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  • 标题:Torus Figure Generating System Based on Graph Theoretical Representation and Topological Analysis
  • 本地全文:下载
  • 作者:Kento TARUI ; Fangyan DONG ; Yutaka HATAKEYAMA
  • 期刊名称:知能と情報
  • 印刷版ISSN:1347-7986
  • 电子版ISSN:1881-7203
  • 出版年度:2008
  • 卷号:20
  • 期号:4
  • 页码:625-638
  • DOI:10.3156/jsoft.20.625
  • 出版社:Japan Society for Fuzzy Theory and Intelligent Informatics
  • 摘要:

    A trick art drawing system based on a torus figure generating algorithm is constructed. The proposed algorithm is based on the shapes and positions of corners of torus figures. The proposed system is able to generate an arbitrary n-bar torus type possible or impossible figure using interactive mouse-clicking operations on a figure generated from n+1 initial inputs only. It is possible to draw a trick art figure by painting each face of the obtained graph. The proposed system can serve as basic tool for experiments on visual psychology and an educational support tool for discrete mathematics classes.

  • 关键词:graph theory; knot theory; impossible figures; computer vision; visual psychology
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