DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choi, Yujin | - |
dc.contributor.author | Lee, Seungjun | - |
dc.contributor.author | Ahn, Hee-Kap | - |
dc.date.accessioned | 2021-06-11T22:50:03Z | - |
dc.date.available | 2021-06-11T22:50:03Z | - |
dc.date.created | 2021-01-12 | - |
dc.date.issued | 2021-03 | - |
dc.identifier.issn | 0925-7721 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/106643 | - |
dc.description.abstract | We study the problem of finding maximum-area and maximum-perimeter rectangles that are inscribed in polygons in the plane. There has been a fair amount of work on this problem when the rectangles have to be axis-aligned or when the polygons are convex. We consider this problem in polygons with n vertices that are not necessarily convex, possibly with holes, and with no restriction on the orientation of the rectangles. We present an algorithm that computes a maximum-area rectangle and a maximum-perimeter rectangle in O (n(3) log n) time using O (kn(2) + n) space, where k is the number of reflex vertices of the polygon. Our algorithm can report all maximum-area rectangles in the same time using O (n(3)) space. We also present a simple algorithm that finds a maximum-area rectangle inscribed in a convex polygon with n vertices in O (n(3)) time using O(n) space. (c) 2020 Elsevier B.V. All rights reserved. | - |
dc.language | English | - |
dc.publisher | Elsevier BV | - |
dc.relation.isPartOf | Computational Geometry: Theory and Applications | - |
dc.title | Maximum-area and maximum-perimeter rectangles in polygons | - |
dc.type | Article | - |
dc.identifier.doi | 10.1016/j.comgeo.2020.101710 | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | Computational Geometry: Theory and Applications, v.94 | - |
dc.identifier.wosid | 000595171100002 | - |
dc.citation.title | Computational Geometry: Theory and Applications | - |
dc.citation.volume | 94 | - |
dc.contributor.affiliatedAuthor | Ahn, Hee-Kap | - |
dc.identifier.scopusid | 2-s2.0-85091647915 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.type.docType | Article | - |
dc.subject.keywordPlus | CONVEX | - |
dc.subject.keywordPlus | PLACEMENT | - |
dc.subject.keywordPlus | RAY | - |
dc.subject.keywordAuthor | Maximum-area rectangle | - |
dc.subject.keywordAuthor | Largest rectangle | - |
dc.subject.keywordAuthor | Simple polygon | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
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