Point Location in Constant Time

Fuente: arXiv
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Autori principali: Chaganti, Sairam, Han, Yijie
Natura: Preprint
Pubblicazione: 2023
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_version_ 1866917558999842816
author Chaganti, Sairam
Han, Yijie
author_facet Chaganti, Sairam
Han, Yijie
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2401_02440
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Point Location in Constant Time
Chaganti, Sairam
Han, Yijie
Computational Geometry
68W05, 68W40,
F.2.2
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.
title Point Location in Constant Time
topic Computational Geometry
68W05, 68W40,
F.2.2
url https://arxiv.org/abs/2401.02440