A Characterization of a Class of Anomalous Solids

• SUGIHARA Kokichi

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

Bibliographic Information

Other Title

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

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

  The Editorial Committee of the Interdisciplinary Information Sciences

Keywords

• Anomalous picture
• freedom in depth
• polyhedron
• tight component

Details

• CRID: 1390282679413043200
• NII Article ID: 110001717228
• NII Book ID: AA11032627
• DOI: 10.4036/iis.2005.149
• ISSN: 13476157
• ISSN: 13409050
• HANDLE: 10097/17322
• MRID: 2182221
• Web Site: https://tohoku.repo.nii.ac.jp/records/41603
• Text Lang: en
• Data Source:
  • JaLC
  • IRDB
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed