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A fast and efficient algorithm for determining the connected orthogonal convex hulls

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The Quickhull algorithm for determining the convex hull of a finite set of points was independently conducted by Eddy in 1977 and Bykat in 1978. Inspired by the idea of this algorithm, we present a new efficient algorithm, for determining the connected orthogonal convex hull of a finite set of points through extreme points of the hull, that still keeps advantages of the Quickhull algorithm. Consequently, our algorithm runs faster than the others (the algorithms introduced by Montuno and Fournier in 1982 and by An, Huyen and Le in 2020). We also show that the expected complexity of the algorithm is O(n log n), where n is the number of points. (C) 2022 Elsevier Inc. All rights reserved.

Orthogonal convex hullsQuickhull algorithmOrthogonal convex setsOrthogonal polygonsx - y convex hullsExtreme pointsSET

Nguyen Kieu Linh、Phan Thanh An、Tran Van Hoai

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Posts & Telecommun Inst Technol

Ho Chi Minh City Univ Technol HCMUT

2022

Applied mathematics and computation

Applied mathematics and computation

EISCI
ISSN:0096-3003
年,卷(期):2022.429
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