NORTII-HOU.AND
Informatics and
Computer Science
A Model for Representing Topological Relationships between
Complex Geometric Features in Spatial Databases
ELISEO CLEMENTINI
and
PAOLINO DI FELICE
Dipartimento di Ingegneria Elettrica, Universita di L 'Aquila, 67040 Poggio di Roio
(AQ), Italy
ABSTRACT
Various models for the representation of topological relationships have been
developed. The aim ofthis paper is to show that the set of relationships proposed
in [7] (the CBM), for describing topological relationships among two-dimensional
simple features, is applicable with few modifications to the case of complex
features (that is, areas made up of several components possibly containing holes,
lines with self-intersections, and/or more than two endpoints, and so on). The
CBM offers a small set of topological relationships with high expressiveness which
is proven to be mutually exclusive and complete, and therefore suitable to be
embedded in a spatial query language.
1. INTRODUCTION
Spatial database systems have constantly increased in popularity during
the last few years. A kind of proof is the increasing success accredited by
the database community to the series of conferences (Symposium on Large
Spatial Databases) held bi-annually since 1989 [1, 2, 13, 16]. The major mo-
tivation pushing research in spatial database systems is the large number of
application domains they involve [18]. An incomplete list of these domains
includes: geographic databases, scientific databases, pictorial databases,
and CAD.
Spatial data management imposes a number of new requirements on
database systems if compared with traditional ones. Among the many,
the formalization of spatial relationships among physical objects has a
central role, because they occur in the majority of spatial queries. The
following three examples are typical of spatial queries borrowed from the
INFORMATION SCIENCES 90, 121-136 (1996)
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