On the Calculus of Spatial Relations

Authors

Mohammad Atallah, Department of Mathematics, Faculty of Science, Tanta University, Egypt.Follow
Abd El-Mohsen Badawy, Department of Mathematics, Faculty of Science, Tanta University, Egypt.Follow

Author Country (or Countries)

Egypt.

Abstract

A logical calculus based a method is compared with topological relation of 4 Intersection Model (4-IM) of spatial regions. The first result of this paper is answer of the following question: what is the smallest formula represents the four intersection model?. The second main result, as an algebraic view, under certain conditions, the family of all relations from 9-IM using the 4-IM of two closed regions A and B are obtained.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110132

Recommended Citation

Atallah, Mohammad and El-Mohsen Badawy, Abd (2017) "On the Calculus of Spatial Relations," Applied Mathematics & Information Sciences: Vol. 11: Iss. 1, Article 32.
DOI: http://dx.doi.org/10.18576/amis/110132
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss1/32