A combinatorial 3-coordinate system for the face centered cubic grid

作者: Lidija Comic , Benedek Nagy

DOI: 10.1109/ISPA.2015.7306076

关键词:

摘要: A new combinatorial 3-coordinate system for cells in the face centered cubic grid is presented, and some of its properties are detailed. Three independent coordinates used to address voxels (rhombic dodecahedra), their faces (rhombs), edges points at corners. The incidence (boundary co-boundary) adjacency relations between can easily be captured by these coordinate values. effectively applied various image processing morphological topological operations.

参考文章(17)
Robin Strand, Benedek Nagy, Weighted neighborhood sequences in non-standard three-dimensional grids: parameter optimization international workshop on combinatorial image analysis. pp. 51- 62 ,(2008) , 10.1007/978-3-540-78275-9_5
Robin Strand, Benedek Nagy, Weighted Neighbourhood Sequences in Non-Standard Three-Dimensional Grids – Metricity and Algorithms Discrete Geometry for Computer Imagery. pp. 201- 212 ,(2008) , 10.1007/978-3-540-79126-3_19
Benedek Nagy, Robin Strand, A Connection between Z n and Generalized Triangular Grids international symposium on visual computing. pp. 1157- 1166 ,(2008) , 10.1007/978-3-540-89646-3_115
Benedek Nagy, Cellular Topology on the Triangular Grid Combinatorial Image Analaysis. pp. 143- 153 ,(2012) , 10.1007/978-3-642-34732-0_11
Gabor T. Herman, Geometry of digital spaces ,(1998)
Robin Strand, Benedek Nagy, Path-based distance functions in n-dimensional generalizations of the face- and body-centered cubic grids Discrete Applied Mathematics. ,vol. 157, pp. 3386- 3400 ,(2009) , 10.1016/J.DAM.2009.02.008
Jean Cousty, Gilles Bertrand, Michel Couprie, Laurent Najman, Collapses and Watersheds in Pseudomanifolds of Arbitrary Dimension Journal of Mathematical Imaging and Vision. ,vol. 50, pp. 261- 285 ,(2014) , 10.1007/S10851-014-0498-Z
Efim Khalimsky, Ralph Kopperman, Paul R. Meyer, Computer graphics and connected topologies on finite ordered sets Topology and its Applications. ,vol. 36, pp. 1- 17 ,(1990) , 10.1016/0166-8641(90)90031-V