Journal article
Vertex configurations and their relationship on orthogonal pseudo-polyhedra
Proceedings of World Academy of Science, Engineering and Technology, Vol.77, pp.1-8
2011
Abstract
Vertex configuration for a vertex in an orthogonal pseudo-polyhedron is an identity of a vertex that is determined by the number of edges, dihedral angles, and non-manifold properties meeting at the vertex. There are up to sixteen vertex configurations for any orthogonal pseudo-polyhedron (OPP). Understanding the relationship between these vertex configurations will give us insight into the structure of an OPP and help us design better algorithms for many 3-dimensional geometric problems. In this paper, 16 vertex configurations for OPP are described first. This is followed by a number of formulas giving insight into the relationship between different vertex configurations in an OPP. These formulas will be useful as an extension of orthogonal polyhedra usefulness on pattern analysis in 3D-digital images.
Details
- Title
- Vertex configurations and their relationship on orthogonal pseudo-polyhedra
- Authors/Creators
- J. Marzal (Author/Creator)H. Xie (Author/Creator)C.C. Fung (Author/Creator)
- Publication Details
- Proceedings of World Academy of Science, Engineering and Technology, Vol.77, pp.1-8
- Publisher
- World Academy of Science, Engineering and Technology
- Identifiers
- 991005542933007891
- Copyright
- Licensed under a Creative Commons License
- Murdoch Affiliation
- School of Information Technology
- Language
- English
- Resource Type
- Journal article
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