Figure 5.2(a): Example annotations from fiction text - Relation annotation.
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Figure 5.2(b): Example annotations from fiction text - Transition annotation.
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Figure 5.4: Context of the interval-based quantified constraint optimizer with respect to the fiction-to-animation problem.
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Figure 5.5(a): Graphical illustration of solution finding approach for constraints using universally quantified variables - Step 1: Narrow over constraint.
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Figure 5.5(b): Graphical illustration of solution finding approach for constraints using universally quantified variables - Step 2: Narrow over negated constraint.
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Figure 5.5(c): Graphical illustration of solution finding approach for constraints using universally quantified variables - Step 3: Box set difference yields a solution and smaller universally quantifed interval.
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Figure 5.6(a): Illustration of set difference between two intervals - Upper bound of A overlaps B.
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Figure 5.6(b): Illustration of set difference between two intervals - Lower bound of A overlaps B.
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Figure 5.6(c): Illustration of set difference between two intervals - A overlaps B, but bounds do not overlap.
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Figure 5.6(d): Illustration of set difference between two intervals - A does not overlap B.
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Figure 5.6(e): Illustration of set difference between two intervals - A completely subsumed by B.
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Figure 5.7: Illustration of the composition of a sound interval constraint solver by Benhamou et al. (2004).
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Figure 5.8: Illustration of interval optimization process.
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Figure 5.9: Illustration of the combination of solutions performed by the inner contracting operator (defined in Algorithm 5.1).
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Figure 5.10: Illustration of the components of the interval optimization algorithm.
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Figure 5.11(a): Effect of threshold size on solving time - Standard benchmark (consistent): Satellite.
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Figure 5.11(b): Effect of threshold size on solving time - Custom benchmark (consistent): Scene.
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Figure 5.11(c): Effect of threshold size on solving time - Custom benchmark (inconsistent): Collision7.
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