By Gio Wiederhold
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They are defined and added by users as specializations (subtypes) of the generic POINT-SET type. The detailed description of the inherent characteristics and behaviour of spatial objects is left to the various specialized subtypes of POINT-SET. For example, a polygon is usually described by a list of points in (counter)clockwise order. Spatial data types modelling spatial objects by using half planes Another approach of modelling spatial objects is that of using half planes [CG82, SV89] where each half plane is defined by a halfplane segment.
Two half plane segments Union Intersection Difference Figure 2-4 7 Since no statement is made about dimension and shape of objects of the POINT-SETtype, this type could also be classed in the category of universalspatialdata types. 28 Chapter 2. Spatial Data Types - A Survey Data types associated with spatial properties In [IP87] spatially-referenced objects are modelled as entities where the user receives a high-level view of spatial objects and is relieved from dealing with their internal representation.
A theoretical approach for such a system has been suggested by using category theory for establishing a unifying theory integrating different spatial concepts. Category theory studies structure-preserving morphisms between algebraic structures [HEF90, He89, He91]. Realizing a spatial concept as implementation on a computer is carried out by designing spatial data structures. These are based on the formal definitions of the corresponding spatial data model and together with appropriate algorithms provide the details how the desired behaviour of the operations specified in the data model can be achieved.
Data Base Design by Gio Wiederhold