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Volumn 17, Issue 3, 1997, Pages 322-329

Randomized Quickhull

Author keywords

Computational geometry; Convex hull; Randomized algorithm

Indexed keywords


EID: 0039592816     PISSN: 01784617     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02523195     Document Type: Article
Times cited : (23)

References (20)
  • 1
  • 2
    • 85012738014 scopus 로고
    • Comments on a lower bound for convex hull determination
    • Avis, D. Comments on a lower bound for convex hull determination. Inform. Process. Lett. 11 (1980), 126.
    • (1980) Inform. Process. Lett. , vol.11 , pp. 126
    • Avis, D.1
  • 3
    • 0013488307 scopus 로고
    • Divide-and-conquer for linear expected time
    • Bentley, J. L., and Shamos, M. I. Divide-and-conquer for linear expected time. Inform. Process. Lett. 7 (1978), 87-91.
    • (1978) Inform. Process. Lett. , vol.7 , pp. 87-91
    • Bentley, J.L.1    Shamos, M.I.2
  • 4
    • 0005288378 scopus 로고
    • Convex hull of a finite set of points in two dimensions
    • Bykat, A. Convex hull of a finite set of points in two dimensions. Inform. Process. Lett. 7 (1978), 296-298.
    • (1978) Inform. Process. Lett. , vol.7 , pp. 296-298
    • Bykat, A.1
  • 5
    • 85012248128 scopus 로고
    • Output-sensitive results on convex hulls, extreme points, and related problems
    • Chan, T. Output-sensitive results on convex hulls, extreme points, and related problems. Proc. 11th Anna. ACM Symp. on Computational Geometry, 1995, pp. 10-19.
    • (1995) Proc. 11th Anna. ACM Symp. on Computational Geometry , pp. 10-19
    • Chan, T.1
  • 6
    • 0039173487 scopus 로고
    • Output-sensitive construction of polytopes in four dimensions and clipped Voronoi diagrams in three
    • Chan, T., Snoeyink, J., and Yap, C. K. Output-sensitive construction of polytopes in four dimensions and clipped Voronoi diagrams in three. Proc. 6th ACM-SIAM Symp. on Discrete Algorithms, 1995, pp. 282-291.
    • (1995) Proc. 6th ACM-SIAM Symp. on Discrete Algorithms , pp. 282-291
    • Chan, T.1    Snoeyink, J.2    Yap, C.K.3
  • 7
    • 0037765301 scopus 로고
    • New applications of random sampling in computational geometry
    • Clarkson, K. L. New applications of random sampling in computational geometry. Discrete Comput. Gram. 2 (1987), 195-222.
    • (1987) Discrete Comput. Gram. , vol.2 , pp. 195-222
    • Clarkson, K.L.1
  • 8
    • 0024054715 scopus 로고
    • A randomized algorithm for closest-point queries
    • Clarkson, K. L. A randomized algorithm for closest-point queries. SIAM J. Comput. 17 (1988), 830-847.
    • (1988) SIAM J. Comput. , vol.17 , pp. 830-847
    • Clarkson, K.L.1
  • 9
    • 0001702902 scopus 로고
    • Applications of random sampling in computational geometry, II
    • Clarkson, K. L., and Shor, P. W. Applications of random sampling in computational geometry, II. Discrete Comput. Geom. 4, (1989), 387-421.
    • (1989) Discrete Comput. Geom. , vol.4 , pp. 387-421
    • Clarkson, K.L.1    Shor, P.W.2
  • 10
    • 0019679819 scopus 로고
    • How to reduce the average complexity of convex hull finding algorithms
    • Devroye, L. P. How to reduce the average complexity of convex hull finding algorithms. Comput. Math. Appl. 7 (1981), 299-308.
    • (1981) Comput. Math. Appl. , vol.7 , pp. 299-308
    • Devroye, L.P.1
  • 11
    • 84976730298 scopus 로고
    • A new convex hull algorithm for planar sets
    • Eddy, W. F. A new convex hull algorithm for planar sets. ACM Trans. Math. Software 3 (1977), 398-403 and 411-412.
    • (1977) ACM Trans. Math. Software , vol.3 , pp. 398-403
    • Eddy, W.F.1
  • 12
    • 49649136358 scopus 로고
    • An efficient algorithm for determining the convex hull of a finite planar set
    • Graham, R. L. An efficient algorithm for determining the convex hull of a finite planar set. Inform. Process. Lett. 1 (1972), 132-133.
    • (1972) Inform. Process. Lett. , vol.1 , pp. 132-133
    • Graham, R.L.1
  • 13
    • 0018507167 scopus 로고
    • Constructing the convex hull of a set of points in the plane
    • Green, P. J., and Silverman, B. W. Constructing the convex hull of a set of points in the plane. Comput. J. 22 (1979), 262-266.
    • (1979) Comput. J. , vol.22 , pp. 262-266
    • Green, P.J.1    Silverman, B.W.2
  • 14
    • 0015599132 scopus 로고
    • On the identification of the convex hull of a finite set of points in the plane
    • Jarvis, R. A. On the identification of the convex hull of a finite set of points in the plane. Inform. Process. Lett. 2 (1973), 18-21.
    • (1973) Inform. Process. Lett. , vol.2 , pp. 18-21
    • Jarvis, R.A.1
  • 15
    • 0022663183 scopus 로고
    • The ultimate planar convex hull algorithm?
    • Kirkpatrick, D. G., and Seidel, R. The ultimate planar convex hull algorithm? SIAM J. Comput. 15 (1986), 287-299.
    • (1986) SIAM J. Comput. , vol.15 , pp. 287-299
    • Kirkpatrick, D.G.1    Seidel, R.2
  • 16
    • 0347829311 scopus 로고
    • A more efficient convex hull algorithm
    • Koplowitz, J., and Jouppi, D. A more efficient convex hull algorithm. Inform. Process. Lett. 7 (1978), 56-57.
    • (1978) Inform. Process. Lett. , vol.7 , pp. 56-57
    • Koplowitz, J.1    Jouppi, D.2
  • 18
    • 0038534768 scopus 로고
    • Backwards analysis of randomized geometric algorithms
    • J. Pach, Ed., Algorithms and Combinatorics, Springer-Verlag
    • Seidel, R. Backwards analysis of randomized geometric algorithms. In New Trends in Discrete and Computational Geometry, J. Pach, Ed., Algorithms and Combinatorics, vol. 10. Springer-Verlag, 1993, pp. 37-68.
    • (1993) New Trends in Discrete and Computational Geometry , vol.10 , pp. 37-68
    • Seidel, R.1
  • 20
    • 0019625307 scopus 로고
    • A lower bound to finding convex hulls
    • Yao, A. C. A lower bound to finding convex hulls. J. Assoc. Comput. Mach. 28 (1981), 780-787.
    • (1981) J. Assoc. Comput. Mach. , vol.28 , pp. 780-787
    • Yao, A.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.