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Concepts and Models of Space > Geographic Applications > Abstraction

Assume 2-D and a GIS application, basic abstractions that need to be modeled in a systema are:
  • Modeling single objects in space: cities, forests, or rivers single objects
  • Modeling spatially related collection of objects:
    • partitions
    • networks
    • coverage
    • nested partitions
    • digital terrain models
In GIS, geographic information is handled in thematic layers or theme layers. The relationship between theme and geographic objects satisfied the following definitions:
  • theme = {geographic_objects}
  • geographic_objects = (description, spatial_part}| (description, {geographic_objects}
The definition of geographic objects is recursive with two main distinctions: while simple spatial objects have a description and a spatial part, complex spatial objects include a description and a set of geographic objects.

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