Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
skip to main content
10.1145/109648.109654acmconferencesArticle/Chapter ViewAbstractPublication PagessocgConference Proceedingsconference-collections
Article
Free access

Shortest path queries in rectilinear worlds of higher dimension (extended abstract)

Published: 01 June 1991 Publication History
  • Get Citation Alerts
  • First page of PDF

    References

    [1]
    Canny, J.F., The Complexity of Robot Motion Planning. ACM Doctoral Dissertation Award, MIT Press, 1987.
    [2]
    Canny, J., and J. Reif, New Lower Bound Techniques for Robot Motion Planning Problems. Proc. 29th FOCS (1987), pp. 49-60.
    [3]
    Chazelle, B., A theorem on polygon cutting with applications. Proc. 23rd FOCS (1982), pp. 339-349.
    [4]
    Chazelle, B., Triangulating a Simple Polygon in Linear Time. Proc. 31st FOCS (1990), pp. 220-230.
    [5]
    Chazelle, B., and L.J. Guibas, Fractional Cascading: I. A Data Structuring Technique. Algorithmica 1 (1986), pp. 133-162.
    [6]
    Chen, J., and Y. Han, Shortest Paths on a Polyhedron. Proc. 6th ACM Syrup. on Comp. Geom. (1990), pp. 360-369.
    [7]
    Clarkson, K., S. Kapoor, and P. Vaidya, Rectilinear Shortest Paths through Polygonal Obstacles in O(n log2 n) Time. Proc. 3rd ACM Syrup. on Comp. Geom. (1987), pp. 251-257.
    [8]
    de Berg, M., On Rectilinear Link Distance. To appear in: Comp. Geom.: Theory and Applications.
    [9]
    de Berg, M., M. van Kreveld, B. Nilsson, and M. Overmars, Finding Shortest Paths in the Presence of Orthogonal Obstacles using a Combined L ~ and Link Metric. SWAT 1990, Lect. Notes in Comp. :Science 447 (1990), pp. 213-224.
    [10]
    de Rezende, P.J., D.T. Lee, and Y.F. Wu, Rectilinear Shortest Paths with Rectangular Barriers. Discr. & Comp. Geom. 4 (1989), pp. 41-53.
    [11]
    Dijkstra, E.W., A Note on Two Problems in Connection with Graphs. Numer. Math. 1 (1959), pp. 269- 271.
    [12]
    Ke, Y., An Efficient Algorithm for Link Distance Problems. Proc. 5th ACM Syrup. on Comp. Geom. (1989), pp. 69-78.
    [13]
    Larson, R.C., and V.O. Li, Finding Minimum Rectilinear Distance Paths in the Presence of Barriers. Networks 11 (1981), pp. 285-304.
    [14]
    Lee, D.T., Proximity and Reachability in the Plane. Ph.D. Thesis, University of illinois, 1978.
    [15]
    Lee, D.T., and F.P. Preparata, Euclidean Shortest Paths in the Presence of Rectilinear Barriers. Networks 14 (1984), pp. 393-410.
    [16]
    LenharI, W., R. Pollack, J. Sack, R. Seidel, M. Sharir, S. S uri, O. Toussaint, S. Whitesides, and C. Yap, Computing the Link Center of a Simple Polygon. Proc. 3rd ACM Syrup. on Comp. Geom. (1987), pp. 1-10.
    [17]
    Mehlhom, K., Data Structures and Algorithms 3: multi-dimensional searching and computational geometry. Springer-Verlag, Berlin, 1984.
    [18]
    Mitchell, J.S.B., An Optimal Algorithm for Shortest Rectilinear Paths Among Obstacles in the Plane. Abstracts of the 1st Canad. Conf. on Comp. Geom. (1989), p. 22.
    [19]
    Mitchell, J.S.B., D.M. Mount, and C.H. Papadimitriou, The Discrete Geodesic Problem. SIAM J. Cornput. 16 (1987), pp. 647-668.
    [20]
    Mitchell, J.S.B., G. Rote and O. W0ginger, Computing the Minimum Link Path Among a Set of Obstacles in the Plane. Proc. 6th ACM Syrup. on Comp. Geom. (1990), pp. 63-72.
    [21]
    O'Rourke, J., and C. Schevon, Computing the Geodesic Diameter of a 3-Polytope. Proc. 5th ACM Syrup. on Comp. Geom. (1989), pp. 370-379.
    [22]
    Reif, J., and J.A. Storer, Shortest Paths in Euclidian Space with Polyhedral Obstacles. Techn. Rep. CS- 85-121, Comp. Science Dept., Brandeis University, Waltham, MA, 1985.
    [23]
    Shamos, M.I., Computational Geometry. Ph.D. Thesis, Yale University, New Haven, CN, 1978.
    [24]
    Sharir, M., and A. Schorr. On Shortest Paths in Polyhedral Spaces. SiAM J. Comput. 15 (1986), pp. 193- 215.
    [25]
    Suri, S., Minimum Link Paths in Polygons and Related Problems. Ph.D. Thesis, Johns Hopkins University, 1986.

    Cited By

    View all
    • (2020) Geodesic Spanners for Points in amid Axis-parallel Boxes Information Processing Letters10.1016/j.ipl.2020.106063(106063)Online publication date: Nov-2020
    • (2008)TopGen - internet router-level topology generation based on technology constraintsProceedings of the 1st international conference on Simulation tools and techniques for communications, networks and systems & workshops10.5555/1416222.1416257(1-10)Online publication date: 3-Mar-2008
    • (2005)Applications of a numbering scheme for polygonal obstacles in the planeAlgorithms and Computation10.1007/BFb0009476(1-24)Online publication date: 11-Oct-2005
    • Show More Cited By

    Recommendations

    Comments

    Information & Contributors

    Information

    Published In

    cover image ACM Conferences
    SCG '91: Proceedings of the seventh annual symposium on Computational geometry
    June 1991
    373 pages
    ISBN:0897914260
    DOI:10.1145/109648
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

    Sponsors

    Publisher

    Association for Computing Machinery

    New York, NY, United States

    Publication History

    Published: 01 June 1991

    Permissions

    Request permissions for this article.

    Check for updates

    Qualifiers

    • Article

    Conference

    SOCG91
    SOCG91: 7th Annual Symposium on Computational Geometry 1991
    June 10 - 12, 1991
    New Hampshire, North Conway, USA

    Acceptance Rates

    Overall Acceptance Rate 625 of 1,685 submissions, 37%

    Contributors

    Other Metrics

    Bibliometrics & Citations

    Bibliometrics

    Article Metrics

    • Downloads (Last 12 months)41
    • Downloads (Last 6 weeks)4

    Other Metrics

    Citations

    Cited By

    View all
    • (2020) Geodesic Spanners for Points in amid Axis-parallel Boxes Information Processing Letters10.1016/j.ipl.2020.106063(106063)Online publication date: Nov-2020
    • (2008)TopGen - internet router-level topology generation based on technology constraintsProceedings of the 1st international conference on Simulation tools and techniques for communications, networks and systems & workshops10.5555/1416222.1416257(1-10)Online publication date: 3-Mar-2008
    • (2005)Applications of a numbering scheme for polygonal obstacles in the planeAlgorithms and Computation10.1007/BFb0009476(1-24)Online publication date: 11-Oct-2005
    • (2004)New results on shortest paths in three dimensionsProceedings of the twentieth annual symposium on Computational geometry10.1145/997817.997839(124-133)Online publication date: 8-Jun-2004
    • (2003)Touring a sequence of polygonsProceedings of the thirty-fifth annual ACM symposium on Theory of computing10.1145/780542.780612(473-482)Online publication date: 9-Jun-2003
    • (2001)ON CONNECTING RED AND BLUE RECTILINEAR POLYGONAL OBSTACLES WITH NONINTERSECTING MONOTONE RECTILINEAR PATHSInternational Journal of Computational Geometry & Applications10.1142/S021819590100054711:04(373-400)Online publication date: Aug-2001
    • (1998)A sequential detailed router for huge grid graphsProceedings of the conference on Design, automation and test in Europe10.5555/368058.368167(332-339)Online publication date: 23-Feb-1998
    • (1998)A sequential detailed router for huge grid graphsProceedings Design, Automation and Test in Europe10.1109/DATE.1998.655877(332-338)Online publication date: 1998
    • (1995)Shortest path queries among weighted obstacles in the rectilinear planeProceedings of the eleventh annual symposium on Computational geometry10.1145/220279.220319(370-379)Online publication date: 1-Sep-1995

    View Options

    View options

    PDF

    View or Download as a PDF file.

    PDF

    eReader

    View online with eReader.

    eReader

    Get Access

    Login options

    Media

    Figures

    Other

    Tables

    Share

    Share

    Share this Publication link

    Share on social media