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Green Image
Issue No. 11 - November (2009 vol. 31)
ISSN: 0162-8828
pp: 1968-1984
Yang Wang , Carnegie Mellon University, Pittsburgh
Lei Zhang , Stony Brook University, Stony Brook
Zicheng Liu , Microsoft Research, Redmond
Gang Hua , Microsoft Live Labs Research, Redmond
Zhen Wen , IBM T.J. Watson Research Center, Hawthorne
Zhengyou Zhang , Microsoft Research, Redmond
Dimitris Samaras , Stony Brook University, Stony Brook
In this paper, we present a new method to modify the appearance of a face image by manipulating the illumination condition, when the face geometry and albedo information is unknown. This problem is particularly difficult when there is only a single image of the subject available. Recent research demonstrates that the set of images of a convex Lambertian object obtained under a wide variety of lighting conditions can be approximated accurately by a low-dimensional linear subspace using a spherical harmonic representation. Moreover, morphable models are statistical ensembles of facial properties such as shape and texture. In this paper, we integrate spherical harmonics into the morphable model framework by proposing a 3D spherical harmonic basis morphable model (SHBMM). The proposed method can represent a face under arbitrary unknown lighting and pose simply by three low-dimensional vectors, i.e., shape parameters, spherical harmonic basis parameters, and illumination coefficients, which are called the SHBMM parameters. However, when the image was taken under an extreme lighting condition, the approximation error can be large, thus making it difficult to recover albedo information. In order to address this problem, we propose a subregion-based framework that uses a Markov random field to model the statistical distribution and spatial coherence of face texture, which makes our approach not only robust to extreme lighting conditions, but also insensitive to partial occlusions. The performance of our framework is demonstrated through various experimental results, including the improved rates for face recognition under extreme lighting conditions.
Face synthesis and recognition, Markov random field, 3D spherical harmonic basis morphable model, vision for graphics.

Z. Liu et al., "Face Relighting from a Single Image under Arbitrary Unknown Lighting Conditions," in IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 31, no. , pp. 1968-1984, 2008.
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