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Title: Implementation of linear minimum area enclosing traingle algorithm
Authors: Gilbert, D
Parvu, O
Keywords: Minimum area triangle;Benchmark;Convex polygon;Rotating caliper;Computational geometry
Issue Date: 2016
Publisher: Sociedade Brasileira de Matemática Aplicada e Computacional
Citation: Computational and Applied Mathematics, 35(2): pp. 423–438, (2016)
Abstract: An algorithm which computes the minimum area triangle enclosing a convex polygon in linear time already exists in the literature. The paper describing the algorithm also proves that the provided solution is optimal and a lower complexity sequential algorithm cannot exist. However, only a high-level description of the algorithm was provided, making the implementation difficult to reproduce. The present note aims to contribute to the field by providing a detailed description of the algorithm which is easy to implement and reproduce, and a benchmark comprising 10,000 variable sized, randomly generated convex polygons for illustrating the linearity of the algorithm.
Description: This article has been made available through the Brunel Open Access Publishing Fund.
ISSN: 2238-3603
Appears in Collections:Publications
Brunel OA Publishing Fund

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