R. Rajagopalan. a Model for Integrated Qualitative Spatial and Dynamic Reasoning Jackendoo. \what" and \where" in Spatial Language and Spatial
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A Listener Model with Mental Images. 13 Figure 12: 3-D applicability elds of left and near 5. CONCLUSION In certain situations, the set of elementary spatial relations is insuucient to localize objects exactly. We have, therefore, extended our existing computational model of elementary spatial relations to compositions which achieve for more exact localizations. The graded composite relations are deened by a combination of the elementary relations using the scaled minimum. Our future research will focus on the adaptation of the exact evaluation of the computational model to the data collected in a psychological evaluation experiment and on a situation-based selection process using conceptual knowledge to determine the appropriate relation or composition for the localization of objects. 12 Valuation: The scaled minimum conveys all seven requirements. It applies both in 2-dimensional and 3-dimensional space, the reference objects extension is taken into account, the angular structure is preserved and a separate scaling for the elementary relations is possible. Furthermore the distance concept for the computation of the elementary projective relations is not necessary and the resulting degrees are mapped into the whole applicability interval 0::1]. 4.3 Computation of Rel 2p cpt A positive establishment of a composite projective topological relation also requires evidence from both elementary relations. The regions of applicability of the projective and the topological relation overlap. Therefore we can set the scaling function S to 1 when using the scaled minimum: