TY - JFULL AU - Jefri Marzal and Hong Xie and Chun Che Fung PY - 2011/6/ TI - Vertex Configurations and Their Relationship on Orthogonal Pseudo-Polyhedra T2 - International Journal of Computer and Information Engineering SP - 414 EP - 422 VL - 5 SN - 1307-6892 UR - https://publications.waset.org/pdf/14765 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 53, 2011 N2 - 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. ER -