Abstract
In this paper, we analyze the domains of interval temporal relations. A set of algorithms is proposed to derive reasonable relations between intervals. Possible conflicts in the user specification are firstly detected and eliminated. The algorithm is extended for objects in an arbitrary n-dimensional space. Thus, presentation layouts in 2-D space, or Virtual Reality object representations in 3-D space can be constructed. We use our algorithms to design a reasoning system that generates the schedule and layout of multimedia presentations.
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