Topological Relations between Random Areal Objects within GIS

ABSTRACT There is inevitably error or uncertainty in spatial data, which are used to represent reality world, it will causes a suspicion for correctness of topological relations obtained by reasoning from observation data. In this paper, we firstly describe the geometric and statistical properties of areal object, and analyzing the effects of positional uncertainty on representation of topological relations between areal objects. Then, the concept of uncertain topological relations is defined, and the function of probability computation of a point falling inside an areal object is given. Finally, a new approach to determining random topological relations is presented.