LNCS 2748 Multi way Space Partitioning Trees 1st Edition by Christian Duncan ISBN 3540450785 9783540450788

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ISBN 10: 3540450785

ISBN 13: 9783540450788

Author: Christian A. Duncan 

LNCS 2748 – Multi-way Space Partitioning Trees 1st Edition: In this paper, we introduce a new data structure, the multi-way space partitioning (MSP) tree similar in nature to the standard binary space partitioning (BSP) tree. Unlike the super-linear space requirement for BSP trees, we show that for any set of disjoint line segments in the plane there exists a linear-size MSP tree completely partitioning the set. Since our structure is a deviation from the standard BSP tree construction, we also describe an application of our algorithm. We prove that the well-known Painter’s algorithm can be adapted quite easily to use our structure to run in O(n) time. More importantly, the constant factor behind our tree size is extremely small, having size less than 4n.

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