Torus Figure Generating System Based on Graph Theoretical Representation and Topological Analysis

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...

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Bibliographic Details
Published inJournal of Japan Society for Fuzzy Theory and Intelligent Informatics Vol. 20; no. 4; pp. 625 - 638
Main Authors TARUI, Kento, DONG, Fangyan, HATAKEYAMA, Yutaka, HIROTA, Kaoru
Format Journal Article
LanguageEnglish
Published Japan Society for Fuzzy Theory and Intelligent Informatics 01.01.2008
Subjects
Algorithms
computer vision
Corners
Fuzzy
Fuzzy logic
graph theory
Graphs
impossible figures
Interactive
knot theory
Mathematical analysis
Visual
visual psychology
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Summary: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.
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ISSN:1347-7986
1881-7203
1881-7203
DOI:10.3156/jsoft.20.625