Spatial relations are of great importance for image understanding. In this paper we focus on the "surround" relation. We propose to represent the relation as a fuzzy set in the spatial domain, which considers the imprecision of the relation itself, the morphology of the reference object, and the distance to the target object. This fuzzy set represents the region which surrounds some reference objects. The degree to which another object satisfies this relation with respect to the reference object can then be derived. The definition is illustrated on real objects with complex shapes from satellite images.

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