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Algorithms for Reporting and Counting Geometric Intersections

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2 Author(s)
Bentley, J.L. ; Departments of Computer Science and Mathematics, Carnegie-Mellon University ; Ottmann, T.A.

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 algorithms that report all such intersections.

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Computers, IEEE Transactions on  (Volume:C-28 ,  Issue: 9 )