2. Probabilistic Spatial Relations
Spatial relations can provide information on the layout of spatial objects (Freeman, 1975). As shown in (Egenhofer & Herring, 1990), there are different types of spatial relations. For example, topological relations are invariant under topological transformations. Metric information is provided by distance relations. Partial and total orders can be also modeled by spatial objects (“in the front of”, “behind”, etc.). Numerous spatial relations have been defined between different forms of spatial objects.
Probabilistic spatial relations can be defined between objects. This type of relations is associated to probability. In other words, we are able to assign probabilities on the different spatial relations. We present below three examples to illustrate this concept.