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Volumn , Issue , 2004, Pages 124-133

New results on shortest paths in three dimensions

Author keywords

Motion planning; NP hardness; Shortest path; Terrain

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; COMPUTATIONAL METHODS; GRAPH THEORY; MOTION PLANNING; PROBLEM SOLVING; SET THEORY;

EID: 4544228683     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/997817.997839     Document Type: Conference Paper
Times cited : (55)

References (22)
  • 1
    • 0022175933 scopus 로고
    • The algebraic complexity of shortest paths in polyhedral spaces
    • C. Bajaj. The algebraic complexity of shortest paths in polyhedral spaces. In Proc. 23rd Allerton Conf. Commun. Control Comput., pages 510-517, 1985.
    • (1985) Proc. 23rd Allerton Conf. Commun. Control Comput. , pp. 510-517
    • Bajaj, C.1
  • 2
    • 0041062256 scopus 로고
    • The algebraic degree of geometric optimization problems
    • C. Bajaj. The algebraic degree of geometric optimization problems. Discrete Comput. Geom., 3:177-191, 1988.
    • (1988) Discrete Comput. Geom. , vol.3 , pp. 177-191
    • Bajaj, C.1
  • 6
    • 0031536262 scopus 로고    scopus 로고
    • Approximate euclidean shortest paths in 3-space
    • Aug.
    • J. Choi, J. Sellen, and C. K. Yap. Approximate Euclidean shortest paths in 3-space. Internat. J. Comput. Geom. Appl., 7(4):271-295, Aug. 1997.
    • (1997) Internat. J. Comput. Geom. Appl. , vol.7 , Issue.4 , pp. 271-295
    • Choi, J.1    Sellen, J.2    Yap, C.K.3
  • 8
  • 12
    • 4544228843 scopus 로고
    • Path planning in the presence of vertical obstacles
    • Computer Science, University of Texas at Dallas
    • L. Gewali, S. Ntafos, and I. G. Tollis. Path planning in the presence of vertical obstacles. Technical report, Computer Science, University of Texas at Dallas, 1989.
    • (1989) Technical Report
    • Gewali, L.1    Ntafos, S.2    Tollis, I.G.3
  • 13
    • 0031623106 scopus 로고    scopus 로고
    • Constructing approximate shortest path maps in three dimensions
    • S. Har-Peled. Constructing approximate shortest path maps in three dimensions. In Proc. 14th Annu. ACM Sympos. Comput. Geom., pages 383-391, 1998.
    • (1998) Proc. 14th Annu. ACM Sympos. Comput. Geom. , pp. 383-391
    • Har-Peled, S.1
  • 14
    • 0033330745 scopus 로고    scopus 로고
    • An optimal algorithm for euclidean shortest paths in the plane
    • J. Hershberger and S. Suri. An optimal algorithm for Euclidean shortest paths in the plane. SIAM J. Comput., 28(6):2215-2256, 1999.
    • (1999) SIAM J. Comput. , vol.28 , Issue.6 , pp. 2215-2256
    • Hershberger, J.1    Suri, S.2
  • 16
    • 0003504146 scopus 로고
    • An optimal algorithm for shortest rectilinear paths among obstacles
    • J. S. B. Mitchell. An optimal algorithm for shortest rectilinear paths among obstacles. In Abstracts 1st Canad. Conf. Comput. Geom., page 22, 1989.
    • (1989) Abstracts 1st Canad. Conf. Comput. Geom. , vol.22
    • Mitchell, J.S.B.1
  • 17
    • 33747080152 scopus 로고
    • 1 shortest paths among polygonal obstacles in the plane
    • 1 shortest paths among polygonal obstacles in the plane. Algorithmica, 8:55-88, 1992.
    • (1992) Algorithmica , vol.8 , pp. 55-88
    • Mitchell, J.S.B.1
  • 18
    • 0002699335 scopus 로고    scopus 로고
    • Shortest paths and networks
    • J. E. Good-man and J. O'Rourke, editors, chapter 24. CRC Press
    • J. S. B. Mitchell. Shortest paths and networks. In J. E. Good-man and J. O'Rourke, editors, Handbook of Discrete and Computational Geometry, chapter 24, pages 445-466. CRC Press, 1997.
    • (1997) Handbook of Discrete and Computational Geometry , pp. 445-466
    • Mitchell, J.S.B.1
  • 19
    • 0002008783 scopus 로고    scopus 로고
    • Geometric shortest paths and network optimization
    • J.-R. Sack and J. Urrutia, eds. Elsevier Science Publishers
    • J. S. B. Mitchell. Geometric shortest paths and network optimization. In J.-R. Sack and J. Urrutia, eds, Handbook of Computational Geometry, pages 633-701. Elsevier Science Publishers, 2000.
    • (2000) Handbook of Computational Geometry , pp. 633-701
    • Mitchell, J.S.B.1
  • 21
    • 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
  • 22
    • 0023366005 scopus 로고
    • 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.