Abstract
Aiming at region connection calculus (RCC) can only roughly represent spatial topological relations, and have difficulty in representing the distance, direction and so on. Therefore, based on RCC theory, Region Extension and Shrinking Calculus are proposed, and then a formalized metrization method using region as a basic unit is introduced. Based on RESC theory, taking the advantage such as application simplicity and easy realization of gird area method. The experiment proves the spatial relations can be easily obtained by Grid-Region method, and it is an effective way to repre- sent spatial relations.
Highlights
SR [1] (Spatial Reasoning) is an important subfield of AI (Artificial Intelligence), usually using the technology and method of AI to model, describe and represent about the spatial objects
The experiment proves the spatial relations can be obtained by Grid-Region method, and it is an effective way to represent spatial relations
The model can be divided to region topology and point set topology
Summary
SR [1] (Spatial Reasoning) is an important subfield of AI (Artificial Intelligence), usually using the technology and method of AI to model, describe and represent about the spatial objects. Clementine divided the distance to different layers such as near, middle and far layers, and combing the cone direction model and distance relation, introduced position calculus method. Spatial reasoning usually needs to combine various spatial relations, but still so far no unified model can formally describes the topological, directional and the distance spatial relations based on the same theory. The model takes advantage of the novel metrization method to define the topological, directional and the distance relation. At the meantime, based on the properties of realization of the grid area method, it is used to verify the formal model of spatial relations based on spatial region extension and shrinking
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