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Volumn 21, Issue 2, 1999, Pages 217-231

Approximate shortest paths and geodesic diameter on a convex polytope in three dimensions

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EID: 0033482190     PISSN: 01795376     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00009417     Document Type: Article
Times cited : (31)

References (18)
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    • J. Chen and Y. Han. Shortest paths on a polyhedron; Part I: computing shortest paths. Internat. J. Comput. Geom. Appl., 6(2): 127-144, 1996.
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    • Chen, J.1    Han, Y.2
  • 6
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    • Approximation algorithms for shortest path motion planning
    • K. L. Clarkson. Approximation algorithms for shortest path motion planning. In Proc. 19th Ann. ACM Symp. Theory Comput., pages 56-65, 1987.
    • (1987) Proc. 19th Ann. ACM Symp. Theory Comput. , pp. 56-65
    • Clarkson, K.L.1
  • 7
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    • A linear algorithm for determining the separation of convex polyhedra
    • D.P. Dobkin and D. G. Kirkpatrick. A linear algorithm for determining the separation of convex polyhedra. J. Algorithms, 6:381-392, 1985.
    • (1985) J. Algorithms , vol.6 , pp. 381-392
    • Dobkin, D.P.1    Kirkpatrick, D.G.2
  • 8
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    • Determining the separation of preprocessed polyhedra - A unified approach
    • Proc. 17th Internat. Colloq. Automata Lang. Program., Springer-Verlag, Berlin
    • D. P. Dobkin and D. G. Kirkpatrick. Determining the separation of preprocessed polyhedra - a unified approach. In Proc. 17th Internat. Colloq. Automata Lang. Program., pages 400-413. Lecture Notes in Computer Science, volume 443. Springer-Verlag, Berlin, 1990.
    • (1990) Lecture Notes in Computer Science , vol.443 , pp. 400-413
    • Dobkin, D.P.1    Kirkpatrick, D.G.2
  • 9
    • 0031623106 scopus 로고    scopus 로고
    • Constructing approximate shortest path maps in three dimensions
    • to appear
    • S. Har-Peled. Constructing approximate shortest path maps in three dimensions. In Proc. 14th Ann. ACM Symp. Comput. Geom., 1998, to appear.
    • (1998) Proc. 14th Ann. ACM Symp. Comput. Geom.
    • Har-Peled, S.1
  • 10
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    • Personal communication
    • J. Hershberger. Personal communication, 1997.
    • (1997)
    • Hershberger, J.1
  • 13
    • 0022076833 scopus 로고
    • An algorithm for shortest-path motion in three dimensions
    • C. H. Papadimitriou. An algorithm for shortest-path motion in three dimensions. Inform. Process. Lett., 20:259-263, 1985.
    • (1985) Inform. Process. Lett. , vol.20 , pp. 259-263
    • Papadimitriou, C.H.1
  • 14
    • 0011676889 scopus 로고
    • Extrinsic geometry of convex surfaces
    • American Mathematical Society. Providence, RI
    • A. V. Pogorelov. Extrinsic Geometry of Convex Surfaces. Translations of Mathematical Monographs, volume 35. American Mathematical Society. Providence, RI, 1973.
    • (1973) Translations of Mathematical Monographs , vol.35
    • Pogorelov, A.V.1
  • 15
    • 0028514589 scopus 로고
    • A single-exponential upper bound for finding shortest paths in three dimensions
    • J. H. Reif and J. A. Storer. A single-exponential upper bound for finding shortest paths in three dimensions. J. Assoc. Comput. Mach., 41(5):1013-1019, 1994.
    • (1994) J. Assoc. Comput. Mach. , vol.41 , Issue.5 , pp. 1013-1019
    • Reif, J.H.1    Storer, J.A.2
  • 16
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    • On shortest paths amidst convex polyhedra
    • M. Sharir. On shortest paths amidst convex polyhedra. SIAM J. Comput., 16:561-572, 1987.
    • (1987) SIAM J. Comput. , vol.16 , pp. 561-572
    • Sharir, M.1
  • 17
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    • On shortest paths in polyhedral spaces
    • M. Sharir and A. Schorr. On shortest paths in polyhedral spaces. Siam J. Comput., 15:193-215, 1986.
    • (1986) Siam J. Comput. , vol.15 , pp. 193-215
    • Sharir, M.1    Schorr, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.