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Author: Hidetoshi Nonaka

Affiliation: Hokkaido University, Japan

ISBN: 978-989-8111-20-3

Keyword(s): Uniform polyhedron, polyhedral graph, simulated elasticity, interactive computing, recreational mathematics.

Related Ontology Subjects/Areas/Topics: Computer Vision, Visualization and Computer Graphics ; Geometry and Modeling ; Scene and Object Modeling

Abstract: This paper presents an interactive modelling system of uniform polyhedra including regular polyhedra, semi-regular polyhedra, and intersected concave polyhedra. In our system, user can virtually “make” and “handle” them interactively. The coordinate of vertices are computed without the knowledge of faces, solids, or metric information, but only with the isomorphic graph structure. After forming a wire-frame polyhedron, the faces are detected semi-automatically through user-computer interaction. This system can be applied to recreational mathematics, computer assisted education of the graph theory, and so on.

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Paper citation in several formats:
Nonaka H. and (2008). DETECTION OF FACES IN WIRE-FRAME POLYHEDRA - Interactive Modelling of Uniform Polyhedra.In Proceedings of the Third International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2008) ISBN 978-989-8111-20-3, pages 134-137. DOI: 10.5220/0001095301340137

@conference{grapp08,
author={Hidetoshi Nonaka},
title={DETECTION OF FACES IN WIRE-FRAME POLYHEDRA - Interactive Modelling of Uniform Polyhedra},
booktitle={Proceedings of the Third International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2008)},
year={2008},
pages={134-137},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001095301340137},
isbn={978-989-8111-20-3},
}

TY - CONF

JO - Proceedings of the Third International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2008)
TI - DETECTION OF FACES IN WIRE-FRAME POLYHEDRA - Interactive Modelling of Uniform Polyhedra
SN - 978-989-8111-20-3
AU - Nonaka, H.
PY - 2008
SP - 134
EP - 137
DO - 10.5220/0001095301340137

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