期刊
SIGNAL PROCESSING
卷 198, 期 -, 页码 -出版社
ELSEVIER
DOI: 10.1016/j.sigpro.2022.108560
关键词
Hermitian quaternion matrix; Structure-preserving algorithm; Joint diagonalization; Face recognition; Linear discriminant analysis
资金
- National Natural Science Foundation of China [12171210, 12090011, 11771188]
- Major Projects of Universities in Jiangsu Province [21KJA110001]
- Postgraduate Research and Practice Innovation Program of Jiangsu Province [KYCX21_2161]
- Priority Academic Program Development Project
- Top-notch Academic Programs Projectof Jiangsu Higher Education Institutions [PPZY2015A013]
This article presents a new joint diagonalization algorithm for a pair of Hermitian quaternion matrices and proposes a two-dimensional quaternion linear discriminant analysis (2D-QLDA) method based on this algorithm for color face recognition and image reconstruction. The method outperforms other methods in color face recognition and image reconstruction.
A new joint diagonalization algorithm for a pair of Hermitian quaternion matrices is derived incorporating real structure-preserving strategy. The structure-preserving joint diagonalization algorithm leads to a novel two-dimensional quaternion linear discriminant analysis (2D-QLDA) method for color face recognition and image reconstruction. 2D-QLDA is mathematically characterized by Hermitian quaternion generalized eigenvalue problem. A weighted norm is obtained as a new measurement to determine the distances among Fisher feature matrices, which helps us avoid generating projected images explicitly. Numerical results based on the real face databases indicate that 2D-QLDA performs better than other 2D-LDA-like methods in color face recognition and is effective in image reconstruction. (c) 2022 Elsevier B.V. All rights reserved.
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