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EL-REP: A New 2D Geometric Decomposition Scheme and Its Applications
September 2011 (vol. 17 no. 9)
pp. 1325-1336
Antonio J. Rueda, Universidad de Jaén, Jaén
Francisco R. Feito, Universidad de Jaén, Jaén
This work describes the EL-REP, a new 2D decomposition scheme with interesting properties and applications. The EL-REP can be computed for one or more simple polygons of any kind: convex or nonconvex, with or without holes and even with several shells. A method for constructing this decomposition is described in detail, together with several of its main applications: fast point-in-polygon inclusion test, 2D location, triangulation of polygons, and collision detection.

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Index Terms:
2D decompositions, solid modeling, geometric algorithms.
Antonio J. Rueda, Francisco R. Feito, "EL-REP: A New 2D Geometric Decomposition Scheme and Its Applications," IEEE Transactions on Visualization and Computer Graphics, vol. 17, no. 9, pp. 1325-1336, Sept. 2011, doi:10.1109/TVCG.2010.246
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