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计算机工程 ›› 2006, Vol. 32 ›› Issue (11): 44-46.

• 博士论文 • 上一篇    下一篇

基于类间散布矩阵的二维主分量分析

张生亮1,2,陈伏兵1,谢永华1,杨静宇1   

  1. 1. 南京理工大学计算机系,南京 210094;2. 山西财经大学信息与管理学院,太原 030006
  • 出版日期:2006-06-05 发布日期:2006-06-05

A Two-dimensional PCA Based on Between-class Scatter Matrix

ZHANG Shengliang1,2, CHEN Fubing1, XIE Yonghua1, YANG Jingyu1   

  1. 1. Department of Computer Science, Nanjing University of Science & Technology, Nanjing 210094; 2. College of Information and Management, Shanxi Finance and Economics University, Taiyuan 030006
  • Online:2006-06-05 Published:2006-06-05

摘要: 主分量分析是一种线性特征抽取方法,被广泛地应用在人脸等图像识别领域。但传统的PCA都以总体散布矩阵作为产生矩阵,并且要将作为图像的矩阵转换为列向量进行计算。该文给出了一种利用图像矩阵直接计算的二维PCA,以类间散布矩阵的本征向量作为投影方向,取得了比利用总体散布矩阵更好的识别效果,并且特征抽取速度更快。在ORL和NUSTFDBⅡ标准人脸库上的实验验证了该方法的有效性。

关键词: 主分量分析, 特征抽取, 本征脸, 人脸识别

Abstract: Principal component analysis (PCA) is an important method widely used in images data compression and feature extraction. But conventional PCA usually uses total scatter matrix as a generation matrix, and two-dimension (2D) image matrices must be transformed into vectors. This paper gives a 2D-PCA, which uses original image matrices to compute between-class covariance matrix and its eigenvectors are derived for images feature extraction. The experiments on ORL and NUSTFDBⅡface-databases indicate that the recognition rates are higher than PCA and 2D-PCA using total scatter matrix, and the speed of feature extraction is faster.

Key words: Principal component analysis (PCA), Feature extraction, Eigenfaces, Face recognition

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