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arXiv · 2401.02440

Point Location in Constant Time

Sairam Chaganti·Yijie Han
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Abstract

We preprocess the input subdivision with $n$ points on the plane in $O(n\sqrt{\log n})$ time to facilitate point location in constant time. Previously the preprocessing time is $O(n\log n)$ and point location takes $O(\log n)$ time.

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Sairam Chaganti, Yijie Han. 2023-12-21. Point Location in Constant Time. https://arxiv.org/abs/2401.02440

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