
shape of the sensed object, the object surface proper-
ties, and the illumination source:
Iðx; yÞ¼rðx; yÞnðx; yÞs ð1Þ
where I(x, y) is the spectral image, r(x,y)isthealbedo
of the facial surface material at point (x, y) (also a func-
tion of the illumination wa velength), n ¼ (n
x
, n
y
,n
z
)
is the surface normal (a unit row vector) at the 3D
surface point z(x, y), and s¼(s
x
, s
y
, s
z
) is the point
lighting direction (a column vector, with magnitude).
The normal directions n(x, y) may be derived from the
range image z(x, y), but not vice versa.
In developing face biometric engines and systems
using spectral images, researchers and engineers have
identified intrinsic and extrinsic factors that affect face
recognition. The facial albedo and the surface shape are
intrinsic factors pertinent to the face identity. These
should be the most important information to be used
for face recognition. On the other hand, extrinsic factors
include illumination, facial ware, hairstyle, expression,
and posture. Since they are irrelevant to the identity of
the face, their influence on face recognition should be
mitigated. Much research and development effort has
been spent to minimize the impact of extrinsic factors,
but the problems still persist and are difficult to solve [1].
Heterogeneous spectral face images have different
albedos, and hence, encode intrinsic factors in different
ways even if extrinsic factors are not accounted for.
Set aside extrinsic factors and focus on the intrinsic
ones. Given a still, frontal face under a fixed illumina-
tion, heterogeneous image formation processes produce
face images of different image configurations of pixel
values. The pixel values have different properties and
interrelationships across heterogeneous face images.
While the above heterogeneities in HFBs are con-
sidered in the true sense, HFBs in the broad sense deals
with heterogeneities in homogeneous face images cap-
tured under heterogeneous conditions. The VIS type of
face images, for example, can be captured
under different illumination conditions,
by different types of image sensors, such as CCD
and CMOS, or sensor brands,
in different image resolutions,
in different image quality, and
by photo scanning or face sketching,
These cause heterogeneities in image formation and
pixel configuration. Among these, face sketches may
have different image styles and contain more
heterogeneities. Also, heterogeneities due to image
resolutions and different image quality also count.
Quality control by imposing constraints on image ac-
quisition conditions is thus sug gested, for example, in
the ISO/ICAO (International Organization for Stan-
dardization/International Civil Aviation Organization)
standard [10].
Research Issues
Despite the heterogeneities, it is desired to perform
face biometric identification and verification with
whatever types of face images available. Research pro-
blems in HFBs include the following:
Understanding heterogeneous image formation
models: This provides a physical basis for modeling
properties of heterogeneous face images.
Discovering relationships between heterogeneous
images: Relations or correlations between hetero-
geneous images of faces or sets of features derived
thereafter may be discovered using heterogeneous
image formation models.
Formulating transformation of one ty pe to ano-
ther: With latent correlations discovered, one
could construct a transformation or mapping
from one type to another.
Extracting common features: Discovered latent
correlations could also be used for extracting com-
mon features for characte rizing face identities in
heterogeneous images.
Matching across heterogeneous images: Matching
algorithms should be developed based on extracted
features that associate heterogeneous face image
properties.
Fusion of heterogeneous information: HFBs can take
advantage of heterogeneous information in face
images and fuse them to improve the performance.
Statistical learning can be used to develop algo-
rithms for solving these problems. For example, for
the recovery of face shape from a single NIR face image
[8], for matching between VIS face and face sketch [5],
VIS face and NIR face [6], and between 3D face and
NIR face [7].
HFBs require the extraction of features common
across heterogeneous types of faces so as to create a
common ground for things to be compared. The ex-
traction of common features is the most distinct issue
Heterogeneous Face Biometrics
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