Volume 9 Number 3 (Mar. 2014)
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JSW 2014 Vol.9(3): 777-784 ISSN: 1796-217X
doi: 10.4304/jsw.9.3.777-784

Voronoi Diagram Generation Algorithm based on Delaunay Triangulation

Liping Sun1, Yonglong Luo2, Yalei Yu2, Xintao Ding2
1College of National Territorial Resources and Tourism, Anhui Normal University, Wuhu, China
2Engineering Technology Research Center of Network and Information Security, Anhui Normal University, Wuhu, China


Abstract—Voronoi diagram and its geometric dual, the Delaunay triangulation, both are practical geometric constructions which have been applied extensively in spatial analysis. Considering the low efficiency of the algorithm of indirectly building Voronoi diagram, this paper proposes an improved Voronoi diagram generation algorithm based on Delaunay triangulation of randomly distributed points in the Euclidean plane. In the process of building Delaunay triangulation, correlative edges of points and correlative triangles of edges information is dynamically updated. Theoretical analysis and experimental results show that the proposed algorithm is an efficient method of generating Voronoi diagram.

Index Terms—computational geometry, planar point set, voronoi diagrams, delaunay triangulations

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Cite: Liping Sun, Yonglong Luo, Yalei Yu, Xintao Ding, "Voronoi Diagram Generation Algorithm based on Delaunay Triangulation," Journal of Software vol. 9, no. 3, pp. 777-784, 2014.

General Information

ISSN: 1796-217X (Online)
Frequency:  Bimonthly (Since 2020)
Editor-in-Chief: Prof. Antanas Verikas
Executive Editor: Ms. Yoyo Y. Zhou
Abstracting/ Indexing: DBLP, EBSCO, Google Scholar, ProQuest, INSPEC(IET), ULRICH's Periodicals Directory, WorldCat, etc
E-mail: jsw@iap.org
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