基于PDE形变模型的三维人脸识别算法研究

3D face recognition algorithm based on partial differential equations deformable model

针对三维人脸识别受表情变化和遮挡情况影响的问题,提出一种基于PDE形变模型的三维人脸识别算法。首先采用自适应的PDE方法对三维人脸重建,并将PDE表示的三维人脸离散地表示成傅里叶级数的形式,用主成分分析对获得的几何残差进行训练学习,最后建立了结合人脸表情形变和遮挡形变的基于傅里叶级数表示的人脸形变模型,在该模型上获取映射信息进行人脸识别。实验结果表明,该模型对三维人脸形变模型具有良好的描述能力,在人脸表情变化和被遮挡时有更好的鲁棒性和识别率。

According to the problem that expression changes and occlusion affected the three-dimensional face recognition, this paper proposed a three-dimensional face recognition algorithm based on deformable model PDE （ partial differential equa- tions）. First, it used adaptive PDE method to reconstruct the three-dimensional facial, and represented three-dimensional face with a PDE＇ s in the form of a Fourier series. Then, it trained geometric residuals by principal component analysis. Finally, it established facial deformation model based on Fourier series, which included facial expression deformation and occlusion de- formation. Results show that the algorithm model has good description ability in many applications.