As technologies of current computers are rapidly developed, requirements of users are migrating from simple alphanumeric data processing to graphic, image, and spatial data processing. Various geometric models have been proposed until now. However, these models have focused on one way of representation of spatial objects.
In this thesis, we propose a multiple spatial representation for spatial objects. Two methods for multiple spatial representation are a presentation method and an objective method. The presentation method stores only a large scale map and automatically generates various small scale maps from the large scale map. When small scale maps are generated, the number of attributes of nonspatial objects is decreased. In addition, a spatial object shows geometry hiding nested objects. The objective method stores various scale maps according to special purposes. We propose a scheme for each method and a geometric model which is applied to these schemes.
We have implemented the geometric model of the map objects using the Gothic GIS tool which is based on an object-oriented database system.