Dimensionally Extended Nine-Intersection Model (DE-9IM)

Abstract

relationships between geometries. It is based on the Nine-Intersection Model (9IM) or Egenhofer-Matrix which in turn is an extension of the Four-Intersection Model (4IM). The Dimensionally Extended Nine-Intersection Model considers the two objects’ interiors, boundaries and exteriors and analyzes the intersections of these nine objects parts for their relationships (maximum dimension (-1, 0, 1, or 2) of the intersection geometries with a numeric value of –1 corresponding to no intersection). The spatial relationships described by the DE-9IM are “Equals”, “Disjoint”, “Intersects”, “Touches”, “Crosses”, “Within”, “Contains” and “Overlaps”.

DOI: 10.1007/978-3-319-17885-1_298

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Cite this paper

@inproceedings{Strobl2008DimensionallyEN, title={Dimensionally Extended Nine-Intersection Model (DE-9IM)}, author={Christian Strobl}, booktitle={Encyclopedia of GIS}, year={2008} }