메뉴 건너뛰기




Volumn , Issue , 2007, Pages 319-326

On the exact maximum complexity of Minkowski sums of convex polyhedra

Author keywords

Complexity; Convex; Minkowski sum; Polyhedra

Indexed keywords

MATHEMATICAL MODELS; NUMBER THEORY; NUMERICAL METHODS; THEOREM PROVING;

EID: 35348861803     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1247069.1247126     Document Type: Conference Paper
Times cited : (5)

References (18)
  • 1
    • 31244436999 scopus 로고    scopus 로고
    • Polygon decomposition for efficient construction of Minkowski sums
    • P. K. Agarwal, E. Flato, and D. Halperin. Polygon decomposition for efficient construction of Minkowski sums. Comput. Geom. Theory Appl., 21:39-61, 2002.
    • (2002) Comput. Geom. Theory Appl , vol.21 , pp. 39-61
    • Agarwal, P.K.1    Flato, E.2    Halperin, D.3
  • 3
    • 23044526476 scopus 로고    scopus 로고
    • An efficient algorithm to calculate the Minkowski sum of convex 3D polyhedra
    • Springer-Verlag
    • H. Bekker and J. B. T. M. Roerdink. An efficient algorithm to calculate the Minkowski sum of convex 3D polyhedra. In Proc. of the Int. Conf. on Comput. Sci.-Part I, pages 619-628. Springer-Verlag, 2001.
    • (2001) Proc. of the Int. Conf. on Comput. Sci.-Part I , pp. 619-628
    • Bekker, H.1    Roerdink, J.B.T.M.2
  • 5
    • 0022583378 scopus 로고
    • Determining the minimum translational distance between two convex polyhedra
    • S. A. Cameron and R. K. Culley. Determining the minimum translational distance between two convex polyhedra. In Proc. of IEEE Int. Conf. Robot. Auto., pages 591-596, 1986.
    • (1986) Proc. of IEEE Int. Conf. Robot. Auto , pp. 591-596
    • Cameron, S.A.1    Culley, R.K.2
  • 6
    • 33646845824 scopus 로고    scopus 로고
    • Exact and efficient construction of Minkowski sums of convex polyhedra with applications
    • E. Fogel and D. Halperin. Exact and efficient construction of Minkowski sums of convex polyhedra with applications. In Proc. 8th Workshop Alg. Eng. Exper. (Alenex'06), 2006.
    • (2006) Proc. 8th Workshop Alg. Eng. Exper. (Alenex'06)
    • Fogel, E.1    Halperin, D.2
  • 7
    • 4344711578 scopus 로고    scopus 로고
    • From the zonotope construction to the Minkowski addition of convex polytopes
    • K. Fukuda. From the zonotope construction to the Minkowski addition of convex polytopes. Journal of Symbolic Computation, 38(4):1261-1272, 2004.
    • (2004) Journal of Symbolic Computation , vol.38 , Issue.4 , pp. 1261-1272
    • Fukuda, K.1
  • 9
    • 0027634404 scopus 로고
    • A unified computational framework for Minkowski operations
    • P. K. Ghosh. A unified computational framework for Minkowski operations. Comp. Graph., 17(4):357-378, 1993.
    • (1993) Comp. Graph , vol.17 , Issue.4 , pp. 357-378
    • Ghosh, P.K.1
  • 10
    • 0142152692 scopus 로고    scopus 로고
    • Boolean operations on 3D selective Nef complexes: Data structure, algorithms, and implementation
    • Proc. 11th Annu. Euro. Sympos. Alg, of, Springer-Verlag
    • M. Granados, P. Hachenberger, S. Hert, L. Kettner, K. Mehlhorn, and M. Seel. Boolean operations on 3D selective Nef complexes: Data structure, algorithms, and implementation. In Proc. 11th Annu. Euro. Sympos. Alg., volume 2832 of LNCS, pages 174-186. Springer-Verlag, 2003.
    • (2003) LNCS , vol.2832 , pp. 174-186
    • Granados, M.1    Hachenberger, P.2    Hert, S.3    Kettner, L.4    Mehlhorn, K.5    Seel, M.6
  • 11
    • 0001734192 scopus 로고
    • Minkowski addition of polytopes: Computational complexity and applications to Gröbner bases
    • P. Gritzmann and B. Sturmfels. Minkowski addition of polytopes: Computational complexity and applications to Gröbner bases. SIAM J. Disc. Math, 6(2):246-269, 1993.
    • (1993) SIAM J. Disc. Math , vol.6 , Issue.2 , pp. 246-269
    • Gritzmann, P.1    Sturmfels, B.2
  • 14
    • 84967712803 scopus 로고
    • A characterization of convex hyperbolic polyhedra and of convex polyhedra inscribed in the sphere
    • C. D. Hodgson, I. Rivin, and W. D. Smith. A characterization of convex hyperbolic polyhedra and of convex polyhedra inscribed in the sphere. Bull. (New Series) of the AMS, 27:246-251, 1992.
    • (1992) Bull. (New Series) of the AMS , vol.27 , pp. 246-251
    • Hodgson, C.D.1    Rivin, I.2    Smith, W.D.3
  • 15
    • 0002752395 scopus 로고
    • Solid-interpolation deformations: Construction and animation of PIPs
    • A. Kaul and J. Rossignac. Solid-interpolation deformations: Construction and animation of PIPs. In Eurographics'91, pages 493-505, 1991.
    • (1991) Eurographics'91 , pp. 493-505
    • Kaul, A.1    Rossignac, J.2
  • 16
    • 3042545450 scopus 로고    scopus 로고
    • Collision and proximity queries
    • J. E. Goodman and J. O'Rourke, editors, 2nd Edition, chapter 35, CRC
    • M. C. Lin and D. Manocha. Collision and proximity queries. In J. E. Goodman and J. O'Rourke, editors, Handbook of Discrete and Computational Geometry, 2nd Edition, chapter 35, pages 787-807. CRC, 2004.
    • (2004) Handbook of Discrete and Computational Geometry , pp. 787-807
    • Lin, M.C.1    Manocha, D.2
  • 17
    • 20744432838 scopus 로고    scopus 로고
    • Algorithmic motion planning
    • J. E. Goodman and J. O'Rourke, editors, 2nd Edition, chapter 47, CRC
    • M. Sharir. Algorithmic motion planning. In J. E. Goodman and J. O'Rourke, editors, Handbook of Discrete and Computational Geometry, 2nd Edition, chapter 47, pages 1037-1064. CRC, 2004.
    • (2004) Handbook of Discrete and Computational Geometry , pp. 1037-1064
    • Sharir, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.