메뉴 건너뛰기




Volumn 8, Issue 3, 1998, Pages 365-379

Voronoi diagrams of moving points

Author keywords

Davenport schinzel sequences; Delaunay diagrams; Dynamic computational geometry; Kinematic data structures; Voronoi diagrams

Indexed keywords


EID: 2842584672     PISSN: 02181959     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218195998000187     Document Type: Article
Times cited : (70)

References (37)
  • 1
    • 0001253834 scopus 로고
    • A linear time algorithm for computing the Voronoi diagram of a convex polygon
    • A. Aggarwal, L. Guibas, J. Saxe, and P. Shor, "A linear time algorithm for computing the Voronoi diagram of a convex polygon," Discrete Comput. Geom. 4 (1989) 591-604.
    • (1989) Discrete Comput. Geom. , vol.4 , pp. 591-604
    • Aggarwal, A.1    Guibas, L.2    Saxe, J.3    Shor, P.4
  • 2
    • 2842562910 scopus 로고
    • Sharp upper and lower bounds on the length of general Davenport-Schinzel sequences
    • A. Aggarwal, M. Sharir, and P.W. Shor, "Sharp upper and lower bounds on the length of general Davenport-Schinzel sequences," Journal of Combinatorial Theory, Series A, 52 (1989) 49-63.
    • (1989) Journal of Combinatorial Theory, Series A , vol.52 , pp. 49-63
    • Aggarwal, A.1    Sharir, M.2    Shor, P.W.3
  • 4
    • 85030548320 scopus 로고
    • Voronoi diagrams of moving points in higher dimensional spaces
    • Helsinki, Finland, July Springer-Verlag LNCS 621
    • G. Albers and T. Roos, "Voronoi diagrams of moving points in higher dimensional spaces,", Proc. Third Scandinavian Workshop on Algorithm Theory SWAT'92, Helsinki, Finland, July 1992, Springer-Verlag LNCS 621, pp. 399-409.
    • (1992) Proc. Third Scandinavian Workshop on Algorithm Theory SWAT'92 , pp. 399-409
    • Albers, G.1    Roos, T.2
  • 5
    • 0025022835 scopus 로고
    • Maximin locations of convex objects and related dynamic Voronoi diagrams
    • Berkeley
    • H. Aonuma, H. Imai, K. Imai, and T. Tokuyama, "Maximin locations of convex objects and related dynamic Voronoi diagrams," Proc. 6th ACM Sympos. on Comput. Geom., Berkeley, 1990, pp. 225-234.
    • (1990) Proc. 6th ACM Sympos. on Comput. Geom. , pp. 225-234
    • Aonuma, H.1    Imai, H.2    Imai, K.3    Tokuyama, T.4
  • 7
    • 84976826673 scopus 로고
    • Voronoi diagrams -A survey of a fundamental data structure
    • F. Aurenhammer, "Voronoi diagrams -A survey of a fundamental data structure," ACM Comput. Surv. 23 (1991) 345-405.
    • (1991) ACM Comput. Surv. , vol.23 , pp. 345-405
    • Aurenhammer, F.1
  • 8
    • 0018768186 scopus 로고
    • Voronoi diagrams from convex hulls
    • K. Brown, "Voronoi diagrams from convex hulls," Info. Proc. Letters 9 (1979) 223-228.
    • (1979) Info. Proc. Letters , vol.9 , pp. 223-228
    • Brown, K.1
  • 9
    • 51249162153 scopus 로고
    • An optimal convex hull algorithm in any fixed dimension
    • B. Chazelle, "An optimal convex hull algorithm in any fixed dimension," Discrete Comput. Geom. 10 (1993) 377-409.
    • (1993) Discrete Comput. Geom. , vol.10 , pp. 377-409
    • Chazelle, B.1
  • 10
    • 2842575117 scopus 로고
    • 1 Voronoi diagram of moving points
    • Waterloo, Canada
    • 1 Voronoi diagram of moving points," Proc. 5th Canad. Conf. Comput. Geom., Waterloo, Canada, 1993, pp. 364-369.
    • (1993) Proc. 5th Canad. Conf. Comput. Geom. , pp. 364-369
    • Chew, L.P.1
  • 13
    • 0003361156 scopus 로고
    • Algorithms in Combinatorial Geometry
    • Springer-Verlag, Berlin-Heidelberg
    • H. Edelsbrunner, Algorithms in Combinatorial Geometry, EATCS Monographs in Computer Science, Springer-Verlag, Berlin-Heidelberg, 1987.
    • (1987) EATCS Monographs in Computer Science
    • Edelsbrunner, H.1
  • 16
    • 84942026338 scopus 로고
    • Primitives for the manipulation of general subdivisions and the computation of Voronoi diagrams
    • L. Guibas and J. Stolfi, "Primitives for the manipulation of general subdivisions and the computation of Voronoi diagrams," ACM Trans. Graphics 4 (1985) 74-123.
    • (1985) ACM Trans. Graphics , vol.4 , pp. 74-123
    • Guibas, L.1    Stolfi, J.2
  • 19
    • 51249171579 scopus 로고
    • Nonlinearity of Davenport-Schinzel sequences and of generalized path compression schemes
    • S. Hart and M. Sharir, "Nonlinearity of Davenport-Schinzel sequences and of generalized path compression schemes," Combinatorica 6 (1986) 151-177.
    • (1986) Combinatorica , vol.6 , pp. 151-177
    • Hart, S.1    Sharir, M.2
  • 20
    • 0026976786 scopus 로고
    • On dynamic Voronoi diagrams and the minimum Hausdorff distance for point sets under Euclidean motions in the plane
    • D.P. Huttenlocher, K. Kedem, and J.M. Kleinberg, "On dynamic Voronoi diagrams and the minimum Hausdorff distance for point sets under Euclidean motions in the plane," Proc. 8th ACM Sympos. on Comput. Geom., Berlin, 1992, pp. 110-119.
    • (1992) Proc. 8th ACM Sympos. on Comput. Geom., Berlin , pp. 110-119
    • Huttenlocher, D.P.1    Kedem, K.2    Kleinberg, J.M.3
  • 21
    • 2842606143 scopus 로고
    • Voronoi diagrams of moving points
    • Taiwan
    • H. Imai and K. Imai, "Voronoi diagrams of moving points," Proc. Int. Computer Symp., Taiwan, 1990, pp. 600-606.
    • (1990) Proc. Int. Computer Symp. , pp. 600-606
    • Imai, H.1    Imai, K.2
  • 24
    • 0003160635 scopus 로고
    • On the complexity of d-dimensional Voronoi diagrams
    • V. Klee, "On the complexity of d-dimensional Voronoi diagrams," Archiv d. Math., 34 (1980) 75-80.
    • (1980) Archiv D. Math. , vol.34 , pp. 75-80
    • Klee, V.1
  • 26
    • 2842516038 scopus 로고
    • Computational Geometry Column 12
    • Spring
    • J. O'Rourke, "Computational Geometry Column 12," ACM SIGAGT News 22, No. 2, Spring 1991, 26-29.
    • (1991) ACM SIGAGT News , vol.22 , Issue.2 , pp. 26-29
    • O'Rourke, J.1
  • 28
    • 2842607299 scopus 로고
    • Voronoi diagrams over dynamic scenes
    • Ottawa
    • T. Roos, "Voronoi diagrams over dynamic scenes (extended abstract)," Proc. 2nd Canad. Conf. Comput. Geom., Ottawa, 1990, pp. 209-213.
    • (1990) Proc. 2nd Canad. Conf. Comput. Geom. , pp. 209-213
    • Roos, T.1
  • 29
    • 0004004746 scopus 로고
    • PhD. Thesis, University of Würzburg, Sept.
    • T. Roos, "Dynamic Voronoi diagram's," PhD. Thesis, University of Würzburg, Sept., 1991.
    • (1991) Dynamic Voronoi Diagram's
    • Roos, T.1
  • 30
    • 0343847902 scopus 로고
    • Tighter bounds on Voronoi diagrams of moving points
    • Waterloo
    • T. Roos, "Tighter bounds on Voronoi diagrams of moving points," Proc. 5th Canad. Conf. Comput. Geom., Waterloo, 1993, pp. 358-363.
    • (1993) Proc. 5th Canad. Conf. Comput. Geom. , pp. 358-363
    • Roos, T.1
  • 31
    • 38248999372 scopus 로고
    • Voronoi diagrams over dynamic scenes
    • T. Roos, "Voronoi diagrams over dynamic scenes," Discrete Appl. Math. 43 (1993) 243-259.
    • (1993) Discrete Appl. Math. , vol.43 , pp. 243-259
    • Roos, T.1
  • 33
    • 2842587234 scopus 로고
    • Dynamic Voronoi diagrams in motion planning: Combining local and global strategies
    • Zurich, Springer-Verlag LNCIS 180
    • T. Roos and H. Noltemeier, "Dynamic Voronoi diagrams in motion planning: Combining local and global strategies," Proc. 15th IFIP Conf. System Modelling and Optimization, Zurich, 1991, Springer-Verlag LNCIS 180, pp. 102-111.
    • (1991) Proc. 15th IFIP Conf. System Modelling and Optimization , pp. 102-111
    • Roos, T.1    Noltemeier, H.2
  • 34
    • 0020237476 scopus 로고
    • The complexity of Voronoi diagrams in higher dimensions
    • R. Seidel, "The complexity of Voronoi diagrams in higher dimensions," Proc. 20th Annual Allerton Conference, 1982, pp. 94-95.
    • (1982) Proc. 20th Annual Allerton Conference , pp. 94-95
    • Seidel, R.1
  • 36
    • 0026922858 scopus 로고
    • Construction of the Voronoi diagram for 'one million' generators in single-precision arithmetic
    • K. Sugihara and M. Iri, "Construction of the Voronoi diagram for 'one million' generators in single-precision arithmetic," Proc. IEEE 80 (1992) 1471-1484.
    • (1992) Proc. IEEE , vol.80 , pp. 1471-1484
    • Sugihara, K.1    Iri, M.2
  • 37
    • 24244447577 scopus 로고
    • Deformation of merged Voronoi diagrams with translations
    • Aug. IBM Tokyo Research Laboratory
    • T. Tokuyama, "Deformation of merged Voronoi diagrams with translations," TRL Research Report TR87-0049, Aug. 1988, IBM Tokyo Research Laboratory.
    • (1988) TRL Research Report , vol.TR87-0049
    • Tokuyama, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.