Binary Space Partition for Orthogonal Fat Rectangles

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Abstract

We generate a binary space partition (BSP) of size O(n log8 n) and depth O (log4 n) for n orthogonal fat rectangles in three-space, improving earlier bounds of Agarwal et al. We also give a lower bound construction showing that the size of an orthogonal BSP for these objects is Ω (n log n) in the worst case. © Springer-Verlag 2003.

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Tóth, C. D. (2003). Binary Space Partition for Orthogonal Fat Rectangles. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2832, 494–505. https://doi.org/10.1007/978-3-540-39658-1_45

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