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Volumn 43, Issue 1, 2009, Pages 21-53

An optimal-time algorithm for shortest paths on realistic polyhedra

Author keywords

Conforming subdivision; Continuous Dijkstra; Realistic polyhedral surface; Shortest path map; Terrain; Wavefront

Indexed keywords


EID: 72249086387     PISSN: 01795376     EISSN: 14320444     Source Type: Journal    
DOI: 10.1007/s00454-009-9136-8     Document Type: Article
Times cited : (11)

References (26)
  • 1
    • 34547949769 scopus 로고
    • Computing depth orders for fat objects and related problems
    • Agarwal, P.K., Katz, M.J., Sharir, M.: Computing depth orders for fat objects and related problems. Comput. Geom. Theory Appl. 5, 187-206 (1995).
    • (1995) Comput. Geom. Theory Appl. , vol.5 , pp. 187-206
    • Agarwal, P.K.1    Katz, M.J.2    Sharir, M.3
  • 2
    • 0031175637 scopus 로고    scopus 로고
    • Approximate shortest paths on a convex polytope in three dimensions
    • Agarwal, P.K., Har-Peled, S., Sharir, M., Varadarajan, K.R.: Approximate shortest paths on a convex polytope in three dimensions. J. ACM 44, 567-584 (1997).
    • (1997) J. ACM , vol.44 , pp. 567-584
    • Agarwal, P.K.1    Har-Peled, S.2    Sharir, M.3    Varadarajan, K.R.4
  • 3
    • 33748078185 scopus 로고    scopus 로고
    • An improved approximation algorithm for computing geometric shortest paths
    • Lecture Notes in Computer Science2751, Berlin: Springer
    • Aleksandrov, L., Maheshwari, A., Sack, J.-R.: An improved approximation algorithm for computing geometric shortest paths. In: Proc. of the 14th Internat. Sympos. Fundam. Comput. Theory (FCT'03). Lecture Notes in Computer Science, vol. 2751, pp. 246-257. Springer, Berlin (2003).
    • (2003) Proc. of the 14th Internat. Sympos. Fundam. Comput. Theory (FCT'03) , pp. 246-257
    • Aleksandrov, L.1    Maheshwari, A.2    Sack, J.-R.3
  • 4
    • 52449146261 scopus 로고
    • Approximate motion planning and the complexity of the boundary of the union of simple geometric figures
    • Alt, H., Fleischer, R., Kaufmann, M., Mehlhorn, K., Näher, S., Schirra, S., Uhrig, C.: Approximate motion planning and the complexity of the boundary of the union of simple geometric figures. Algorithmica 8, 391-406 (1992).
    • (1992) Algorithmica , vol.8 , pp. 391-406
    • Alt, H.1    Fleischer, R.2    Kaufmann, M.3    Mehlhorn, K.4    Näher, S.5    Schirra, S.6    Uhrig, C.7
  • 5
    • 0030535443 scopus 로고    scopus 로고
    • Shortest paths on a polyhedron, Part I: Computing shortest paths
    • Chen, J., Han, Y.: Shortest paths on a polyhedron, Part I: Computing shortest paths. Int. J. Comput. Geom. Appl. 6, 127-144 (1996).
    • (1996) Int. J. Comput. Geom. Appl. , vol.6 , pp. 127-144
    • Chen, J.1    Han, Y.2
  • 6
    • 0006042934 scopus 로고    scopus 로고
    • Linear size binary space partitions for uncluttered scenes
    • de Berg, M.: Linear size binary space partitions for uncluttered scenes. Algorithmica 28, 353-366 (2000).
    • (2000) Algorithmica , vol.28 , pp. 353-366
    • de Berg, M.1
  • 8
    • 0032631074 scopus 로고    scopus 로고
    • Constructing approximate shortest path maps in three dimensions
    • Har-Peled, S.: Constructing approximate shortest path maps in three dimensions. SIAM J. Comput. 28(4), 1182-1197 (1999).
    • (1999) SIAM J. Comput. , vol.28 , Issue.4 , pp. 1182-1197
    • Har-Peled, S.1
  • 9
    • 0033330745 scopus 로고    scopus 로고
    • An optimal algorithm for Euclidean shortest paths in the plane
    • Hershberger, J., Suri, S.: 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
  • 11
    • 0141797211 scopus 로고    scopus 로고
    • Approximating shortest paths on weighted polyhedral surfaces
    • Lanthier, M., Maheshwari, A., Sack, J.-R.: Approximating shortest paths on weighted polyhedral surfaces. Algorithmica 30(4), 527-562 (2001).
    • (2001) Algorithmica , vol.30 , Issue.4 , pp. 527-562
    • Lanthier, M.1    Maheshwari, A.2    Sack, J.-R.3
  • 15
    • 0006577899 scopus 로고
    • On finding shortest paths on convex polyhedra
    • Univ. Maryland, College Park (October)
    • Mount, D.M.: On finding shortest paths on convex polyhedra. Technical report, Computer Science Dept., Univ. Maryland, College Park (October 1984).
    • (1984) Technical report, Computer Science Dept.
    • Mount, D.M.1
  • 16
    • 0344920842 scopus 로고
    • Storing the subdivision of a polyhedral surface
    • Mount, D.M.: Storing the subdivision of a polyhedral surface. Discrete Comput. Geom. 2, 153-174 (1987).
    • (1987) Discrete Comput. Geom. , vol.2 , pp. 153-174
    • Mount, D.M.1
  • 19
    • 40349114629 scopus 로고    scopus 로고
    • An optimal-time algorithm for shortest paths on a convex polytope in three dimensions
    • A full version available at, A preliminary version in Proc. of the 22nd Annual ACM Sympos. Comput. Geom., pp. 30-39 (2006)
    • Schreiber, Y., Sharir, M.: An optimal-time algorithm for shortest paths on a convex polytope in three dimensions. Discrete Comput. Geom. (20th anniversary special issue) 39, 500-579 (2008), A full version available at http://www.math.tau.ac.il/~michas/ShortestPath.pdf. A preliminary version in Proc. of the 22nd Annual ACM Sympos. Comput. Geom., pp. 30-39 (2006).
    • (2008) Discrete Comput. Geom. (20th anniversary special issue) , vol.39 , pp. 500-579
    • Schreiber, Y.1    Sharir, M.2
  • 20
    • 0030287041 scopus 로고    scopus 로고
    • Range searching in low-density environments
    • Schwarzkopf, O., Vleugels, J.: Range searching in low-density environments. Inf. Process. Lett. 60, 121-127 (1996).
    • (1996) Inf. Process. Lett. , vol.60 , pp. 121-127
    • Schwarzkopf, O.1    Vleugels, J.2
  • 21
    • 0023366005 scopus 로고
    • On shortest paths amidst convex polyhedra
    • Sharir, M.: 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
  • 22
    • 0022663554 scopus 로고
    • On shortest paths in polyhedral spaces
    • Sharir, M., Schorr, A.: 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
  • 23
    • 0003464628 scopus 로고
    • Motion planning amidst fat obstacles
    • Ph.D. thesis, Utrecht Univ., Utrecht, the Netherlands
    • van der Stappen, A.F.: Motion planning amidst fat obstacles. Ph.D. thesis, Dept. Comput. Sci., Utrecht Univ., Utrecht, the Netherlands (1994).
    • (1994) Dept. Comput. Sci.
    • van der Stappen, A.F.1
  • 25
    • 0000211024 scopus 로고    scopus 로고
    • On fat partitioning, fat covering, and the union size of polygons
    • van Kreveld, M.: On fat partitioning, fat covering, and the union size of polygons. Comput. Geom. Theory Appl. 9, 197-210 (1998).
    • (1998) Comput. Geom. Theory Appl. , vol.9 , pp. 197-210
    • van Kreveld, M.1
  • 26
    • 0034853038 scopus 로고    scopus 로고
    • Approximating shortest paths on a nonconvex polyhedron
    • Varadarajan, K.R., Agarwal, P.K.: Approximating shortest paths on a nonconvex polyhedron. SIAM J. Comput. 30(4), 1321-1340 (2000).
    • (2000) SIAM J. Comput. , vol.30 , Issue.4 , pp. 1321-1340
    • Varadarajan, K.R.1    Agarwal, P.K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.