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Face Detection and Modeling for Recognition - Biometrics Research ...

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(a) (b) (c)<br />

(d)<br />

Figure 5.5. Boundary map <strong>and</strong> eye component map <strong>for</strong> coarse alignment: (a) <strong>and</strong><br />

(b) are gradient magnitude <strong>and</strong> orientation, respectively, obtained from multi-scale<br />

Gaussian-blurred edge response; (c) an eye map extracted from a face image shown<br />

in Fig. 5.4(c); (d) a semantic face graph overlaid on a 3D plot of the eye map; (e)<br />

image overlaid with a coarsely aligned face graph.<br />

(e)<br />

a semantic face graph produces a collection of component boundaries, each of which<br />

is described by a closed (or open) active contour. The collection of these active contours,<br />

called interacting snakes, interact with each other through a repulsion energy<br />

in order to align the general facial topology onto the sensed face images in an iterative<br />

fashion. We have studied two competing implementations of active contours <strong>for</strong> the<br />

de<strong>for</strong>mation of interacting snakes: (i) explicit (or parametric) <strong>and</strong> (ii) implicit contour<br />

119

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