Computation of topological relations between Cadastral objects based on Euler-number

Topological Relationship between cadastral objects is a very important topic for spatio-temporal data organization, query, quality and updating in Cadastral Information Systems (CIS). The most popular models in current use have fundamental deficiencies when they are used to compute the topologial relations between cadastral objects. In this paper, a whole-based approach is pursued to computed the binary topological relationship between cadastral objects, in which (i) a spatial object is treated as a whole object, (ii) intersection and difference operators are selected from set operators to distinguish the topological relations between neighboring spatial objects; (iii) three types of topological invariants are used for the computational results of set operations contents, dimension and Euler-number. This approach overcomes the shortcoming of current models in computing the topological relations between cadastral objects, it has been used in the updating of cadastral database successfully.