3D人脸姿态校正的几何代数不变量方法

3D Face Pose Correction Based on Geometrical Invariance by Geometrical Algebra Theory

多模态3D人脸曲面存在姿态自由,表情丰富的特征,这给人脸的特征提取及提高分类器的识别率带来困难,因此需要对人脸样本进行姿态矫正.本文提出的基于几何代数(Geometrical Algebra)不变量方法的3D人脸姿态校正策略,计算非标准姿态样本与参考标准样本的几何代数不变量,并且快速计算彼此不变量之间的空间几何关系,实现不同人脸曲面的空间姿态校正.实验结果表明:该方法对与标准姿态人脸样本相同、相异身份人的样本都能较好的实现姿态校正,并且几何意义直观,计算简单,校正精度高.

Multi-modal 3D face surface has the characteristics of free space attitude and rich expression, which brings inconvenience and difficulties to feature extraction of face data and improve the recognition rate of classifier,it needs pose correction for face sam- ples. 3D face posture correction strategy based on the method of Geometrical Algebra invariant proposed by this paper, which calcu- lates the corresponding geometrical algebra invariant of samples for calibration and the standard samples, and estimates the spatial geo- metric relationships of invariant between each other quickly, realizes space attitude correction for different facial surface. The experi- mental results show that the method can achieve a better posture correction for the samples of people with different identity but has the standard pose face, have the features of intuitive geometric meaning,simple calculation and high correction precision.