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4 <strong>Face</strong> <strong>Modeling</strong> 97<br />

4.1 <strong>Modeling</strong> Method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97<br />

4.2 Generic <strong>Face</strong> Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99<br />

4.3 Facial Measurements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101<br />

4.4 Model Construction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103<br />

4.5 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110<br />

5 Semantic <strong>Face</strong> <strong>Recognition</strong> 111<br />

5.1 Semantic <strong>Face</strong> Graph as Multiple Snakes . . . . . . . . . . . . . . . . . . 112<br />

5.2 Coarse Alignment of Semantic <strong>Face</strong> Graph . . . . . . . . . . . . . . . . . 115<br />

5.3 Fine Alignment of Semantic <strong>Face</strong> Graph via Interacting Snakes . . . . . 118<br />

5.3.1 Interacting Snakes <strong>and</strong> Energy Functional . . . . . . . . . . . . . . . . 120<br />

5.3.2 Parametric Active Contours . . . . . . . . . . . . . . . . . . . . . . . . 127<br />

5.3.3 Geodesic Active Contours . . . . . . . . . . . . . . . . . . . . . . . . . 127<br />

5.4 Semantic <strong>Face</strong> Matching . . . . . . . . . . . . . . . . . . . . . . . . . . . 130<br />

5.4.1 Component Weights <strong>and</strong> Matching Cost . . . . . . . . . . . . . . . . . 132<br />

5.4.2 <strong>Face</strong> Matching Algorithm . . . . . . . . . . . . . . . . . . . . . . . . . 133<br />

5.4.3 <strong>Face</strong> Matching . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134<br />

5.5 Facial Caricatures <strong>for</strong> <strong>Recognition</strong> <strong>and</strong> Visualization . . . . . . . . . . . 140<br />

5.6 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143<br />

6 Conclusions <strong>and</strong> Future Directions 144<br />

6.1 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 144<br />

6.2 Future Directions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147<br />

6.2.1 <strong>Face</strong> <strong>Detection</strong> & Tracking . . . . . . . . . . . . . . . . . . . . . . . . . 147<br />

6.2.2 <strong>Face</strong> <strong>Modeling</strong> . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149<br />

6.2.3 <strong>Face</strong> matching . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 151<br />

APPENDICES 153<br />

A Trans<strong>for</strong>mation of Color Space 153<br />

A.1 Linear Trans<strong>for</strong>mation . . . . . . . . . . . . . . . . . . . . . . . . . . . . 153<br />

A.2 Nonlinear Trans<strong>for</strong>mation . . . . . . . . . . . . . . . . . . . . . . . . . . 154<br />

A.3 Skin Classifier . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 156<br />

B Distance between Skin Patches 157<br />

C Image Processing Template Library (IPTL) 160<br />

C.1 Image <strong>and</strong> Image Template . . . . . . . . . . . . . . . . . . . . . . . . . 160<br />

C.2 Example Code . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 163<br />

BIBLIOGRAPHY 165<br />

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