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基于类间散布矩阵的二维主分量分析
A Two-dimensional PCA Based on Between-class Scatter Matrix
【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。
【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;
- 【文献出处】 计算机工程 ,Computer Engineering , 编辑部邮箱 ,2006年11期
- 【分类号】TP391.41
- 【被引频次】22
- 【下载频次】453