메뉴 건너뛰기




Volumn 29, Issue 2, 2004, Pages 61-89

Expected time analysis for Delaunay point location

Author keywords

Computational geometry; Delaunay triangulation; Expected time analysis; Point location; Probabilistic analysis; Random tree; Voronoi diagram

Indexed keywords


EID: 4344644967     PISSN: 09257721     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.comgeo.2004.02.002     Document Type: Article
Times cited : (32)

References (35)
  • 1
    • 0018454769 scopus 로고
    • Fast probabilistic algorithms for Hamiltonian circuits and matchings
    • Angluin D., Valiant L.G. Fast probabilistic algorithms for Hamiltonian circuits and matchings. J. Comput. System Sci. 18:1979;155-193.
    • (1979) J. Comput. System Sci. , vol.18 , pp. 155-193
    • Angluin, D.1    Valiant, L.G.2
  • 2
    • 0016557674 scopus 로고
    • Multidimensional binary search trees used for associative searching
    • Bentley J.L. Multidimensional binary search trees used for associative searching. Comm. ACM. 18:1975;509-517.
    • (1975) Comm. ACM , vol.18 , pp. 509-517
    • Bentley, J.L.1
  • 3
    • 84976672179 scopus 로고
    • Optimal expected-time algorithms for closest point problems
    • Bentley J.L., Weide B.W., Yao A.C. Optimal expected-time algorithms for closest point problems. ACM Trans. Math. Software. 6:1980;563-580.
    • (1980) ACM Trans. Math. Software , vol.6 , pp. 563-580
    • Bentley, J.L.1    Weide, B.W.2    Yao, A.C.3
  • 5
    • 0027592403 scopus 로고
    • On the randomized construction of the Delaunay tree
    • Boissonnat J.-D., Teillaud M. On the randomized construction of the Delaunay tree. Theoret. Comput. Sci. 112:1993;339-354.
    • (1993) Theoret. Comput. Sci. , vol.112 , pp. 339-354
    • Boissonnat, J.-D.1    Teillaud, M.2
  • 9
    • 0005422426 scopus 로고    scopus 로고
    • Intersections with random geometric objects
    • Bose P., Devroye L. Intersections with random geometric objects. Computational Geometry. 10:1998;139-154.
    • (1998) Computational Geometry , vol.10 , pp. 139-154
    • Bose, P.1    Devroye, L.2
  • 10
    • 0035585875 scopus 로고    scopus 로고
    • Analysis of range search for random k-d trees
    • Chanzy P., Devroye L., Zamora-Cura C. Analysis of range search for random k-d trees. Acta Inform. 37:2001;355-383.
    • (2001) Acta Inform. , vol.37 , pp. 355-383
    • Chanzy, P.1    Devroye, L.2    Zamora-Cura, C.3
  • 13
    • 0027098555 scopus 로고
    • Fully dynamic Delaunay triangulation in logarithmic expected time per operation
    • Devillers O., Meiser S., Teillaud M. Fully dynamic Delaunay triangulation in logarithmic expected time per operation. Computational Geometry. 2:1992;55-80.
    • (1992) Computational Geometry , vol.2 , pp. 55-80
    • Devillers, O.1    Meiser, S.2    Teillaud, M.3
  • 16
    • 0001020005 scopus 로고    scopus 로고
    • A note on point location in Delaunay triangulations of random points
    • Devroye L., Mücke E., Zhu B. A note on point location in Delaunay triangulations of random points. Algorithmica. 22:1998;477-482.
    • (1998) Algorithmica , vol.22 , pp. 477-482
    • Devroye, L.1    Mücke, E.2    Zhu, B.3
  • 20
    • 77957180267 scopus 로고
    • Computing Dirichlet tesselations in the plane
    • Green P., Sibson R. Computing Dirichlet tesselations in the plane. Comput. J. 21:1978;168-173.
    • (1978) Comput. J. , vol.21 , pp. 168-173
    • Green, P.1    Sibson, R.2
  • 21
    • 84942026338 scopus 로고
    • Primitives for the manipulation of general subdivisions and the computation of Voronoi diagrams
    • Guibas L., Stolfi J. Primitives for the manipulation of general subdivisions and the computation of Voronoi diagrams. ACM Trans. Graph. 4:1985;74-123.
    • (1985) ACM Trans. Graph. , vol.4 , pp. 74-123
    • Guibas, L.1    Stolfi, J.2
  • 22
    • 52449149247 scopus 로고
    • Randomized incremental construction of Delaunay and Voronoi diagrams
    • Guibas L.J., Knuth D.E., Sharir M. Randomized incremental construction of Delaunay and Voronoi diagrams. Algorithmica. 1992;381-413.
    • (1992) Algorithmica , pp. 381-413
    • Guibas, L.J.1    Knuth, D.E.2    Sharir, M.3
  • 23
    • 0026897357 scopus 로고
    • An all-round sweep algorithm for 2-dimensional nearest-neighbor problems
    • Hinrichs K., Nievergelt J., Schorn P. An all-round sweep algorithm for 2-dimensional nearest-neighbor problems. Acta Inform. 29:1992;383-394.
    • (1992) Acta Inform. , vol.29 , pp. 383-394
    • Hinrichs, K.1    Nievergelt, J.2    Schorn, P.3
  • 25
    • 0000061516 scopus 로고
    • Software for C1 surface interpolation
    • J. Rice. New York: Academic Press
    • Lawson C.L. Software for C1 surface interpolation. Rice J. Mathematical Software III. 1977;161-194 Academic Press, New York.
    • (1977) Mathematical Software III , pp. 161-194
    • Lawson, C.L.1
  • 27
    • 0041758594 scopus 로고    scopus 로고
    • Fast randomized point location without preprocessing in two- and three-dimensional Delaunay triangulations
    • Mücke E.P., Saias I., Zhu B. Fast randomized point location without preprocessing in two- and three-dimensional Delaunay triangulations. Computational Geometry. 12:1999;63-83.
    • (1999) Computational Geometry , vol.12 , pp. 63-83
    • Mücke, E.P.1    Saias, I.2    Zhu, B.3
  • 28
    • 0007082977 scopus 로고
    • Binary search trees of bounded balance
    • Nievergelt J., Reingold E.M. Binary search trees of bounded balance. SIAM J. Comput. 2:1973;33-43.
    • (1973) SIAM J. Comput. , vol.2 , pp. 33-43
    • Nievergelt, J.1    Reingold, E.M.2
  • 30
    • 51849177724 scopus 로고
    • Some inequalities relating to the partial sum of binomial probabilities
    • Okamoto M. Some inequalities relating to the partial sum of binomial probabilities. Ann. Math. Statist. 10:1958;29-35.
    • (1958) Ann. Math. Statist. , vol.10 , pp. 29-35
    • Okamoto, M.1
  • 31
    • 0347349284 scopus 로고    scopus 로고
    • Some extensions of an inequality of Vapnik and Chervonenkis
    • Panchenko D. Some extensions of an inequality of Vapnik and Chervonenkis. Electron. Comm. Probab. 7:2002;55-65.
    • (2002) Electron. Comm. Probab. , vol.7 , pp. 55-65
    • Panchenko, D.1
  • 33
    • 0018544473 scopus 로고
    • The height of binary search trees
    • Robson J.M. The height of binary search trees. Australian Comput. J. 11:1979;151-153.
    • (1979) Australian Comput. J. , vol.11 , pp. 151-153
    • Robson, J.M.1
  • 34
    • 0025796458 scopus 로고
    • Refinements to nearest-neighbor searching in k -dimensional trees
    • Sproull R.F. Refinements to nearest-neighbor searching in k -dimensional trees. Algorithmica. 6:1991;579-589.
    • (1991) Algorithmica , vol.6 , pp. 579-589
    • Sproull, R.F.1
  • 35
    • 0001024505 scopus 로고
    • On the uniform convergence of relative frequencies of events to their probabilities
    • Vapnik V.N., Chervonenkis A.Ya. On the uniform convergence of relative frequencies of events to their probabilities. Theory Probab. Appl. 16:1971;264-280.
    • (1971) Theory Probab. Appl. , vol.16 , pp. 264-280
    • Vapnik, V.N.1    Chervonenkis, A.Ya.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.