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

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<strong>for</strong> topographic facial features (e.g., eyebrows, cheek, mouth, etc.)<br />

Mean MEF1 MEF2 MEF3 MEF4 MEF5 MEF6 MEF7 MEF8<br />

(a)<br />

Mean MDF1 MDF2 MDF3 MDF4 MDF5 MDF6 MDF7 MDF8<br />

(b)<br />

Figure 2.3. Internal representations of the PCA-based approach <strong>and</strong> the LDA-based<br />

approach (from Weng <strong>and</strong> Swets [31]). The average (mean) images are shown in the<br />

first column. Most Expressive Features (MEF) <strong>and</strong> Most Discriminating Features<br />

(MDF) are shown in (a) <strong>and</strong> (b), respectively.<br />

The PCA-based algorithm provides a compact but non-local representation of<br />

face images.<br />

Based on the appearance of an image at a specific view, the PCA<br />

algorithm works at the pixel level. Hence, the algorithm can be regarded as “picture”<br />

recognition, in other words, it is not explicitly using any facial features. The EBGMbased<br />

algorithm constructs local features (extracted using Gabor wavelets) <strong>and</strong> global<br />

face shape (represented as a graph), <strong>and</strong> so this approach is much closer to “face”<br />

recognition. However, the EBGM algorithm is pose-dependent, <strong>and</strong> it requires initial<br />

graphs <strong>for</strong> different poses during its training stage.<br />

The LFA-based algorithm is<br />

derived from the PCA-based method; it is also called a kernel PCA method. In this<br />

approach, however, the choice of kernel functions <strong>for</strong> local facial features (e.g., eyes,<br />

mouth, <strong>and</strong> nose) <strong>and</strong> the selection of locations of these features still remains an open<br />

42

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