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For orientation, two sides are extended by a factor of c/2 and the two others by a
factor of 2c. The bounding box is then subjected to a translation of value 1.5c − c/5
toward the chosen orientation, in order for the target bounding box to keep a small
overlappingsurfacewiththeoriginalboundingbox.Therelationof distance issimilar
to that of adjacency. Only the factor is no longer proportional to the bounding box
of the reference site but is guided by the distance (x) given in the text. Finally, the
relation of geometric figure simply describes a new box surrounding the bounding
boxes of the two reference sites. These choices of implementation of the recursive
function calculating geometric representations are detailed and validatedin [LES 07].
Wehaveinparticularchosentoprioritizetherecallofthesystem,thusallowingnoise.
Figure 2.7. Interpretation of the five spatial relations of the core
model - extract taken from [LES 07]
Figure 2.7 shows an example of recursive interpretation. The sentence “between
the south of Pau and the north of Oloron-Sainte-Marie” is interpreted in several steps.
A first representation is calculated for “the south of Pau”, as well as for “the north of
Oloron-Sainte-Marie”. Lastly, the final representation is produced from these.
The representations are proposed in the form of bounding boxes. This solution,
chosen as the first approximation during the implementation of the PIV prototype,
enables fast calculations during the IR phase.
Figure 2.8 illustrates the different interpretations planned by the implementation
of the five temporal relations defined in the core model. Concerning adjacency, the
reference period is extended at the level of its two bounds. This extension depends on
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