Algorithms for Reporting and Counting Geometric Intersections

@article{Bentley1979AlgorithmsFR,
  title={Algorithms for Reporting and Counting Geometric Intersections},
  author={Jon Louis Bentley and Thomas Ottmann},
  journal={IEEE Transactions on Computers},
  year={1979},
  volume={C-28},
  pages={643-647}
}
  • J. Bentley, T. Ottmann
  • Published 1 September 1979
  • Computer Science, Mathematics
  • IEEE Transactions on Computers
An interesting class of "geometric intersection problems" calls for dealing with the pairwise intersections among a set of N objects in the plane, These problems arise in many applications such as printed circuit design, architectural data bases, and computer graphics. Shamos and Hoey have described a number of algorithms for detecting whether any two objects in a planar set intersect. In this paper we extend their work by giving algorithms that count the number of such intersections and… 
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