
mask bit vectors are denoted {mask_A, mask_B}, it can
be computed simply by following equation:
HD ¼
ðcode A code BÞ\mask A \ mask B
kk
mask
A \ mask B
kk
;
ð7Þ
where
N
denotes bit-wise_ XOR operation, \ denotes
bit-wise AND operation, and
kk
denotes the norms of
the resultant bit.
The computed score is a metric of ‘‘distance,’’
indicating how different these two irises are. It is
called ‘‘Hamming Distance’’ (HD). As one can see
from Eq. 7, Hamming Distance is normalized by the
norm of the effective region. Therefore, it will always
have values between 0 and 1, where 0 indicates if iris
A and B are exactly the same and 1 indicates if they are
completely opposite.
Ideally, if two irises are from the same class, the
Hamming Distance between them should be close to 0.
On the other hand, if two irises are from different
classes, due to the property of statistical independence,
the probability for each bit of one iris to match the
same bit of another iris should be 50%. Therefore, the
expected Hamming Distance for two irises which come
from different classes should be 0.5. In practice, the
values of Hamming Distance will not be exactly 0 or
0.5. The distribution of the value of Hamming Dis-
tance for authentic comparison will be a Gaussian
distribution, centered at 0, and the distribution of the
value of Hamming Distance for imposte r comparison
will be another Gaussian distribution, centered at 0.5.
If the qualit y of the input iris image is high enough, in
most cases, these two Gaussians would not intersect
with each other, or they only intersect with each other
in tiny portion. Therefore, a proper threshold can be
chosen to minimize both the
▶ False Positive Rate and
▶ False Negative Rate.
Summary
Iris recognition is an emerging field for biometric
recognition. Substantial research effor ts have been
involved in this field to push the performance of iris
recognition to the limit. Literature has shown that it is
one of the biometric modality that has high perfor-
mance, high universality, high distinctiveness, high
permanence, and low chances of circumvention [15].
As the technological innovation of iris acquisition
keeps advancing, it is becoming more user-friendly
and more popular. As the computational power of
hardware grows exponentially and the size of chip
keeps decreasing, iris segmentation, feature extraction,
and matching can all be executed faster in much smal-
ler devices. In the near future, it is very promising that
iris recognition system will be widely accepted, not
only in the application at national security level, but
also in private companies, public services, and private
residency.
Related Entries
▶ Biometrics Overview
▶ Biometric System Design
▶ Iris Acquisition Device
▶ Iris Encoding and Recognition
References
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Iris Recognition, Overview