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Volumn 43, Issue 3, 2010, Pages 243-250

A (slightly) faster algorithm for Klee's measure problem

Author keywords

Boxes; Data structures; Union of geometric objects; Volume

Indexed keywords


EID: 84867922154     PISSN: 09257721     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.comgeo.2009.01.007     Document Type: Conference Paper
Times cited : (46)

References (30)
  • 5
    • 0038897223 scopus 로고    scopus 로고
    • Voronoi diagrams in higher dimensions under certain polyhedral distance functions
    • J.-D. Boissonnat, M. Sharir, B. Tagansky, and M. Yvinec Voronoi diagrams in higher dimensions under certain polyhedral distance functions Discrete Comput. Geom. 19 1998 473 484
    • (1998) Discrete Comput. Geom. , vol.19 , pp. 473-484
    • Boissonnat, J.-D.1    Sharir, M.2    Tagansky, B.3    Yvinec, M.4
  • 6
    • 35448954441 scopus 로고    scopus 로고
    • On the parametrized complexity of d-dimensional point set pattern matching
    • S. Cabello, P. Giannopoulos, and C. Knauer On the parametrized complexity of d-dimensional point set pattern matching Inform. Process. Lett. 105 2008 73 77
    • (2008) Inform. Process. Lett. , vol.105 , pp. 73-77
    • Cabello, S.1    Giannopoulos, P.2    Knauer, C.3
  • 8
    • 0033461748 scopus 로고    scopus 로고
    • Geometric applications of a randomized optimization technique
    • T.M. Chan Geometric applications of a randomized optimization technique Discrete Comput. Geom. 22 1999 547 567
    • (1999) Discrete Comput. Geom. , vol.22 , pp. 547-567
    • Chan, T.M.1
  • 9
    • 0038299454 scopus 로고    scopus 로고
    • Semi-online maintenance of geometric optima and measures
    • T.M. Chan Semi-online maintenance of geometric optima and measures SIAM J. Comput. 32 2003 700 716
    • (2003) SIAM J. Comput. , vol.32 , pp. 700-716
    • Chan, T.M.1
  • 10
    • 35448979108 scopus 로고    scopus 로고
    • More algorithms for all-pairs shortest paths in weighted graphs
    • T.M. Chan, More algorithms for all-pairs shortest paths in weighted graphs, in: Proc. 39th ACM Sympos. Theory Comput., 2007, pp. 590-598
    • (2007) Proc. 39th ACM Sympos. Theory Comput. , pp. 590-598
    • Chan, T.M.1
  • 12
    • 0001275216 scopus 로고
    • Static and dynamic algorithms for k-point clustering problems
    • A. Datta, H.-P. Lenhof, C. Schwarz, and M. Smid Static and dynamic algorithms for k-point clustering problems J. Algorithms 19 1995 474 503
    • (1995) J. Algorithms , vol.19 , pp. 474-503
    • Datta, A.1    Lenhof, H.-P.2    Schwarz, C.3    Smid, M.4
  • 13
    • 85031913950 scopus 로고
    • Optimal algorithms for list indexing and subset rank
    • Lect. Notes Comput. Sci. Springer-Verlag
    • P.F. Dietz Optimal algorithms for list indexing and subset rank Proc. 1st Workshop Algorithms Data Struct. Lect. Notes Comput. Sci. vol. 382 1989 Springer-Verlag 39 46
    • (1989) Proc. 1st Workshop Algorithms Data Struct. , vol.382 , pp. 39-46
    • Dietz, P.F.1
  • 14
    • 0030264248 scopus 로고    scopus 로고
    • Computing the discrepancy with applications to supersampling patterns
    • D.P. Dobkin, D. Eppstein, and D.P. Mitchell Computing the discrepancy with applications to supersampling patterns ACM Trans. Graph. 15 1996 354 376
    • (1996) ACM Trans. Graph. , vol.15 , pp. 354-376
    • Dobkin, D.P.1    Eppstein, D.2    Mitchell, D.P.3
  • 15
    • 1642338460 scopus 로고    scopus 로고
    • Binary space partitions for axis-parallel segments, rectangles, and hyperrectangles
    • A. Dumitrescu, J.S.B. Mitchell, and M. Sharir Binary space partitions for axis-parallel segments, rectangles, and hyperrectangles Discrete Comput. Geom. 31 2004 207 227
    • (2004) Discrete Comput. Geom. , vol.31 , pp. 207-227
    • Dumitrescu, A.1    Mitchell, J.S.B.2    Sharir, M.3
  • 16
    • 51249161526 scopus 로고
    • Iterated nearest neighbors and finding minimal polytopes
    • D. Eppstein, and J. Erickson Iterated nearest neighbors and finding minimal polytopes Discrete Comput. Geom. 11 1994 321 350
    • (1994) Discrete Comput. Geom. , vol.11 , pp. 321-350
    • Eppstein, D.1    Erickson, J.2
  • 23
    • 0040738477 scopus 로고
    • bi ] be computed in less than O (nlogn) steps?
    • bi ] be computed in less than O (nlogn) steps? Amer. Math. Monthly 84 1977 284 285
    • (1977) Amer. Math. Monthly , vol.84 , pp. 284-285
    • Klee, V.1
  • 24
    • 0009819641 scopus 로고
    • The measure problem for rectangular ranges in d-space
    • J. van Leeuwen, and D. Wood The measure problem for rectangular ranges in d-space J. Algorithms 2 1981 282 300
    • (1981) J. Algorithms , vol.2 , pp. 282-300
    • Van Leeuwen, J.1    Wood, D.2
  • 25
  • 27
    • 51249161633 scopus 로고
    • Range searching with efficient hierarchical cuttings
    • J. Matoušek Range searching with efficient hierarchical cuttings Discrete Comput. Geom. 10 1993 157 182
    • (1993) Discrete Comput. Geom. , vol.10 , pp. 157-182
    • Matoušek, J.1
  • 29
    • 0026406169 scopus 로고
    • New upper bounds in Klee's measure problem
    • M. Overmars, and C.-K. Yap New upper bounds in Klee's measure problem SIAM J. Comput. 20 1991 1034 1045
    • (1991) SIAM J. Comput. , vol.20 , pp. 1034-1045
    • Overmars, M.1    Yap, C.-K.2
  • 30
    • 0013362370 scopus 로고    scopus 로고
    • On dynamic algorithms for algebraic problems
    • J.H. Reif, and S.R. Tate On dynamic algorithms for algebraic problems J. Algorithms 22 1997 347 371
    • (1997) J. Algorithms , vol.22 , pp. 347-371
    • Reif, J.H.1    Tate, S.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.