## Topological Relations between Regions in R² and Z² (1993)

Citations: | 28 - 2 self |

### BibTeX

@MISC{Egenhofer93topologicalrelations,

author = {Max J. Egenhofer and Jayant Sharma},

title = {Topological Relations between Regions in R² and Z²},

year = {1993}

}

### Years of Citing Articles

### OpenURL

### Abstract

Users of geographic databases that integrate spatial data represented in vector and raster models, should not perceive the differences among the data models in which data are represented, nor should they be forced to apply different concepts depending on the model in which spatial data are represented. A crucial aspect of spatial query languages for such integrated systems is the need mechanisms to process queries about spatial relations in a consistent fashion. This paper compares topological relations between spatial objects represented in a continuous (vector) space of ## and a discrete (raster) space of ZZ . It applies the 9-intersection, a frequently used formalism for topological spatial relations between objects represented in a vector data model, to describe topological relations for bounded objects represented in a raster data model. We found that the set of all possible topological relations between regions in ## is a subset of the topological relations that can be realized between two bounded, extended objects in ZZ . At a