluation index of the distance between discrete points in Fréchet method has improved according to the characteristic of magnetic field curve,after that,a parameter which can measure the degree of similarity of the horizontal coordinate and eliminate the different speed of the target is proposed,then the similarity measurement eigenvalue is obtained,at last,its feasibility is verified by examples.Compared with the traditional methods,this eigenvalue can be used to evaluate the similarity of the closer magnetic field curves.%随着磁场模拟技术的发展,多种磁源能够对目标磁场进行精细化的模拟,传统的磁场判定方法难以对其相似情况进行度量.针对此问题,提出了一种基于离散Fréchet距离的磁场相似性度量特征值.根据磁场曲线的特点,首先改进了Fréchet方法中离散点间的距离评价指标,并提出了能够度量横坐标相似情况且消除目标速度不同的影响的参数,然后得到磁场相似性度量特征值,最后通过实例验证了其可行性.相对于传统方法,该特征值能够对更加相近的磁场曲线的相似情况进行评价.