Block-Wise Two-Dimensional Maximum Margin Criterion for Face Recognition
Maximum margin criterion (MMC) is a well-known method for feature extraction and dimensionality reduction. However, MMC is based on vector data and fails to exploit local characteristics of image data. In this paper, we propose a two-dimensional generalized framework based on a block-wise approach f...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/875090 |
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| _version_ | 1832558075865726976 |
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| author | Xiao-Zhang Liu Guan Yang |
| author_facet | Xiao-Zhang Liu Guan Yang |
| author_sort | Xiao-Zhang Liu |
| collection | DOAJ |
| description | Maximum margin criterion (MMC) is a well-known method for feature
extraction and dimensionality reduction. However, MMC is based on
vector data and fails to exploit local characteristics of image
data. In this paper, we propose a two-dimensional generalized
framework based on a block-wise approach for MMC, to deal with
matrix representation data, that is, images. The proposed method,
namely, block-wise two-dimensional maximum margin criterion
(B2D-MMC), aims to find local subspace projections using
unilateral matrix multiplication in each block set, such that in
the subspace a block is close to those belonging to the same class
but far from those belonging to different classes. B2D-MMC avoids
iterations and alternations as in current bilateral projection
based two-dimensional feature extraction techniques by seeking a
closed form solution of one-side projection matrix for each block
set. Theoretical analysis and experiments on benchmark face
databases illustrate that the proposed method is effective and
efficient. |
| format | Article |
| id | doaj-art-f82294d8b8934aa1936244b554d2d29b |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-f82294d8b8934aa1936244b554d2d29b2025-02-03T01:33:22ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/875090875090Block-Wise Two-Dimensional Maximum Margin Criterion for Face RecognitionXiao-Zhang Liu0Guan Yang1School of Computer Science, Dongguan University of Technology, Dongguan 523808, ChinaSchool of Computer Science, Zhongyuan University of Technology, Zhengzhou 450007, ChinaMaximum margin criterion (MMC) is a well-known method for feature extraction and dimensionality reduction. However, MMC is based on vector data and fails to exploit local characteristics of image data. In this paper, we propose a two-dimensional generalized framework based on a block-wise approach for MMC, to deal with matrix representation data, that is, images. The proposed method, namely, block-wise two-dimensional maximum margin criterion (B2D-MMC), aims to find local subspace projections using unilateral matrix multiplication in each block set, such that in the subspace a block is close to those belonging to the same class but far from those belonging to different classes. B2D-MMC avoids iterations and alternations as in current bilateral projection based two-dimensional feature extraction techniques by seeking a closed form solution of one-side projection matrix for each block set. Theoretical analysis and experiments on benchmark face databases illustrate that the proposed method is effective and efficient.http://dx.doi.org/10.1155/2014/875090 |
| spellingShingle | Xiao-Zhang Liu Guan Yang Block-Wise Two-Dimensional Maximum Margin Criterion for Face Recognition The Scientific World Journal |
| title | Block-Wise Two-Dimensional Maximum Margin Criterion for Face Recognition |
| title_full | Block-Wise Two-Dimensional Maximum Margin Criterion for Face Recognition |
| title_fullStr | Block-Wise Two-Dimensional Maximum Margin Criterion for Face Recognition |
| title_full_unstemmed | Block-Wise Two-Dimensional Maximum Margin Criterion for Face Recognition |
| title_short | Block-Wise Two-Dimensional Maximum Margin Criterion for Face Recognition |
| title_sort | block wise two dimensional maximum margin criterion for face recognition |
| url | http://dx.doi.org/10.1155/2014/875090 |
| work_keys_str_mv | AT xiaozhangliu blockwisetwodimensionalmaximummargincriterionforfacerecognition AT guanyang blockwisetwodimensionalmaximummargincriterionforfacerecognition |