| 书目名称 | Restricted-Orientation Convexity | | 编辑 | Eugene Fink,Derick Wood | | 视频video | | | 概述 | First book on the topic | | 丛书名称 | Monographs in Theoretical Computer Science. An EATCS Series | | 图书封面 |  | | 描述 | .Restricted-orientation convexity is the study of geometric objects whose intersections with lines from some fixed set are connected. This notion generalizes standard convexity and several types of nontraditional convexity. We explore the properties of this generalized convexity in multidimensional Euclidean space, describes restricted-orientation analogs of lines, hyperplanes, flats, and halfspaces, and identify major properties of standard convex sets that also hold for restricted-orientation convexity. We then introduce the notion of strong restricted-orientation convexity, which is an alternative generalization of convexity, and show that its properties are also similar to those of standard convexity. . | | 出版日期 | Book 2004 | | 关键词 | Euclidean geometry; Generalized convexity; Higher dimensions; Theory; Visibility; algorithms; algorithm an | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-18849-7 | | isbn_softcover | 978-3-642-62323-3 | | isbn_ebook | 978-3-642-18849-7Series ISSN 1431-2654 Series E-ISSN 2193-2069 | | issn_series | 1431-2654 | | copyright | Springer-Verlag Berlin Heidelberg 2004 |
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发表于 2025-3-21 19:03:11
