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arXiv · 1603.07401

Recognizing Weakly Simple Polygons

Hugo Akitaya·Greg Aloupis·Jeff Erickson·Csaba D. Tóth
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Abstract

We present an $O(n\log n)$-time algorithm that determines whether a given planar $n$-gon is weakly simple. This improves upon an $O(n^2\log n)$-time algorithm by Chang, Erickson, and Xu (2015). Weakly simple polygons are required as input for several geometric algorithms. As such, how to recognize simple or weakly simple polygons is a fundamental question.

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Hugo Akitaya, Greg Aloupis, Jeff Erickson, Csaba D. Tóth. 2016-03-24. Recognizing Weakly Simple Polygons. https://arxiv.org/abs/1603.07401

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