메뉴 건너뛰기




Volumn 9, Issue 3, 1998, Pages 129-143

Erased arrangements of lines and convex decompositions of polyhedra

Author keywords

Arrangements; Computational geometry; Convex decomposition; Horizon theorems; Polyhedra

Indexed keywords


EID: 0040843488     PISSN: 09257721     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0925-7721(97)00024-2     Document Type: Article
Times cited : (18)

References (24)
  • 3
    • 51249187489 scopus 로고
    • A theorem on arrangements of lines in the plane
    • R.J. Canham, A theorem on arrangements of lines in the plane, Israel J. Math. 7 (1969) 393-397.
    • (1969) Israel J. Math. , vol.7 , pp. 393-397
    • Canham, R.J.1
  • 4
    • 0021475092 scopus 로고
    • Convex partitions of polyhedra: A lower bound and worst-case optimal algorithm
    • B. Chazelle, Convex partitions of polyhedra: A lower bound and worst-case optimal algorithm, SIAM J. Comput. 13 (3) (1984) 488-507.
    • (1984) SIAM J. Comput. , vol.13 , Issue.3 , pp. 488-507
    • Chazelle, B.1
  • 5
    • 0021788174 scopus 로고
    • The power of geometric duality
    • B. Chazelle, L.J. Guibas, D.T. Lee, The power of geometric duality, BIT 25 (1985) 76-90.
    • (1985) BIT , vol.25 , pp. 76-90
    • Chazelle, B.1    Guibas, L.J.2    Lee, D.T.3
  • 8
    • 0001702902 scopus 로고
    • Applications of random sampling in computational geometry, II
    • K.L. Clarkson, P.W. Shor, Applications of random sampling in computational geometry, II, Discrete Comput. Geom. 4 (1989) 387-421.
    • (1989) Discrete Comput. Geom. , vol.4 , pp. 387-421
    • Clarkson, K.L.1    Shor, P.W.2
  • 9
    • 79951548297 scopus 로고
    • Triangulation and CSG representation of polyhedra with arbitrary genus
    • T.K. Dey, Triangulation and CSG representation of polyhedra with arbitrary genus, in: Proc. 7th Ann. ACM Symp. Comput. Geom., 1991, pp. 364-372.
    • (1991) Proc. 7th Ann. ACM Symp. Comput. Geom. , pp. 364-372
    • Dey, T.K.1
  • 10
    • 0027625807 scopus 로고
    • An efficient algorithm for finding the CSG representation of a simple polygon
    • D. Dobkin, L. Guibas, J. Hershberger, J. Snoeyink, An efficient algorithm for finding the CSG representation of a simple polygon, Algorithmica 10 (1993) 1-23.
    • (1993) Algorithmica , vol.10 , pp. 1-23
    • Dobkin, D.1    Guibas, L.2    Hershberger, J.3    Snoeyink, J.4
  • 12
    • 0022714544 scopus 로고
    • Constructing arrangements of lines and hyperplanes with applications
    • H. Edelsbrunner, J. O'Rourke, R. Seidel, Constructing arrangements of lines and hyperplanes with applications, SIAM J. Comput. 15 (1986) 341-363.
    • (1986) SIAM J. Comput. , vol.15 , pp. 341-363
    • Edelsbrunner, H.1    O'Rourke, J.2    Seidel, R.3
  • 13
    • 38249042198 scopus 로고
    • On the maximal number of edges of many faces in an arrangement
    • H. Edelsbrunner, E. Welzl, On the maximal number of edges of many faces in an arrangement, J. Combin. Theory Ser. A 41 (1986) 159-166.
    • (1986) J. Combin. Theory Ser. A , vol.41 , pp. 159-166
    • Edelsbrunner, H.1    Welzl, E.2
  • 14
    • 84942026338 scopus 로고
    • Primitives for the manipulation of general subdivisions and the computation of Voronoi diagrams
    • L. Guibas, J. Stolfi, Primitives for the manipulation of general subdivisions and the computation of Voronoi diagrams, ACM Trans. Graph. 4 (2) (1985) 74-123.
    • (1985) ACM Trans. Graph. , vol.4 , Issue.2 , pp. 74-123
    • Guibas, L.1    Stolfi, J.2
  • 15
    • 0026258644 scopus 로고
    • On disjoint concave chains in arrangements of pseudolines
    • D. Halperin, M. Sharir, On disjoint concave chains in arrangements of pseudolines, Inform. Process. Lett. 40 (1991) 189-192.
    • (1991) Inform. Process. Lett. , vol.40 , pp. 189-192
    • Halperin, D.1    Sharir, M.2
  • 17
    • 51249171579 scopus 로고
    • Nonlinearity of Davenport-Schinzel sequences and of generalized path compression schemes
    • S. Hart, M. Sharir, Nonlinearity of Davenport-Schinzel sequences and of generalized path compression schemes, Combinatorica 6 (1986) 151-177.
    • (1986) Combinatorica , vol.6 , pp. 151-177
    • Hart, S.1    Sharir, M.2
  • 19
    • 0028377627 scopus 로고
    • Tetrahedral mesh generation in polyhedral regions based on convex polyhedron decompositions
    • B. Joe, Tetrahedral mesh generation in polyhedral regions based on convex polyhedron decompositions, Internat. J. Numer. Methods Engrg. 37 (1994) 693-713.
    • (1994) Internat. J. Numer. Methods Engrg. , vol.37 , pp. 693-713
    • Joe, B.1
  • 21
    • 85030558383 scopus 로고
    • On the power of non-rectilinear holes
    • Springer, New York
    • A. Lingas, On the power of non-rectilinear holes, in: Proc. 9th ICALP, Lecture Notes in Computer Science 140, Springer, New York, 1982, pp. 369-383.
    • (1982) Proc. 9th ICALP, Lecture Notes in Computer Science , vol.140 , pp. 369-383
    • Lingas, A.1
  • 22
    • 33947329925 scopus 로고
    • Efficient binary space partitions for hidden-surface removal and solid modelling
    • M.S. Paterson, F.F. Yao, Efficient binary space partitions for hidden-surface removal and solid modelling, Discrete Comput. Geom. 5 (1990) 485-503.
    • (1990) Discrete Comput. Geom. , vol.5 , pp. 485-503
    • Paterson, M.S.1    Yao, F.F.2
  • 23
    • 0345655516 scopus 로고
    • On the difficulty of triangulating three-dimensional nonconvex polyhedra
    • J. Ruppert, R. Seidel, On the difficulty of triangulating three-dimensional nonconvex polyhedra, Discrete Comput. Geom. 7 (1992) 227-253.
    • (1992) Discrete Comput. Geom. , vol.7 , pp. 227-253
    • Ruppert, J.1    Seidel, R.2
  • 24
    • 0003161402 scopus 로고
    • Upper bounds on geometric permutations for convex sets
    • R. Wenger, Upper bounds on geometric permutations for convex sets, Discrete Comput. Geom. 5 (1990) 27-33.
    • (1990) Discrete Comput. Geom. , vol.5 , pp. 27-33
    • Wenger, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.