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arXiv · 2111.07304

Area-Optimal Simple Polygonalizations: The CG Challenge 2019

Erik D. Demaine·Sándor P. Fekete·Phillip Keldenich·Dominik Krupke·Joseph S. B. Mitchell
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Abstract

We give an overview of theoretical and practical aspects of finding a simple polygon of minimum (Min-Area) or maximum (Max-Area) possible area for a given set of n points in the plane. Both problems are known to be NP-hard and were the subject of the 2019 Computational Geometry Challenge, which presented the quest of finding good solutions to more than 200 instances, ranging from n = 10 all the way to n = 1, 000, 000.

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Erik D. Demaine, Sándor P. Fekete, Phillip Keldenich, Dominik Krupke, Joseph S. B. Mitchell. 2021-11-14. Area-Optimal Simple Polygonalizations: The CG Challenge 2019. https://arxiv.org/abs/2111.07304

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