메뉴 건너뛰기




Volumn 15, Issue 1, 1996, Pages 73-105

A compact piecewise-linear Voronoi diagram for convex sites in the plane

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030549637     PISSN: 01795376     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02716580     Document Type: Article
Times cited : (55)

References (37)
  • 1
    • 0040230960 scopus 로고
    • Computing the largest inscribed isothetic rectangle
    • Université Laval, Quebec
    • H. Alt, D. Hsu, and J. Snoeyink. Computing the largest inscribed isothetic rectangle. Proc. 7th Canad. Conf. Comput. Geom., pp. 67-72, Université Laval, Quebec, 1995.
    • (1995) Proc. 7th Canad. Conf. Comput. Geom. , pp. 67-72
    • Alt, H.1    Hsu, D.2    Snoeyink, J.3
  • 2
    • 0002599292 scopus 로고
    • Algorithmic aspects of motion planning: A tutorial, part 2
    • H. Alt and C. K. Yap. Algorithmic aspects of motion planning: a tutorial, part 2. Algorithms Rev., 1(2):61-77, 1990.
    • (1990) Algorithms Rev. , vol.1 , Issue.2 , pp. 61-77
    • Alt, H.1    Yap, C.K.2
  • 3
    • 84976826673 scopus 로고
    • Voronoi diagrams - A survey of a fundamental geometric data structure
    • F. Aurenhammer. Voronoi diagrams - a survey of a fundamental geometric data structure. ACM Comput. Surveys, 23(3):345-405, 1991.
    • (1991) ACM Comput. Surveys , vol.23 , Issue.3 , pp. 345-405
    • Aurenhammer, F.1
  • 4
    • 0020879158 scopus 로고
    • Lower bounds for algebraic computation trees
    • M. Ben-Or. Lower bounds for algebraic computation trees. Proc. 15th Ann. ACM STOC, pp. 80-86, 1983.
    • (1983) Proc. 15th Ann. ACM STOC , pp. 80-86
    • Ben-Or, M.1
  • 6
    • 33744622539 scopus 로고
    • A dynamic construction of higher-order Voronoi diagrams and its randomized analysis
    • INRIA Sophia-Antipolis, Valbonne
    • J.-D. Boissonnat, O. Devillers, and M. Teillaud. A dynamic construction of higher-order Voronoi diagrams and its randomized analysis. Technical Report 1207, INRIA Sophia-Antipolis, Valbonne, 1990.
    • (1990) Technical Report 1207 , vol.1207
    • Boissonnat, J.-D.1    Devillers, O.2    Teillaud, M.3
  • 8
    • 0039639072 scopus 로고
    • On the randomized construction of the Delaunay tree
    • INRIA Sophia-Antipolis, Valbonne
    • J.-D. Boissonnat and M. Teillaud. On the randomized construction of the Delaunay tree. Technical Report 1140, INRIA Sophia-Antipolis, Valbonne, 1989.
    • (1989) Technical Report 1140 , vol.1140
    • Boissonnat, J.-D.1    Teillaud, M.2
  • 11
    • 84976779359 scopus 로고
    • Voronoi diagrams based on convex distance functions
    • L. P. Chew and R. L. Drysdale. Voronoi diagrams based on convex distance functions. Proc. ACM Symp. Comp. Geom., pp. 235-244, 1985.
    • (1985) Proc. ACM Symp. Comp. Geom. , pp. 235-244
    • Chew, L.P.1    Drysdale, R.L.2
  • 13
    • 0027098555 scopus 로고
    • Fully dynamic Delaunay triangulation in logarithmic expected time per operation
    • O. Devillers, S. Meiser, and M. Teillaud. Fully dynamic Delaunay triangulation in logarithmic expected time per operation. Comput. Geom. Theory Appl., 2(2):55-80, 1992.
    • (1992) Comput. Geom. Theory Appl. , vol.2 , Issue.2 , pp. 55-80
    • Devillers, O.1    Meiser, S.2    Teillaud, M.3
  • 14
    • 0000551431 scopus 로고
    • Computing the extreme distances between two convex polygons
    • H. Edelsbrunner. Computing the extreme distances between two convex polygons. J. Algorithms, 6:213-224, 1985.
    • (1985) J. Algorithms , vol.6 , pp. 213-224
    • Edelsbrunner, H.1
  • 15
    • 0022711327 scopus 로고
    • Optimal point location in a monotone subdivision
    • H. Edelsbrunner, L. Guibas, and J. Stolfi. Optimal point location in a monotone subdivision. SIAM J. Comput., 15:317-340, 1986.
    • (1986) SIAM J. Comput. , pp. 317-340
    • Edelsbrunner, H.1    Guibas, L.2    Stolfi, J.3
  • 16
    • 52449147685 scopus 로고
    • A sweepline algorithm for Voronoi diagrams
    • S. Fortune. A sweepline algorithm for Voronoi diagrams. Algorithmica, 2:153-174, 1987.
    • (1987) Algorithmica , vol.2 , pp. 153-174
    • Fortune, S.1
  • 17
    • 52449149247 scopus 로고
    • Randomized incremental construction of Delaunay and Voronoi diagrams
    • L. J. Guibas, D. E. Knuth, and M. Sharir. Randomized incremental construction of Delaunay and Voronoi diagrams. Algorithmica, 7:381-413, 1992.
    • (1992) Algorithmica , vol.7 , pp. 381-413
    • Guibas, L.J.1    Knuth, D.E.2    Sharir, M.3
  • 19
    • 0002429537 scopus 로고
    • Optimal search in planar subdivisions
    • D. Kirkpatrick. Optimal search in planar subdivisions. SIAM J. Comput., 12:28-35, 1983.
    • (1983) SIAM J. Comput. , vol.12 , pp. 28-35
    • Kirkpatrick, D.1
  • 20
    • 0039639070 scopus 로고
    • Computing constrained segments: Butterfly wingspans in logarithmic time
    • Waterloo
    • D. Kirkpatrick and J. Snoeyink. Computing constrained segments: butterfly wingspans in logarithmic time. Proc. 5th Canad. Conf. Comput. Geom., pp. 163-168, Waterloo, 1993.
    • (1993) Proc. 5th Canad. Conf. Comput. Geom. , pp. 163-168
    • Kirkpatrick, D.1    Snoeyink, J.2
  • 21
    • 0029291583 scopus 로고
    • Tentative prune-and-search for computing fixed-points with applications to geometric computation
    • D. Kirkpatrick and J. Snoeyink. Tentative prune-and-search for computing fixed-points with applications to geometric computation. Fund. Inform., pp. 353-370, 1994.
    • (1994) Fund. Inform. , pp. 353-370
    • Kirkpatrick, D.1    Snoeyink, J.2
  • 22
    • 84922468594 scopus 로고
    • Efficient computation of continuous skeletons
    • D. G. Kirkpatrick. Efficient computation of continuous skeletons. Proc. 18th FOCS, pp. 162-170, 1977.
    • (1977) Proc. 18th FOCS , pp. 162-170
    • Kirkpatrick, D.G.1
  • 23
    • 0003351855 scopus 로고
    • Concrete and abstract voronoi diagrams
    • Springer-Verlag, Berlin
    • R. Klein. Concrete and Abstract Voronoi Diagrams. LNCS, Vol. 400. Springer-Verlag, Berlin, 1989.
    • (1989) LNCS , vol.400
    • Klein, R.1
  • 24
    • 0010268561 scopus 로고
    • Randomized incremental construction of abstract Voronoi diagrams
    • R. Klein, K. Mehlhorn, and S. Meiser. Randomized incremental construction of abstract Voronoi diagrams. Comput. Geom. Theory Appl., 3(3):157-184, 1993.
    • (1993) Comput. Geom. Theory Appl. , vol.3 , Issue.3 , pp. 157-184
    • Klein, R.1    Mehlhorn, K.2    Meiser, S.3
  • 25
    • 0002275443 scopus 로고
    • Planning a purely translational motion for a convex polygonal object in two dimensional space using generalized Voronoi diagrams
    • D. Leven and M. Sharir. Planning a purely translational motion for a convex polygonal object in two dimensional space using generalized Voronoi diagrams. Discrete Comput. Geom., 2:9-31, 1987.
    • (1987) Discrete Comput. Geom. , vol.2 , pp. 9-31
    • Leven, D.1    Sharir, M.2
  • 28
    • 34748864359 scopus 로고
    • A "retraction" method for planning the motion of a disc
    • C. O'Dunlaing and C. K. Yap. A "retraction" method for planning the motion of a disc. J. Algorithms, 6:104-111, 1985.
    • (1985) J. Algorithms , vol.6 , pp. 104-111
    • O'Dunlaing, C.1    Yap, C.K.2
  • 30
    • 0025741904 scopus 로고
    • Moving a disc between polygons
    • H. Rohnert. Moving a disc between polygons. Algorithmica, 6:182-191, 1991.
    • (1991) Algorithmica , vol.6 , pp. 182-191
    • Rohnert, H.1
  • 31
    • 84976669340 scopus 로고
    • Planar point location using persistent search trees
    • N. Sarnak and R. E. Tarjan. Planar point location using persistent search trees. Comm. ACM, 29:669-679, 1986.
    • (1986) Comm. ACM , pp. 669-679
    • Sarnak, N.1    Tarjan, R.E.2
  • 34
  • 35
    • 33744573413 scopus 로고
    • A real nearly linear algorithm for translating a convex polygon
    • Courant Inst. Math. Sci., NYU
    • S. Sifrony. A real nearly linear algorithm for translating a convex polygon. Technical Report 479, Courant Inst. Math. Sci., NYU, 1989.
    • (1989) Technical Report 479 , vol.479
    • Sifrony, S.1
  • 36
    • 0026922858 scopus 로고
    • Construction of the voronoi diagram for "one million" generators in single-precision arithmetic
    • Sept.
    • K. Sugihara and M. Iri. Construction of the Voronoi diagram for "one million" generators in single-precision arithmetic. Proc. IEEE, 80(9): 1471-1484, Sept. 1992.
    • (1992) Proc. IEEE , vol.80 , Issue.9 , pp. 1471-1484
    • Sugihara, K.1    Iri, M.2
  • 37
    • 0346755279 scopus 로고
    • An O(n log n) algorithm for the Voronoi diagram of a set of simple curve segments
    • C. K. Yap. An O(n log n) algorithm for the Voronoi diagram of a set of simple curve segments. Discrete Comput. Geom., 2:365-393, 1987.
    • (1987) Discrete Comput. Geom. , vol.2 , pp. 365-393
    • Yap, C.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.