凸多边形目标毁伤面积的一种解析计算方法  

Analytic Calculation of Damage Area of Convex Polygon Targets

作　　者：李芯瑶 陈春梅 LI Xinyao;CHEN Chunmei(Rocket Force University of Engineering,Xi’an 710025,Shaanxi)

机构地区：[1]火箭军工程大学,陕西西安710025

出　　处：《火箭军工程大学学报》2024年第5期9-16,共8页Journal of Rocket Force University of Engineering

摘　　要：为了降低凸多边形目标毁伤面积计算的难度,提高计算速度,通过对毁伤面积的几何规律进行分析,利用集合分割与递归思想,将毁伤面积计算转化为凸多边形和毁伤圆相交面积的计算问题。利用解析方法对凸多边形目标进行分割,将其按一定分割规则分为三角形分割域和扇形分割域。通过讨论毁伤圆圆心相对位置、多边形顶点情况、圆与目标相交情况,分析凸多边形与毁伤圆的多种复杂相交情况,得出多边形毁伤面积的分割规则,建立毁伤面积的计算模型。最后,设计2个算例对模型和算法进行了验证。结果表明:当凸多边形边数大于20时,设计的解析算法不仅节省了计算时间,而且比网格法提高了2%的计算精度。To reduce the computational complexity and improve the computation speed of damage area calculation of convex polygon targets,the paper converted the damage area calcula-tion into a computation about the intersection area of the convex polygon and the damage circle.The method was based on the analysis of the geometric law of the damage area as well as ideas of segmentation and recursion.By applying analytical method,the polygonal targets were firstly divided into triangular and sector areas according to certain segmentation rules.Then,the inter-section of the polygon and the damage circle was discussed by analyzing the relative position of the center of the damage circle,vertexes of the polygon and the intersection of the circle and the target.Accordingly,the segmentation rule was obtained and the damage area calculation model was established.Finally,the proposed model and algorithm were verified by two samples.Exper-imental results showed that when the number of sides of the polygon exceeds 20,the proposed method not only saves computing time,but also improves the calculation efficiency by 2%com-pared to the grid method.

关 键 词：凸多边形目标 毁伤面积 解析法 毁伤圆 

分 类 号：TM344.1[电气工程—电机]