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In daily conversation, people use spatial prepositions to denote spatial relationships and describe relative positions. Various quantitative relative position descriptors can be found in the literature. However, they all have been designed with 2D objects in mind, most of them cannot be extended to handle 3D objects in vector form, and there is currently no implementation able to process such objects. In this paper, we build on a descriptor called the histogram of forces, and we present the first algorithm for quantitative relative position descriptor calculation in the case of 3D vector objects. Experiments validate the approach.

A First Algorithm to Calculate Force Histograms in the Case of 3D Vector Objects