12.07.2015 Views

To the Graduate Council: I am submitting herewith a dissertation ...

To the Graduate Council: I am submitting herewith a dissertation ...

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Chapter 3: A Feature Saliency Descriptor for Registration and Pose Recovery 40σ(a)σ(b)σ(c)Fig. 3.10. Tensor voting in <strong>the</strong> case of smooth curves. In <strong>the</strong> case of nearly registered curveswe will have almost degenerate tensors with <strong>the</strong> eigen-system ellipses having a small area (a).The ellipse will be also small for curves that are separated vertically by a distance larger thanσ due to <strong>the</strong> rapid decay of <strong>the</strong> votes (c). But in <strong>the</strong> intermediate case of a verticaldisplacement around one σ , we can have a larger saliency due to <strong>the</strong> vertical tensorcomponents (b). Hence we have a maximum saliency at <strong>the</strong> wrong position.

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