Title
Representation for topological relations of four simple regions.
Abstract
The purpose of this paper is to study the topological relations of four simple regions. We extend 4-intersection matrix model to 16-intersections matrix model to represent the spatial relations of four simple regions, and prove that these topological relations are exclusive and complete. Moreover, we obtained 32406 topological relations in practice by programs, and we illustrate that the 16-intersections matrix model has stronger expressive ability than the topological relations given by RCC-5 in pairs. © 2012 IEEE.
Year
DOI
Venue
2012
10.1109/FSKD.2012.6233887
FSKD
Keywords
Field
DocType
16-intersections matrix model,rcc5,simple regions,topological relations,solid modeling,spatial reasoning,matrix decomposition,cognition,calculus,vectors,spatial relation
Spatial relation,Topological algebra,Topology,Spatial intelligence,Matrix model,Logical matrix,Algebra,Matrix algebra,Topological ring,Mathematics,Homeomorphism
Conference
Volume
Issue
Citations 
null
null
0
PageRank 
References 
Authors
0.34
7
3
Name
Order
Citations
PageRank
Jian Li1222.78
Jihong OuYang29415.66
Zhenxin Wang3124.28