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Algorithms for Reporting and Counting Geometric Intersections
September 1979 (vol. 28 no. 9)
pp. 643-647
| ASCII Text | x | ||
| J.L. Bentley, T.A. Ottmann, "Algorithms for Reporting and Counting Geometric Intersections," IEEE Transactions on Computers, vol. 28, no. 9, pp. 643-647, September, 1979. | |||
| BibTex | x | ||
| @article{ 10.1109/TC.1979.1675432, author = {J.L. Bentley and T.A. Ottmann}, title = {Algorithms for Reporting and Counting Geometric Intersections}, journal ={IEEE Transactions on Computers}, volume = {28}, number = {9}, issn = {0018-9340}, year = {1979}, pages = {643-647}, doi = {http://doi.ieeecomputersociety.org/10.1109/TC.1979.1675432}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, } | |||
| RefWorks Procite/RefMan/Endnote | x | ||
| TY - JOUR JO - IEEE Transactions on Computers TI - Algorithms for Reporting and Counting Geometric Intersections IS - 9 SN - 0018-9340 SP643 EP647 EPD - 643-647 A1 - J.L. Bentley, A1 - T.A. Ottmann, PY - 1979 KW - geometric intersection problems KW - Computational geometry VL - 28 JA - IEEE Transactions on Computers ER - | |||
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.
Index Terms:
geometric intersection problems, Computational geometry
Citation:
J.L. Bentley, T.A. Ottmann, "Algorithms for Reporting and Counting Geometric Intersections," IEEE Transactions on Computers, vol. 28, no. 9, pp. 643-647, Sept. 1979, doi:10.1109/TC.1979.1675432
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