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Practical Techniques for Constructing Binary Space Partitions for Orthogonal Rectangles

P. K. Agarwal, T. M. Murali, and J. S. Vitter. ``Practical Techniques for Constructing Binary Space Partitions for Orthogonal Rectangles,'' Proceedings of the 13th Annual Symposium on Computational Geometry (SoCG'97), Nice, France, June 1997, 382-384.

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We present the first systematic comparison of the performance of algorithms that construct Binary Space Partitions for orthogonal rectangles in three-dimensional Euclidean space. We compare known algorithms with our implementation of a variant of a recent algorithm of Agarwal et al. We show via an empirical study that their algorithm constructs BSPs of near-linear size in practice and performs better than most of the other algorithms in the literature.



Jeff Vitter
2009-11-09