Random Topological Relations between Line and Area in Gis

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 observation data. In this paper, we firstly describe the geometric and statistical properties of random line and area, and analyzing the effect of error in spatial data on representation of topological relations between spatial entities. Then, we present the concept of uncertain topological relations sets in order to represent random topological relations between spatial data with random errors. Finally, a new approach to determining random topological relations is presented.