Open AccessA Model for Representing and Reasoning of Topological Relations of Multiple Simple Regions
Author(s) -
Li Jian,
Wen Changji,
Yao Rujing,
Wu Lin
Publication year - 2017
Publication title -
chinese journal of electronics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.267
H-Index - 25
eISSN - 2075-5597
pISSN - 1022-4653
DOI - 10.1049/cje.2017.07.005
Subject(s) - simple (philosophy) , computer science , topology (electrical circuits) , theoretical computer science , mathematics , epistemology , combinatorics , philosophy
There are representative models for spatial topological relations of Region connection calculus and intersections model. The purpose of this paper is to study the topological relations of multiple simple regions. In this paper, the 4‐intersection matrix model is extended into a 2 n ‐intersection representative function model to represent the spatial relations of multiple simple regions. The exclusiveness and the completeness of these topological relations are proved. Moreover, this paper also gives detailed discussion on the properties and applications of this model from a special and new perspective. And the topological relations among three simple regions in this paper are applied to forecast the impact of typhoon on the specified target areas. Compared with the extended 4‐intersection model, 8‐intersection cube model is more elaborate in representing the topological relations among the three simple regions.