Using raster quasi-topology as a tool to study spatial entities

The study of spatial entities needs a model that is not only fully observable and controllable, but also computable. Euclidean topology on R2is a usually used tool for this study, but it has the following two weaknesses. First, there exists some phenomenon of human perception of the spatial entity that cannot be simulated by it. Second, its observation of the basic geometric properties (interior, exterior, boundary) of the spatial entity lacks computability so that the model based on it lacks computability and cannot be directly used to practical systems. Consequently, in this paper, we present another tool for studying spatial entities - raster quasi-topology on R2and then compare the two tools.