A Characterization of a Class of Anomalous Solids (Special Issue on Mathematical Aspects of Image Processing and Computer Vision) A Characterization of a Class of Anomalous Solids

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Author(s)

    • SUGIHARA Kokichi
    • Department of Mathematical Informatics, Graduate School of Information Science and Technology, University of Tokyo

Abstract

Objects represented by anomalous pictures are usually considered unrealizable in a three-dimensional space, but some of them are actually realizable. This paper characterizes a class of realizable anomalous pictures from a mathematical point of view. Distribution of degrees of freedom in the choice of depths of the vertices of a polyhedron represented by a picture is studied, and a decomposition of a polyhedron into components with the minimum degrees of freedom is proposed. According to this decomposition, a class of realizable anomalous pictures is characterized.

Journal

  • Interdisciplinary Information Sciences

    Interdisciplinary Information Sciences 11(2), 149-156, 2005

    Graduate School of Information Sciences, Tohoku University

Codes

  • NII Article ID (NAID)
    110001717228
  • NII NACSIS-CAT ID (NCID)
    AA11032627
  • Text Lang
    ENG
  • Article Type
    departmental bulletin paper
  • ISSN
    1340-9050
  • Data Source
    NII-ELS  IR  J-STAGE 
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