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arXiv · 1309.7803

Near Optimal Line Segment Weak Visibility Queries in Simple Polygons

Mojtaba Nouri Bygi·Mohammad Ghodsi
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Abstract

This paper considers the problem of computing the weak visibility polygon (WVP) of any query line segment pq (or WVP(pq)) inside a given simple polygon P. We present an algorithm that preprocesses P and creates a data structure from which WVP(pq) is efficiently reported in an output sensitive manner. Our algorithm needs O(n^2 log n) time and O(n^2) space in the preprocessing phase to report WVP(pq) of any query line segment pq in time O(log^2 n + |WVP(pq)|). We improve the preprocessing time and space of current results for this problem at the expense of more query time.

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Mojtaba Nouri Bygi, Mohammad Ghodsi. 2013-09-30. Near Optimal Line Segment Weak Visibility Queries in Simple Polygons. https://arxiv.org/abs/1309.7803

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