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

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4.2 3D triangular-mesh model <strong>and</strong> its feature components: (a) the frontal<br />

view; (b) a side view; (c) feature components. . . . . . . . . . . . . . 100<br />

4.3 Phong-shaded 3D model shown at three viewpoints. Illumination is in<br />

front of the face model. . . . . . . . . . . . . . . . . . . . . . . . . . . 100<br />

4.4 Facial measurements of a human face: (a) color image; (b) range map; <strong>and</strong><br />

the range map with texture mapped <strong>for</strong> (c) a left view; (d) a profile<br />

view; (e) a right view. . . . . . . . . . . . . . . . . . . . . . . . . . . 102<br />

4.5 Facial features overlaid on the color image, (a) obtained from face detection;<br />

(b) generated <strong>for</strong> face modeling. . . . . . . . . . . . . . . . . . . 102<br />

4.6 Global alignment of the generic model (in red) to the facial measurements<br />

(in blue): the target mesh is plotted in (a) <strong>for</strong> a hidden line removal<br />

mode <strong>for</strong> a side view; (b) <strong>for</strong> a see-through mode <strong>for</strong> a profile view. . 103<br />

4.7 Displacement propagation. . . . . . . . . . . . . . . . . . . . . . . . . . . 104<br />

4.8 Local feature alignment <strong>and</strong> displacement propagation shown <strong>for</strong> the<br />

frontal view: (a) the input generic model; the model adapted to (b)<br />

the left eye; (c) the nose; (d) mouth <strong>and</strong> chin. . . . . . . . . . . . . . 105<br />

4.9 Local feature refinement: initial (in blue) <strong>and</strong> refined (in red) contours<br />

overlaid on the energy maps <strong>for</strong> (a) the face boundary; (b) the nose;<br />

(c) the left eye; <strong>and</strong> (d) the mouth. . . . . . . . . . . . . . . . . . . . 107<br />

4.10 The adapted model (in red) overlapping the target measurements (in blue),<br />

plotted (a) in 3D; (b) with colored facets at a profile view. . . . . . . 108<br />

4.11 Texture Mapping. (a) The texture-mapped input range image. The<br />

texture-mapped adapted mesh model shown <strong>for</strong> (b) a frontal view;<br />

(d) a left view; (e) a profile view; (f) a right view. . . . . . . . . . . . 109<br />

4.12 <strong>Face</strong> matching: the top row shows the 15 training images generated from<br />

the 3D model; the bottom row shows 10 test images of the subject<br />

captured from a CCD camera. . . . . . . . . . . . . . . . . . . . . . . 110<br />

5.1 Semantic face graph is shown in a frontal view, whose nodes are (a) indicated<br />

by text; (b) depicted by polynomial curves; (c) filled with<br />

different shades. The edges of the semantic graph are implicitly stored<br />

in a 3D generic face model <strong>and</strong> are hidden here. . . . . . . . . . . . . 113<br />

5.2 3D generic face model: (a) Waters’ triangular-mesh model shown in the<br />

side view; (b) model in (a) overlaid with facial curves including hair<br />

<strong>and</strong> ears at a side view; (c) model in (b) shown in the frontal view. . 114<br />

5.3 Semantic face graphs <strong>for</strong> the frontal view are reconstructed using Fourier<br />

descriptors with spatial frequency coefficients increasing from (a) 10%<br />

to (j) 100% at increments of 10%. . . . . . . . . . . . . . . . . . . . . 115<br />

5.4 <strong>Face</strong> detection results: (a) <strong>and</strong> (c) are input face images of size 640 × 480<br />

from the MPEG7 content set; (b) <strong>and</strong> (d) are detected faces, each of<br />

which is described by an oval <strong>and</strong> a triangle. . . . . . . . . . . . . . . 116<br />

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