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Spatial Data Models, Management and Operations                        25























           Fig. 2-1. Vector model of geo-objects.

           operations; see further below). This type of vector model has, nonetheless, the advantage
           that geo-objects can be readily scaled,  transformed to other map projections and
           displayed using inexpensive systems for visualisation.
              The  topological model offers vector representation  of geo-objects  in a  spatially-
           structured form (Fig. 2-2) Topology is concerned with spatial relationships between geo-
           objects in terms of containment, connectivity, adjacency or proximity. In a topological
           model, linear geo-objects (including boundaries of polygonal geo-objects) are recorded
           in node-arc structures such that nodes represent intersections between linear geo-objects
           and form polyline segments or arcs and then arcs form polygons. Boundaries of
           polygonal geo-objects are not recorded separately. The model results in efficient storage
           of attributes of geo-objects  and, more  importantly, in  explicit definition of spatial
           relationships between nodes, arcs and polygons. That means geo-objects on either left or
           right of another geo-object are explicitly defined. The topological model is amenable to
           true GIS functions (e.g., neighbourhood operations; see further below), not only because
           spatial relationships  between geo-objects are defined but also  because such spatial
















           Fig. 2-2. Spaghetti model versus topological model of vector data.
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