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Master Thesis - Department of Computer Science

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Error<br />

d1 = (1 − TZeroF RR) d2 = |IDT ZeroF RR<br />

i |<br />

Gi ∝ d1<br />

FAR(t)<br />

d2<br />

ZeroFRR<br />

TZeroF RR<br />

EER<br />

d1<br />

Li ∝ d2<br />

ZeroFAR<br />

b ID<br />

FRR(t)<br />

Figure 3.8: ZeroFRR and TZeroF RR are illustrated using hypothetical curves <strong>of</strong> FAR(t)<br />

and FRR(t).<br />

Hence, goatishness and lambishness can be expressed as,<br />

Gi = exp (1 − TZeroF RR) ,<br />

� TZeroF RR |IDi |<br />

Li = exp<br />

bID �<br />

. (3.8)<br />

where IDi is the set <strong>of</strong> impostor scores for i th subject and |.| denotes the<br />

cardinality <strong>of</strong> a set. The significance <strong>of</strong> Gi and Li are explained using a diagram<br />

in Figure 3.8.<br />

3.3.2 Subject-Specific Subband Selection Algorithm<br />

The above defined criteria are used in a subject-specific subband selection algorithm.<br />

As described in Section 3.2.2, each (l, k) pair corresponds to a subband face (Al −Ak)<br />

which is obtained by reconstructing from subbands upto the level-l, after suppressing<br />

the approximation at level-k, where 0 ≤ l < k ≤ log N, N ∗ N being the resolution<br />

<strong>of</strong> the image. Given (l, k), we transform (DWT) all images from the training and<br />

validation sets to the subband face, (Al − Ak). Then we use any subspace method<br />

for feature extraction and generate a confusion matrix (see Eqn. 3.1) using nearest-<br />

neighbor policy followed by a normalization technique to convert score values in the<br />

range [0, 1]. From the confusion matrix the genuine and impostor score sets are<br />

57<br />

1<br />

t

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