Title :
Topological invariants for lines
Author :
Clementini, Eliseo ; Felice, Paolino Di
Author_Institution :
Dept. of Electr. Eng., l´´Aquila Univ., Italy
Abstract :
A set of topological invariants for relations between lines embedded in the 2-dimensional Euclidean space is given. The set of invariants is proven to be necessary and sufficient to characterize topological equivalence classes of binary relations between simple lines. The topology of arbitrarily complex geometric scenes is described with a variation of the same set of invariants. Polynomial time algorithms are given to assess topological equivalence of two scenes. Invariants and efficient algorithms is due to application areas of spatial database systems where a model for describing topological relations between planar features is sought
Keywords :
computational geometry; equivalence classes; topology; visual databases; Euclidean space; geometric scenes; lines; spatial database systems; topological equivalence classes; topological invariants; topological relations; Application software; Data models; Data visualization; Geographic Information Systems; Information systems; Layout; Space technology; Spatial databases; Topology; Visual databases;
Journal_Title :
Knowledge and Data Engineering, IEEE Transactions on
