The fuzzy qualitative assessment (or quantitative assessment) of
directional spatial relationships (such as "to the right of", "above",
"south of"...) between two plane objects often relies on the
computation of a histogram of angles, which provides a representation
of the relative position of the objects. In a recent paper, the notion
of the Fhistogram was introduced. Here, we show that this powerful
tool of representation lends itself, with great flexibility, to the
definition of fuzzy directional relations. Indeed, any family of
directional relations that relies on the construction of angle
histograms can be advantageously redefined using Fhistograms.
Moreover, the notion of the Fhistogram enables radically new families
of directional relations to be conceived: definitions which correspond
to a coherent and rational perception of the world, but nonrealizable
by previous methods.
