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Volumn 45, Issue 5-6, 2012, Pages 225-233

An improved algorithm for Klee's measure problem on fat boxes

Author keywords

Geometric data structures; Union of cubes

Indexed keywords

GEOMETRIC DATA STRUCTURES; IMPROVED ALGORITHM; K-CLIQUE; KLEE'S MEASURE PROBLEM; RUNTIMES; TIME ALGORITHMS; UNION OF CUBES;

EID: 84857050367     PISSN: 09257721     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.comgeo.2011.12.001     Document Type: Conference Paper
Times cited : (28)

References (15)
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    • Computing the volume of the union of cubes
    • DOI 10.1145/1247069.1247121, Proceedings of the Twenty-third Annual Symposium on Computational Geometry, SCG'07
    • P.K. Agarwal, H. Kaplan, M. Sharir, Computing the volume of the union of cubes, in: Proc. 23rd Annual Symposium on Computational Geometry (SoCG'07), 2007, pp. 294-301. (Pubitemid 47582074)
    • (2007) Proceedings of the Annual Symposium on Computational Geometry , pp. 294-301
    • Agarwal, P.K.1    Kaplan, H.2    Sharir, M.3
  • 3
    • 0003428927 scopus 로고
    • Department of Computer Science, Carnegie Mellon University unpublished notes
    • J.L. Bentley, Algorithms for Klee's rectangle problems, Department of Computer Science, Carnegie Mellon University, 1977, unpublished notes.
    • (1977) Algorithms for Klee's Rectangle Problems
    • Bentley, J.L.1
  • 6
    • 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
  • 8
    • 1642338460 scopus 로고    scopus 로고
    • Binary space partitions for axis-parallel segments, rectangles, and hyperrectangles
    • DOI 10.1007/s00454-003-0729-3
    • A. Dumitrescu, J.S.B. Mitchell, and M. Sharir Binary space partitions for axis-parallel segments, rectangles, and hyperrectangles Discrete & Computational Geometry 31 2004 207 227 (Pubitemid 38389604)
    • (2004) Discrete and Computational Geometry , vol.31 , Issue.2 , pp. 207-227
    • Dumitrescu, A.1    Mitchell, J.S.B.2    Sharir, M.3
  • 12
    • 0040738477 scopus 로고
    • bi ] be computed in less than O (nlog n) steps?
    • bi ] be computed in less than O (nlog n) steps? American Mathematical Monthly 84 1977 284 285
    • (1977) American Mathematical Monthly , vol.84 , pp. 284-285
    • Klee, V.1
  • 14
    • 0026406169 scopus 로고
    • New upper bounds in Klee's measure problem
    • M.H. 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.H.1    Yap, C.-K.2
  • 15
    • 58549093044 scopus 로고    scopus 로고
    • An average running time analysis of a backtracking algorithm to calculate the measure of the union of hyperrectangles in d dimensions
    • S. Suzuki, T. Ibaraki, An average running time analysis of a backtracking algorithm to calculate the measure of the union of hyperrectangles in d dimensions, in: Proc. 16th Canadian Conference on Computational Geometry (CCCG'04), 2004, pp. 196-199.
    • (2004) Proc. 16th Canadian Conference on Computational Geometry (CCCG'04) , pp. 196-199
    • Suzuki, S.1    Ibaraki, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.