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平面点集二阶Voronoi图的性质及算法 被引量:5

Property and Algorithm of the Two-Order Voronoi Diagram of a Planar Point Set
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摘要 本文叙述作者新近发现的平面点集二阶Voronoi图的一些性质 ,并依据这些性质设计了构造二阶Voronoi图的一种算法 ,算法的时间复杂性为O(nlogn) ,优于J DBoissonnat和MYvinec所著AlgorithmicGeometry一书中提出的算法。 This paper describes some properties of the two order Voronoi diagram of a planar point set recently discovered by the authors, and designs an algorithm for constructing two order Voronoi diagrams according to these properties. The time complexity of this algorithm is O( n log n ). It is better than the algorithm presented in Algorithmic Geometry by J D Boissonnat and M Yvinec.
出处 《计算机工程与科学》 CSCD 2002年第5期1-3,共3页 Computer Engineering & Science
关键词 平面点集 二阶Voronoi图 算法 时间复杂性 two order Voronoi diagram algorithm time complexity
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参考文献2

  • 1H Edelsbrunner, R Seidel. Voronoi Diagrams and Arrangements[J]. Disc and Comp Geom, 1986,8(1):25-44.
  • 2J-D Boissonnat, M Yvinec. Algorithmic Geometry[M]. Cambridge University Press, 1998.

同被引文献33

  • 1Hyeong In Choi.New Algorithm for Medial Axis Transform of Plane Domain[J].GRAPHICAL MODELS AND IMAGE PROCESSING,1997;59(6) :463~483
  • 2M Ramanathan. Constructing medial axis transform of planar domains with curved boundaries[J].Computer-Aided Design,2002;35:619~632
  • 3Rajesh Ramamurthy. Voronoi diagram and medial axis algorithm for domains with curved boundaries Ⅰ:Theoretical foundations[J].Journal of Computational and Applied Mathematics,1999;102:119~141
  • 4Martin Held.Voronoi diagrams and offset curves of curvilinear polygons[J].Computer-Aided Design, 1998;30(4) :287~300
  • 5Rajesh Ramamurthy. Voronoi diagram and medial axis algorithm for domains with curved boundaries Ⅱ:Detailed algorithm description[J].Journal of Computational and Applied Mathematics,1999;102:253~277
  • 6Rida T Frouki.Degenerate point/curve and curve/curve bisectors arising in medial axis computations for planar domains with curved boundaries[J].Computer-Aided Geometric Design,1998;15:615~635
  • 7D T Lee. Medial axis tramsformation of a planar shape[J].IEEE Transactions on Pattern Analysis and Machine Intelligence, 1982; 4 (4):363~369
  • 8Christopher Holleman. Path Planning with Medial Axis Hints. Masters of Science,RICE UNIVERSITY,UMI Number:1405674,2000-09
  • 9Tamal K Dey. Approximate medial axis as a Voronoi subcomplex[J].Computer-Aided Design, 2004 ;36:195~202
  • 10杨工明.[D].北京航空航天大学,.

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