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Volumn 16, Issue 4, 1996, Pages 369-387

Output-sensitive results on convex hulls, extreme points, and related problems

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EID: 0030506452     PISSN: 01795376     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02712874     Document Type: Article
Times cited : (84)

References (46)
  • 1
    • 0027641024 scopus 로고
    • Ray shooting and parametric search
    • P. K. Agarwal and J. Matoušek. Ray shooting and parametric search. SIAM J. Comput., 22:794-806, 1993.
    • (1993) SIAM J. Comput. , vol.22 , pp. 794-806
    • Agarwal, P.K.1    Matoušek, J.2
  • 2
    • 0000229282 scopus 로고
    • Dynamic half-space range reporting and its applications
    • P. K. Agarwal and J. Matoušek. Dynamic half-space range reporting and its applications. Algorithmica, 13:325-345, 1995.
    • (1995) Algorithmica , vol.13 , pp. 325-345
    • Agarwal, P.K.1    Matoušek, J.2
  • 4
    • 0000108833 scopus 로고
    • Decomposable searching problems, I: Static-to-dynamic transformations
    • J. L. Bentley and J. Saxe. Decomposable searching problems, I: static-to-dynamic transformations. J. Algorithms, 1:301-358, 1980.
    • (1980) J. Algorithms , vol.1 , pp. 301-358
    • Bentley, J.L.1    Saxe, J.2
  • 5
    • 85012248128 scopus 로고
    • Output-sensitive results on convex hulls, extreme points, and related problems
    • T. M. Chan. Output-sensitive results on convex hulls, extreme points, and related problems. Proc. 11th ACM Symp. on Computational Geometry, pp. 10-19, 1995.
    • (1995) Proc. 11th ACM Symp. on Computational Geometry , pp. 10-19
    • Chan, T.M.1
  • 6
    • 0030490026 scopus 로고    scopus 로고
    • Optimal output-sensitive convex hull algorithms in two and three dimensions
    • this issue
    • T. M. Chan. Optimal output-sensitive convex hull algorithms in two and three dimensions. Discrete Comput. Geom., this issue, pp. 361-368.
    • Discrete Comput. Geom. , pp. 361-368
    • Chan, T.M.1
  • 7
    • 0039173487 scopus 로고
    • Output-sensitive construction of polytopes in four dimensions and clipped voronoi diagrams in three
    • T. M. Chan, J. Snoeyink, and C.-K. Yap. Output-sensitive construction of polytopes in four dimensions and clipped Voronoi diagrams in three. Proc. 6th ACM-SIAM Symp. on Discrete Algorithms, pp. 282-291, 1995.
    • (1995) Proc. 6th ACM-SIAM Symp. on Discrete Algorithms , pp. 282-291
    • Chan, T.M.1    Snoeyink, J.2    Yap, C.-K.3
  • 9
    • 84922451359 scopus 로고
    • An optimal algorithm for computing convex layers
    • B. Chazelle. An optimal algorithm for computing convex layers. IEEE Trans. Inform. Theory, 31:509-517, 1985.
    • (1985) IEEE Trans. Inform. Theory , vol.31 , pp. 509-517
    • Chazelle, B.1
  • 10
    • 0039173457 scopus 로고
    • An optimal convex hull algorithm for point sets in any fixed dimension
    • B. Chazelle. An optimal convex hull algorithm for point sets in any fixed dimension. Discrete Comput. Geom., 9:145-158, 1993.
    • (1993) Discrete Comput. Geom. , vol.9 , pp. 145-158
    • Chazelle, B.1
  • 11
    • 0040358066 scopus 로고
    • Derandomizing an output-sensitive convex hull algorithm in three dimensions
    • B. Chazelle and J. Matoušek. Derandomizing an output-sensitive convex hull algorithm in three dimensions. Comput. Geom. Theory Appl., 5:27-32, 1995.
    • (1995) Comput. Geom. Theory Appl. , vol.5 , pp. 27-32
    • Chazelle, B.1    Matoušek, J.2
  • 13
    • 0001702902 scopus 로고
    • Applications of random sampling in computational geometry, II
    • K. L. Clarkson and P. W. Shor. Applications of random sampling in computational geometry, II. Discrete Comput. Geom., 4:387-421, 1989.
    • (1989) Discrete Comput. Geom. , vol.4 , pp. 387-421
    • Clarkson, K.L.1    Shor, P.W.2
  • 14
    • 0023271105 scopus 로고
    • Slowing down sorting networks to obtain faster sorting algorithms
    • R. Cole. Slowing down sorting networks to obtain faster sorting algorithms. J. Assoc. Comput. Mach., 34:200-208, 1987.
    • (1987) J. Assoc. Comput. Mach. , vol.34 , pp. 200-208
    • Cole, R.1
  • 15
  • 17
    • 0025214884 scopus 로고
    • Simulation of simplicity: A technique to cope with degenerate cases in geometric algorithms
    • H. Edelsbrunner and E. P. Mücke. Simulation of simplicity: A technique to cope with degenerate cases in geometric algorithms. ACM Trans. Graphics, 9:66-104, 1990.
    • (1990) ACM Trans. Graphics , vol.9 , pp. 66-104
    • Edelsbrunner, H.1    Mücke, E.P.2
  • 18
    • 0026140321 scopus 로고
    • 2 h ) time algorithm for the three-dimensional convex hull problem
    • 2 h ) time algorithm for the three-dimensional convex hull problem. SIAM J. Comput., 20:259-277, 1991.
    • (1991) SIAM J. Comput. , vol.20 , pp. 259-277
    • Edelsbrunner, H.1    Shi, W.2
  • 19
    • 0022663946 scopus 로고
    • Constructing belts in two-dimensional arrangements with applications
    • H. Edelsbrunner and E. Welzl. Constructing belts in two-dimensional arrangements with applications. SIAM J. Comput., 15:271-284, 1986.
    • (1986) SIAM J. Comput. , vol.15 , pp. 271-284
    • Edelsbrunner, H.1    Welzl, E.2
  • 22
    • 49649136358 scopus 로고
    • An efficient algorithm for determining the convex hull of a finite planar set
    • R. L. Graham. An efficient algorithm for determining the convex hull of a finite planar set. Inform. Process. Lett., 1:132-133, 1972.
    • (1972) Inform. Process. Lett. , vol.1 , pp. 132-133
    • Graham, R.L.1
  • 23
    • 0022663183 scopus 로고
    • The ultimate planar convex hull algorithm?
    • D. G. Kirkpatrick and R. Seidel. The ultimate planar convex hull algorithm? SIAM J. Comput., 15:287-299, 1986.
    • (1986) SIAM J. Comput. , vol.15 , pp. 287-299
    • Kirkpatrick, D.G.1    Seidel, R.2
  • 24
    • 0000166119 scopus 로고
    • Linear optimization queries
    • J. Matoušek. Linear optimization queries. J. Algorithms, 14:432-448, 1993. Also with O. Schwarzkopf in Proc. 8th ACM Symp. on Computational Geometry, pp. 16-25, 1992.
    • (1993) J. Algorithms , vol.14 , pp. 432-448
    • Matoušek, J.1
  • 28
    • 84976163829 scopus 로고
    • The maximal number of faces of a convex polytope
    • P. McMullen. The maximal number of faces of a convex polytope. Mathematika, 17:179-184, 1970.
    • (1970) Mathematika , vol.17 , pp. 179-184
    • McMullen, P.1
  • 29
    • 0020828745 scopus 로고
    • Applying parallel computation algorithms in the design of serial algorithms
    • N. Megiddo. Applying parallel computation algorithms in the design of serial algorithms. J. Assoc. Comput. Mach., 30:852-865, 1983.
    • (1983) J. Assoc. Comput. Mach. , vol.30 , pp. 852-865
    • Megiddo, N.1
  • 30
    • 84922468776 scopus 로고    scopus 로고
    • Linear programming in linear time when the dimension is fixed
    • N. Megiddo. Linear programming in linear time when the dimension is fixed. J. Assoc. Comput. Mach.,
    • J. Assoc. Comput. Mach.
    • Megiddo, N.1
  • 33
    • 84947794272 scopus 로고
    • Enumerating extreme points in higher dimensions
    • Proc. 12th Symp. on Theoretical Aspects of Computer Science, Springer-Verlag, Berlin
    • T. Ottmann, S. Schuierer, and S. Soundaralakshmi. Enumerating extreme points in higher dimensions. Proc. 12th Symp. on Theoretical Aspects of Computer Science, pp. 562-570. Lecture Notes in Computer Science, vol. 900. Springer-Verlag, Berlin, 1995.
    • (1995) Lecture Notes in Computer Science , vol.900 , pp. 562-570
    • Ottmann, T.1    Schuierer, S.2    Soundaralakshmi, S.3
  • 35
  • 36
    • 0017453547 scopus 로고
    • Convex hulls of finite sets of points in two and three dimensions
    • F. P. Preparata and S. J. Hong. Convex hulls of finite sets of points in two and three dimensions. Commun. ACM, 20:87-93, 1977.
    • (1977) Commun. ACM , vol.20 , pp. 87-93
    • Preparata, F.P.1    Hong, S.J.2
  • 39
    • 0024071047 scopus 로고
    • On the detection of a common intersection of k convex objects in the plane
    • M. Reichling. On the detection of a common intersection of k convex objects in the plane. Inform. Process. Lett., 29:25-29, 1988.
    • (1988) Inform. Process. Lett. , vol.29 , pp. 25-29
    • Reichling, M.1
  • 40
    • 0012582439 scopus 로고
    • On the detection of a common intersection of k convex polyhedra
    • H. Noltemeier (ed.), Computational Geometry and Its Applications, Spinger-Verlag, Berlin
    • M. Reichling. On the detection of a common intersection of k convex polyhedra. In H. Noltemeier (ed.), Computational Geometry and Its Applications, pp. 180-186. Lecture Notes in Computer Science, vol. 333. Spinger-Verlag, Berlin, 1988.
    • (1988) Lecture Notes in Computer Science , vol.333 , pp. 180-186
    • Reichling, M.1
  • 41
  • 42
    • 0002035316 scopus 로고
    • Constructing higher-dimensional convex hulls at logarithmic cost per face
    • R. Seidel. Constructing higher-dimensional convex hulls at logarithmic cost per face. Proc. 18th ACM Symp. on Theory of Computing, pp. 404-413, 1986.
    • (1986) Proc. 18th ACM Symp. on Theory of Computing , pp. 404-413
    • Seidel, R.1
  • 43
    • 51249172581 scopus 로고
    • Small-dimensional linear programming and convex hulls made easy
    • R. Seidel. Small-dimensional linear programming and convex hulls made easy. Discrete Comput. Geom., 6:423-434, 1991.
    • (1991) Discrete Comput. Geom. , vol.6 , pp. 423-434
    • Seidel, R.1
  • 44
    • 84990629463 scopus 로고
    • A combinatorial bound for linear programming and related problems
    • Proc. 9th Symp. on Theoretical Aspects of Computer Science, Springer-Verlag, Berlin
    • M. Sharir and E. Welzl. A combinatorial bound for linear programming and related problems. Proc. 9th Symp. on Theoretical Aspects of Computer Science, pp. 569-579. Lecture Notes in Computer Science, vol. 577. Springer-Verlag, Berlin, 1992.
    • (1992) Lecture Notes in Computer Science , vol.577 , pp. 569-579
    • Sharir, M.1    Welzl, E.2
  • 45
    • 0002448492 scopus 로고
    • Finding the convex hull facet by facet
    • G. F. Swart. Finding the convex hull facet by facet. J. Algorithms, 6:17-48, 1985.
    • (1985) J. Algorithms , vol.6 , pp. 17-48
    • Swart, G.F.1
  • 46
    • 85030869395 scopus 로고
    • Smallest enclosing disks (balls and ellipsoids)
    • H. Maurer (ed.), New Results and New Trends in Computer Science, Springer-Verlag, Berlin
    • E. Welzl. Smallest enclosing disks (balls and ellipsoids). In H. Maurer (ed.), New Results and New Trends in Computer Science, pp. 359-370. Lecture Notes in Computer Science, vol. 555. Springer-Verlag, Berlin, 1991.
    • (1991) Lecture Notes in Computer Science , vol.555 , pp. 359-370
    • Welzl, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.