Approximate spatiotemporal relations between indeterminate evolving regions

Temporal and spatial reasoning are two important parts of artificial intelligence and they have important applications in the fields of GIS (geographic information system), spatiotemporal database, CAD/CAM etc. The development of temporal reasoning and spatial reasoning includes three aspects: ontology, representation model and reasoning methods. This paper checks the correspondence between spatiotemporal relations and the 3D topological relations and presents a relation analysis model for indeterminate evolving 2D regions. It extends 2D egg/yolk model to the third dimension that can describe the approximate topological relations for indeterminate evolving regions. The result is a collection of relation clusters that have different spatiotemporal nature.