Conceptual geometric modelling

Autoren Hui Ma
Klaus-Dieter Schewe
Editoren D. Embley
B. Thalheim
TitelConceptual geometric modelling
BuchtitelHandbook of Conceptual Modelling
Typin Sammelband
Kapitelchapter 13
SCCH ID#1031

This chapter starts with a review of existing spatial data models in the literature to shows some key problems that need to be addressed by conceptual models to include spatial data and more generally geometric data. Motivated among others by the need to support spatial modelling for the sustainable land use initiative we present a geometrically enhanced ER model (GERM), which preserves the key principles of ER modelling and at the same time introduces bulk constructions and types that support geometric objects. The model distinguishes between a syntactic level of types and an explicit internal level, in which types give rise to polyhedra that are defined by algebraic varieties. It further emphasises the stability of algebraic operations by means of a natural modelling algebra that extends the usual Boolean operations on point sets.