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  • 标题:A Lower Bound on Opaque Sets
  • 本地全文:下载
  • 作者:Akitoshi Kawamura ; Sonoko Moriyama ; Yota Otachi
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2016
  • 卷号:51
  • 页码:46:1-46:10
  • DOI:10.4230/LIPIcs.SoCG.2016.46
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:It is proved that the total length of any set of countably many rectifiable curves, whose union meets all straight lines that intersect the unit square U, is at least 2.00002. This is the first improvement on the lower bound of 2 by Jones in 1964. A similar bound is proved for all convex sets U other than a triangle.
  • 关键词:barriers; Cauchy-Crofton formula; lower bound; opaque sets
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