Conformal mapping-based 3D face recognition

In this paper we present a conformal mapping-based ap-proach for 3D face recognition. The proposed approach makes use of conformal UV parameterization for mapping purpose and Shape Index decomposition for similarity mea-surement. Indeed, according to conformal geometry theory, each 3D surface with disk topology can be mapped onto a 2D domain through a global optimization, resulting in a diffeomorphism, i.e., one-to-one and onto. This allows us to reduce the 3D surface matching problem to a 2D image matching one by comparing the corresponding 2D confor-mal geometric maps. To deal with facial expressions, the Möbius transformation of UV conformal space has been used to ’compress ’ face mimic region. Rasterized images are used as an input for (2D)2PCA recognition algorithm. Experimented on 62 subjects randomly selected from the FRGC dataset v2 which includes different facial expres-sions, the proposed method displays a 86.43%, 97.65 % and 69.38 rank-one recognition rate in respectively Neutral vs. All, Neutral vs. Neutral and Neutral vs. Expression scenar-ios