改进平行坐标系框架下的多维电磁态势展现

Visualizing multi-dimensional electromagnetic situation in advanced parallel coordinates

针对传统三维空间显示框架难以对电磁态势中多个维度信息进行有效可视化展现的问题,提出了一种基于改进型平行坐标系框架的多维电磁态势展现方法.对传统的平行坐标系方法进行了改进,提出了数据项拟合、定量映射、自适应时间滑窗、空间精确划分4个部分的算法理论模型.其中基于贝塞尔曲线的数据拟合用以解决各维度间数据项连接时的数据遮蔽混淆以及电磁态势各个维度之间信息关联不清晰的问题.为了将电磁态势的多个维度的信息定量映射到平行坐标系中,提出并设计了电磁态势基本维度的量化策略方法模型;提出了自适应步长的时间滑窗机制,能够有效调整电磁态势展现时间间隔,使其能够充分适应电磁环境的动态变化;设计了针对空间区域划分精度的目标函数,基于此定量分析了空间离散化的准确度和时间开销之间的关系.实验结果表明改进后的平行坐标系方法能够快速、有效地展现复杂的多维电磁态势信息,提出的贝塞尔曲线绘制能够优化显示总体电磁态势中的重要维度的信息,以更清晰、更精确、更便于理解的方式展现复杂电磁态势数据的分布特征和关联关系.

As it′s hard to visualize the electromagnetic situation（EMS）with complicated multi-dimensional information by using the traditional approach of modeling the electromagnetic elements in 3D space,then a visualizing framework for multi-dimensional EMS representation was built by advanced parallel coordinates method（APCM）.This framework mainly includes four algorithmic modules of a data fitting,aquantitative mapping,an adaptive time-sliding window and a region division.Respectively,the data fitting model mitigates the degree of line overlapping between the correlated adjacent data dimensions by Bezier curve.The quantitative mapping model can map the multi-dimensional information in different sizes and types into the coordinate system.Then the adaptive time-sliding window model can adjust time interval of situation representation dynamically in order to make it adaptable to the change in an electromagnetic environment.In the region division model,an objective function was designed to analyze the trade-off between the computation time cost and the accuracy of region division.The experiments show that the APCM is an effective approach to display multi-dimensional EMS information quickly and precisely.The Bezier fitting between two adjacent data dimension can optimize and highlight the information and relationships of EMS in a well-understood way,which makes it possible to demonstrate the features of distribution and correlation of data in complicated EMS more clearly and more accurately.