On Representing Geometries of Geographic Space

摘要

This paper discusses the representation of phenomena of geographic space by menas of geometry. It is argued that ifferent kinds of phenomena need to be represented by different geometries. The notions of geometric and location abstraction are introduced. Geometric and location abstraction is used to relate different geometries and their representations to each other. In the analysis a conceptual model a model level and a representation level are distinguished. The results of the anlaysis are applied to two classes of problems in GIS: handling of uncertain data and effective organization of spatial data. It is shown that the analysis on differnet levels provides a unified view on the representation of geometries of geographic space in GIS.