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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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.
- Interdisciplinary Information Sciences
Interdisciplinary Information Sciences 11(2), 149-156, 2005
Graduate School of Information Sciences, Tohoku University