Linear Discriminant Analysis Essay

873 Words2 Pages

Linear Discriminant Analysis (LDA) Linear Discriminant Analysis (LDA), also known as Fisherface method, uses the Fisher’s linear discriminant criterion to overcome the limitations of eigenfaces method (Batagelj, 2006). This criterion tries to maximize the ratio of the determinant of the between-class scatter matrix of the projected samples to the determinant of the within-class scatter matrix of the projected samples. The aim is to maximize the between-class scatter while minimizing the within-class scatter. This approach includes two processes, training and classification (Chelali, Djeradi & Dejradi, 2009). In the training process, a subspace will be established by using the training samples, and then the training faces will be projected onto the same subspace. In the classification process, the input face image will be measured by Euclidean Distance to the subspace, and a decision will be made, either accept or reject. Background and Related Work Fisher discriminants group images of the same space and separates images of different classes (Delac, Grgic, 2006). Images are projected from N2 dimensional space to C dimensional space that are projected onto a single line. Depending on the direction of the line, the points can either be mixed together, or separated (Batagelj, 2006). Figure1: The points are mixed together Figure2: The points are separated Fisher discriminants find the line that best separates the points. To identify an input test image, the projected test image is compared to each projected training image, and the test image is identified as the closest training image (Zhao, Chellappa & Phillips, 1999). As with eigenspace projection, training images are projected into a subspace. The te... ... middle of paper ... ... analysis for face recognition. (Master's thesis), Available from IEEE. (978-1-4244-3757-3/09/). [2] Kresimir Delac, Mislav Grgic, Sonja Grgic. (2006). Independent comparative Study of PCA, ICA and LDA on the FERET data Set. Wiley periodicals,Inc. vol15,p252-260. [3] W. Zhao, R. Chellappa and P. J. Phillips, (April 1999). Subspace Linear Discriminant Analysis for Face Recognition. Tech. rep. CAR-TR-914, Center for Automation Research, University of Maryland, College Park, MD. [4] Borut Batagelj, (May 2006). Face recognition in different subspaces - A comparative study”, 6th International Workshop on Pattern Recognition in Information Systems, PRIS 2006 in conjunction with ICEIS 2006, Paphos, Cyprus. [5] Kresimir Delac, Mislav Grgic, Panos Liatsis. (March 2005). Appearance based statistical methods for face recognition. The 47th international symposium EL, Croatia.

Open Document