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arXiv · 1212.6039

Weak Visibility Queries of Line Segments in Simple Polygons

Danny Z. Chen·Haitao Wang
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Abstract

Given a simple polygon P in the plane, we present new algorithms and data structures for computing the weak visibility polygon from any query line segment in P. We build a data structure in O(n) time and O(n) space that can compute the visibility polygon for any query line segment s in O(k log n) time, where k is the size of the visibility polygon of s and n is the number of vertices of P. Alternatively, we build a data structure in O(n^3) time and O(n^3) space that can compute the visibility polygon for any query line segment in O(k + log n) time.

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Danny Z. Chen, Haitao Wang. 2012-12-25. Weak Visibility Queries of Line Segments in Simple Polygons. https://arxiv.org/abs/1212.6039

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