Servicio de Información Comunitario sobre Investigación y Desarrollo - CORDIS

Definition and implementation of vague geospatial objects

The objective is to provide formal definitions of vague spatial types on R2, and basic spatial operators on them. We use fuzzy sets and fuzzy topology to model vague objects, and fuzzy set operators to build vague spatial operators. The spatial vague types together with the spatial operators form a spatial algebra.

The vague object types we provide are generalizations of 0-, 1-, and 2-dimensional crisp object types. We identify three general types, which we call vague points, vague lines, and vague regions, in combination with some simple object types, usually named by adding the word `simple' to the general type name. The general types are defined such that they are closed under basic spatial operators. The simple types are structural elements of the general ones that are easy to handle. This means their structure can be easily translated into a computer representation. Also, spatial operators like topological predicates or metric operators can be understood and defined on them in a straightforward way. Each vague object we introduce is represented as a fuzzy set in R2 with specific properties, expressed in terms of topological notions.

The basic spatial operators we define are complement, union, and intersection of vague objects. Other operators on vague spatial objects that result again in vague spatial objects can be represented as a combination of the basic ones. Basic operators are regularized fuzzy set operators such that the resulting object is of one of the predefined vague types.

Reported by

International Institute for Geo-Information Sciences and Earth Observation (ITC)
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