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    I/O-Efficient Algorithms for Contour Line Extraction and Planar Graph Blocking

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    vitter_1998.pdf (1.803Mb)
    Issue Date
    1998
    Author
    Agarwal, Pankaj K.
    Arge, Lars
    Murali, T. M.
    Kasturi R., Varadarajan
    Vitter, Jeffrey Scott
    Publisher
    Society for Industrial and Applied Mathematics
    Type
    Article
    Article Version
    Scholarly/refereed, publisher version
    Published Version
    http://portal.acm.org/citation.cfm?id=314691
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    Abstract
    For a polyhedral terrain C, the contour at z-coordinate h, denoted Ch, is defined to be the intersection of the plane z = h with C. In this paper, we study the contour-line extraction problem, where we want to preprocess C into a data structure so that given a query z-coordinate h, we can report Ch quickly. This is a central problem that arises in geographic information systems (GIS), where terrains are often stored as Triangular Irregular Networks (TINS). We present an I/O-optimal algorithm for this problem which stores a terrain C with N vertices using O(N/B) blocks, where B is the size of a disk block, so that for any query h, the contour ch can be computed using o(log, N + I&l/B) I/O operations, where l&l denotes the size of Ch. We also present en improved algorithm for a more general problem of blocking bounded-degree planar graphs such as TINS (i.e., storing them on disk so that any graph traversal algorithm can traverse the graph in an I/O-efficient manner), and apply it to two problms that arise in GIS.
    URI
    http://hdl.handle.net/1808/7190
    Collections
    • Distinguished Professors Scholarly Works [918]
    • Electrical Engineering and Computer Science Scholarly Works [302]
    • Provost Office Published Articles [95]
    Citation
    P. K. Agarwal, L. Arge, T. M. Murali, K. R. Varadarajan, and J. S. Vitter. “I/O-Efficient Algorithms for Contour Line Extraction and Planar Graph Blocking,” Proceedings of the 9th Annual SIAM/ACM Symposium on Discrete Algorithms (SODA ’98), San Francisco, CA, January 1998, 117–126.

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    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

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