Here, we propose a new 3D representation designed in the objective of face recognition independently of the expressions. It is defined on localities presenting limited deformations following expression variations. The proposed representation is based on the multipolar parameterization that we recently introduced in Jribi et al. (2019) which is relative invariant under three dimensional Euclidean transformations and robust to the original mesh. A choice of the number of reference points of each multipolar parameterization is made according to the shape of the two types of region of the face namely those of nose and the eyes. The main curvature field is estimated on the parameterizations of each region. The parameters of dimensional reduction algorithms applied to the overall description are adjusted so that the recognition rates remain efficient. The experiments are carried out on three challenging 3D face databases: the FRGC v2.0, the BU-3DFE and Bosphorus. Very high rates are obtained for both identification and verification scenarios. These results are very competitive with state of the art methods.

在这里，我们提出了一种新的 3D 表示，旨在独立于表情的人脸识别目标。它是在表达变化后呈现有限变形的位置上定义的。所提出的表示基于我们最近在 Jribi 等人中引入的多极参数化。(2019) 在三维欧几里得变换下相对不变并且对原始网格具有鲁棒性。每个多极参数化的参考点数量的选择是根据面部的两种区域即鼻子和眼睛区域的形状来进行的。在每个区域的参数化上估计主曲率场。调整应用于整体描述的降维算法的参数，以便识别率保持有效。实验在三个具有挑战性的 3D 人脸数据库上进行：FRGC v2.0、BU-3DFE 和 Bosphorus。识别和验证场景都获得了非常高的比率。这些结果与最先进的方法非常有竞争力。