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Volumn 6, Issue 3, 1996, Pages 263-278

A linear-time randomized algorithm for the bounded voronoi diagram of a simple polygon

Author keywords

Bounded voronoi diagram; Generalized delaunay triangulation; Histogram decomposition; Randomized algorithm

Indexed keywords


EID: 0030506679     PISSN: 02181959     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218195996000198     Document Type: Article
Times cited : (15)

References (19)
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    • (1989) Discrete & Comput. Geometry , vol.4-6 , pp. 591-604
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  • 2
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    • Voronoi Diagrams - A Survey of a Fundamental Geometric Data Structure
    • F. Aurenhammer, "Voronoi Diagrams - A Survey of a Fundamental Geometric Data Structure", ACM Computing Surveys 23, 1991 pp. 345-405
    • (1991) ACM Computing Surveys , vol.23 , pp. 345-405
    • Aurenhammer, F.1
  • 3
    • 51249179364 scopus 로고
    • Triangulating a Simple Polygon in Linear Time
    • B. Chazelle, "Triangulating a Simple Polygon in Linear Time," Discrete and Computational Geometry 6 (1991) pp. 485-524.
    • (1991) Discrete and Computational Geometry , vol.6 , pp. 485-524
    • Chazelle, B.1
  • 6
    • 84936672138 scopus 로고    scopus 로고
    • On Computing the Voronoi Diagram for Restricted Planar Figures
    • Springer Verlag
    • H. Djidjev and A. Lingas, "On Computing the Voronoi Diagram for Restricted Planar Figures," Proc. WADS'91, LNCS 519 pp. 54-64, Springer Verlag.
    • Proc. WADS'91, LNCS , vol.519 , pp. 54-64
    • Djidjev, H.1    Lingas, A.2
  • 7
    • 0026986987 scopus 로고    scopus 로고
    • Manhattonian Proximity in a Simple Polygon
    • Berlin
    • R. Klein and A. Lingas, "Manhattonian Proximity in a Simple Polygon," Proc. 8th ACM Symposium on Computational Geometry (Berlin, 1992) pp. 312-319. To appear in Int. J. Comput. Geom. & Applications.
    • (1992) Proc. 8th ACM Symposium on Computational Geometry , pp. 312-319
    • Klein, R.1    Lingas, A.2
  • 8
    • 0026986987 scopus 로고    scopus 로고
    • R. Klein and A. Lingas, "Manhattonian Proximity in a Simple Polygon," Proc. 8th ACM Symposium on Computational Geometry (Berlin, 1992) pp. 312-319. To appear in Int. J. Comput. Geom. & Applications.
    • Int. J. Comput. Geom. & Applications
  • 9
    • 3142540557 scopus 로고
    • A Note on Generalizations of Chew's Algorithm for the Voronoi Diagram of a Convex Polygon
    • R. Klein and ClingsA. Lingas, "A Note on Generalizations of Chew's Algorithm for the Voronoi Diagram of a Convex Polygon," Proc. 5CCCG (1993) pp. 370-374.
    • (1993) Proc. 5CCCG , pp. 370-374
    • Klein, R.1    Lingas, C.2
  • 10
    • 0000508273 scopus 로고
    • Generalized Delaunay Triangulations for Planar Graphs
    • D.T. Lee and A. Lin, "Generalized Delaunay Triangulations for Planar Graphs," Discrete and Computational Geometry 1 (1986) pp. 201-217.
    • (1986) Discrete and Computational Geometry , vol.1 , pp. 201-217
    • Lee, D.T.1    Lin, A.2
  • 12
    • 0043272288 scopus 로고    scopus 로고
    • Fast Algorithms for Greedy Triangulation
    • C. Levcopoulos and A. Lingas, "Fast Algorithms for Greedy Triangulation," BIT 32:2 pp. 280-296; preliminary version in Proc. SWAT'90, LNCS 447, Springer Verlag.
    • BIT , vol.32 , Issue.2 , pp. 280-296
    • Levcopoulos, C.1    Lingas, A.2
  • 13
    • 0043272288 scopus 로고    scopus 로고
    • LNCS 447, Springer Verlag
    • C. Levcopoulos and A. Lingas, "Fast Algorithms for Greedy Triangulation," BIT 32:2 pp. 280-296; preliminary version in Proc. SWAT'90, LNCS 447, Springer Verlag.
    • Proc. SWAT'90
  • 14
    • 0024738433 scopus 로고
    • Voronoi Diagrams with Barriers and the Shortest Diagonal Problem
    • A. Lingas, "Voronoi Diagrams with Barriers and the Shortest Diagonal Problem," Information Processing Letters 32 (1989) pp. 191-198.
    • (1989) Information Processing Letters , vol.32 , pp. 191-198
    • Lingas, A.1
  • 18
    • 0026282692 scopus 로고
    • A simple and fast incremental and randomized algorithms for computing trapezoidal decompositions and for triangulating polygons
    • R. Seidel, "A simple and fast incremental and randomized algorithms for computing trapezoidal decompositions and for triangulating polygons," Computational Geometry: Theory and Applications, vol. 1, no. 1 (1991).
    • (1991) Computational Geometry: Theory and Applications , vol.1 , Issue.1
    • Seidel, R.1
  • 19
    • 84976861822 scopus 로고
    • An Optimal Algorithm for Constructing the Delaunay Triangulation of a Set of Line Segments
    • C. Wang and L. Schubert, vol"An Optimal Algorithm for Constructing the Delaunay Triangulation of a Set of Line Segments," Proc. 3rd ACM Symposium on Computational Geometry, Waterloo pp. 223-232, 1987.
    • (1987) Proc. 3rd ACM Symposium on Computational Geometry, Waterloo , pp. 223-232
    • Wang, C.1    Schubert, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.