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Computational Geometry: Generalized Intersection Searching  (Make Corrections)  
Prosenjit Gupta, Ravi Janardan, Michiel Smid



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Abstract: e updates more eciently than simply recomputing the data structure from scratch after each update, while simultaneously maintaining fast query response times. We call these problems standard intersection searching problems in order to distinguish them from the generalized intersection searching problems that are the focus of this chapter. Due to their numerous applications, standard intersection searching problems have been the subject of much study and ecient solutions have been devised for... (Update)

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BibTeX entry:   (Update)

@misc{ gupta-computational,
  author = "Prosenjit Gupta and Ravi Janardan and Michiel Smid",
  title = "Computational Geometry: Generalized Intersection Searching",
  url = "citeseer.ist.psu.edu/599118.html" }
Citations (may not include all citations):
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229   Computational Geometry: Algorithms and Applications (context) - de Berg, van Kreveld et al. - 2000
133   Geometric range searching and its relatives - Agarwal, Erickson - 1999
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59   External memory algorithms and data structures: dealing with.. - Vitter - 2001
38   Adding range restriction capability to dynamic data structur.. (context) - Willard, Lueker - 1985
18   Ecient partition trees (context) - Matou - 1992
17   On ray shooting in convex polytopes (context) - Matou, Schwarzkopf - 1993
14   Generalized intersection searching problems (context) - Janardan, Lopez - 1993
11   Range searching with ecient hierarchical cuttings (context) - Matou - 1993
11   Further results on generalized intersection searching proble.. (context) - Gupta, Janardan et al. - 1995
11   Algorithms for ray-shooting and intersection searching (context) - Cheng, Janardan - 1992
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5   New Results on Data Structures in Computational Geometry (context) - van Kreveld - 1992
5   Polygon and connected component intersection searching (context) - Agarwal, van Kreveld - 1996
5   New results on intersection query problems (context) - Bozanis, Kitsios et al. - 1997
4   Ecient algorithms for counting and reporting pairwise inters.. (context) - Gupta, Janardan et al. - 1999
3   New upper bounds for generalized intersection searching prob.. (context) - Bozanis, Kitsios et al. - 1995
3   Algorithms for generalized halfspace range searching and oth.. (context) - Gupta, Janardan et al. - 1996
2   Range searching in categorical data: Colored range searching.. (context) - Agarwal, Govindarajan et al. - 2002
1   Red-blue intersection reporting for objects of non-constant .. (context) - Bozanis, Kitsios et al. - 1996
1   Two-dimensional substring indexing - Ferragina, Koudas et al. - 2001
1   Ecient algorithms and data structures for geometric intersec.. (context) - Gupta - 1995
1   Ecient dynamic algorithms for some geometric intersection pr.. (context) - Cheng, Janardan - 1990
1   Reporting intersecting pairs of convex polytopes in two and .. (context) - Agarwal, de Berg et al. - 2002
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1   Ecient algorithms for document retrieval problems (context) - Muthukrishnan - 2002

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