A New Two-Phase Method of Face Recognition Based on Image Matrix

Yong-Zhi Li, Jing-yu Yang, Songsong Wu, Fen-Xiang Liu
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Abstract

This paper proposes a two-phase algorithm of image projection discriminant analysis. The new discriminant method is composed of feature extraction by on maximum margin criterion (MMC) and Fisher discriminant analysis (FDA). The algorithm includes two stages: firstly, the feature extraction based on maximum margin criterion (MMC) is employed to condense the dimension of image matrix; Then Fisher discriminant analysis (FDA) is applied to reduce dimension of condensed image matrices. This novel method based on image matrix is called 2DMMCplu2DFDA in the paper. Different from the previous linear discriminant analysis method for face recognition where FDA or PCA is based on image vector, 2DMMCplus2DFDA is to exploit image matrices to directly construct the between-class scatter matrix, within-class scatter matrix and total-class scatter matrix. The experimental results on ORL face databases indicate that the proposed method is more efficient and stable than 2DPCA, 2DMMC and 2DPCAplus2DFDA with higher recognition rate.
基于图像矩阵的两相人脸识别新方法
提出了一种两阶段图像投影判别分析算法。该判别方法由最大边际准则(MMC)特征提取和Fisher判别分析(FDA)组成。该算法包括两个阶段:首先,采用基于最大边界准则(MMC)的特征提取来压缩图像矩阵的维数;然后应用Fisher判别分析(FDA)对压缩图像矩阵进行降维。本文将这种基于图像矩阵的新方法称为2DMMCplu2DFDA。与以往基于图像矢量的FDA或PCA的人脸识别线性判别分析方法不同,2DMMCplus2DFDA是利用图像矩阵直接构造类间散点矩阵、类内散点矩阵和全类散点矩阵。在ORL人脸数据库上的实验结果表明,该方法比2DPCA、2DMMC和2DPCAplus2DFDA更有效、更稳定,识别率更高。
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