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Fast Software for Box Intersections (2000)  (Make Corrections)  (5 citations)
Afra Zomorodian, Herbert Edelsbrunner
International Journal of Computational Geometry and Applications



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Abstract: We present a fast implementation of a hybrid algorithm for reporting box and cube intersections. Our algorithm initially takes a divide-and-conquer approach and switches to simpler algorithms for low numbers of boxes. We use our implementations as engines to solve problems about geometric primitives. We look at two such problems in the category of quality analysis of surface triangulations. General Terms box intersection, algorithms, segment tree, range tree, implementation, quanti cation,... (Update)

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BibTeX entry:   (Update)

A. Zomorodian and H. Edelsbrunner. Fast software for box intersections. In Proc. 16th Annu. ACM Sympos. Comput. Geom., pages 129--138, 2000. 7 http://citeseer.ist.psu.edu/zomorodian00fast.html   More

@article{ zomorodian02fast,
    author = "Afra Zomorodian and Herbert Edelsbrunner",
    title = "Fast Software for Box Intersections",
    journal = "International Journal of Computational Geometry and Applications",
    volume = "12",
    number = "1-2",
    pages = "143-172",
    year = "2002",
    url = "citeseer.ist.psu.edu/zomorodian00fast.html" }
Citations (may not include all citations):
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25   An optimal worst case algorithm for reporting intersections .. (context) - Bentley, Wood - 1980
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14   Merging BSP trees yield polyhedral modeling results (context) - Naylor, Amanatides et al. - 1990
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5   Multidimensional search trees used for associative searching (context) - Bentley - 1975
4   Theory and practice (context) - Knuth - 1996

Documents on the same site (http://www.cs.duke.edu/~afra/papers.html):   More
Fast Software for Box Intersections - Afra Zomorodian And (2000)   (Correct)
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Topological Persistence and Simplification - Letscher, Zomorodian (2000)   (Correct)

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