There are no files associated with this item.
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.citation.conferencePlace | PE | - |
dc.citation.conferencePlace | Arequipa | - |
dc.citation.endPage | 12 | - |
dc.citation.startPage | 1 | - |
dc.citation.title | LATIN 2012 (10th Latin American Symposium on Theoretical Informatics) | - |
dc.contributor.author | Ahn, Hee-Kap | - |
dc.contributor.author | Bae, Sang Won | - |
dc.contributor.author | Cheong, Otfried | - |
dc.contributor.author | Gudmundsson, Joachim | - |
dc.contributor.author | Tokuyama, Takeshi | - |
dc.contributor.author | Vigneron, Antoine | - |
dc.date.accessioned | 2023-12-20T02:08:03Z | - |
dc.date.available | 2023-12-20T02:08:03Z | - |
dc.date.created | 2016-06-21 | - |
dc.date.issued | 2012-04-17 | - |
dc.description.abstract | We consider the following geometric alignment problem: Given a set of line segments in the plane, find a convex region of smallest area that contains a translate of each input segment. This can be seen as a generalization of Kakeya's problem of finding a convex region of smallest area such that a needle can be turned through 360 degrees within this region. Our main result is an optimal Θ(n log n)-time algorithm for our geometric alignment problem, when the input is a set of n line segments. We also show that, if the goal is to minimize the perimeter of the region instead of its area, then the optimum placement is when the midpoints of the segments coincide. Finally, we show that for any compact convex figure G, the smallest enclosing disk of G is a smallest-perimeter region containing a translate of any rotated copy of G. | - |
dc.identifier.bibliographicCitation | LATIN 2012 (10th Latin American Symposium on Theoretical Informatics), pp.1 - 12 | - |
dc.identifier.doi | 10.1007/978-3-642-29344-3_1 | - |
dc.identifier.issn | 0302-9743 | - |
dc.identifier.scopusid | 2-s2.0-84860821535 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/34439 | - |
dc.identifier.url | https://link.springer.com/chapter/10.1007%2F978-3-642-29344-3_1 | - |
dc.language | 영어 | - |
dc.publisher | Universidad Católica San Pablo | - |
dc.title | A generalization of the convex Kakeya problem | - |
dc.type | Conference Paper | - |
dc.date.conferenceDate | 2012-04-16 | - |
Items in Repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Tel : 052-217-1404 / Email : scholarworks@unist.ac.kr
Copyright (c) 2023 by UNIST LIBRARY. All rights reserved.
ScholarWorks@UNIST was established as an OAK Project for the National Library of Korea.