Voronoi Diagram for Intersecting Convex Polygons in the Plane

被引：0
|
作者：
Lu J. [1 ]
Xiong P. [1 ]
Min W. [2 ]
Liao Y. [1 ]
机构：
[1] School of Information Engineering, Nanchang University, Nanchang
[2] School of Software, Nanchang University, Nanchang
来源：
Jisuanji Fuzhu Sheji Yu Tuxingxue Xuebao/Journal of Computer-Aided Design and Computer Graphics | 2019年 / 31卷 / 09期
关键词：
Intersecting polygons; Regionalization of Voronoi edges; Vector-based algorithm; Voronoi diagram;
D O I：
10.3724/SP.J.1089.2019.17622
中图分类号：
学科分类号：
摘要：
The traditional polygonal Voronoi diagram does not allow intersections among polygons and henceforth is hard to be applied to the fields of computer vision and ecology where polygons may intersect each other. In order to solve the problem of the nearest neighbor partitions under situations with polygon intersection, a novel Voronoi diagram for intersecting convex polygons is proposed. Firstly, the Voronoi diagram for intersecting convex polygons is defined. Then the unique regionalization feature of Voronoi edges is described, followed by the proof of the necessary and sufficient condition for its occurrence. Moreover, the relation between intersecting polygons and disjoint polygons is demonstrated. Finally, the generation algorithm of the polygonal Voronoi diagram is proposed and implemented. Experimental results show that the algorithm breaks through the constraint of having no intersecting polygons and effectively solves the problem of intersection in the polygonal Voronoi diagram, which provides the theoretic foundation for practical applications in the fields of computer vision and ecology. © 2019, Beijing China Science Journal Publishing Co. Ltd. All right reserved.
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页码：1609 / 1616
页数：7
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