Spatial relationships among image objects play a vital role in many
domains of computer vision (e.g., pattern recognition, image
understanding, scene description). Some have received considerable
attention the last few years (e.g., "to the right of," "above," "to the
left of" and "below"), but others have not been the subject of as much
investigation. In this paper, we design consistent fuzzy models of
three important spatial relationships: "surrounded by," "between" and
"among." These models are based on the histogram of forces, which
represents the relative position between two objects. Here, force
histograms are assimilated to fuzzy sets and processed through their
a-cuts. Our goal is to extend the capabilities of a fuzzy system for
linguistic scene description introduced in an earlier paper.
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