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DC Field | Value | Language |
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dc.citation.endPage | 1055 | - |
dc.citation.number | 9 | - |
dc.citation.startPage | 1042 | - |
dc.citation.title | COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS | - |
dc.citation.volume | 46 | - |
dc.contributor.author | Ahn, Hee-Kap | - |
dc.contributor.author | Bae, Sang Won | - |
dc.contributor.author | Knauer, Christian | - |
dc.contributor.author | Lee, Mira | - |
dc.contributor.author | Shin, Chan-Su | - |
dc.contributor.author | Vigneron, Antoine | - |
dc.date.accessioned | 2023-12-22T03:13:23Z | - |
dc.date.available | 2023-12-22T03:13:23Z | - |
dc.date.created | 2016-06-10 | - |
dc.date.issued | 2013-11 | - |
dc.description.abstract | Given a simple rectilinear polygon P in the xy-plane, a roof over P is a terrain over P whose faces are supported by planes through edges of P that make a dihedral angle pi/4 with the xy-plane. According to this definition, some roofs may have faces isolated from the boundary of P or even local minima, which are undesirable for several practical reasons. In this paper, we introduce realistic roofs by imposing a few additional constraints. We investigate the geometric and combinatorial properties of realistic roofs and show that the straight skeleton induces a realistic roof with maximum height and volume. We also show that the maximum possible number of distinct realistic roofs over P is ((n-4)/2 left perpendicular(n-4)/4right perpendicular) when P has n vertices. We present an algorithm that enumerates a combinatorial representation of each such roof in O (1) time per roof without repetition, after O (n(4)) preprocessing time. We also present an O (n(5))-time algorithm for computing a realistic roof with minimum height or volume. (C) 2013 Elsevier B.V. All rights reserved | - |
dc.identifier.bibliographicCitation | COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS, v.46, no.9, pp.1042 - 1055 | - |
dc.identifier.doi | 10.1016/j.comgeo.2013.06.002 | - |
dc.identifier.issn | 0925-7721 | - |
dc.identifier.scopusid | 2-s2.0-84880148173 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/19642 | - |
dc.identifier.url | http://www.sciencedirect.com/science/article/pii/S0925772113000801 | - |
dc.identifier.wosid | 000323084500004 | - |
dc.language | 영어 | - |
dc.publisher | ELSEVIER SCIENCE BV | - |
dc.title | Realistic roofs over a rectilinear polygon | - |
dc.type | Article | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
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