Name
Abstract | ||
|---|---|---|
Linear discriminant analysis has been incorporated with various representations and measurements for dimension reduction and feature extraction. In this paper, we propose two-dimensional quaternion sparse discriminant analysis (2D-QSDA) that meets the requirements of representing RGB and RGB-D images. 2D-QSDA advances in three aspects: 1) including sparse regularization, 2D-QSDA relies only on the important variables, and thus shows good generalization ability to the out-of-sample data which are unseen during the training phase; 2) benefited from quaternion representation, 2D-QSDA well preserves the high order correlation among different image channels and provides a unified approach to extract features from RGB and RGB-D images; 3) the spatial structure of the input images is also retained via the matrix-based processing. We tackle the constrained trace ratio problem of 2D-QSDA by solving a corresponding constrained trace difference problem, which is then transformed into a quaternion sparse regression (QSR) model. Afterward, we reformulate the QSR model to an equivalent complex form to avoid the processing of the complicated structure of quaternions. A nested iterative algorithm is designed to learn the solution of 2D-QSDA in the complex space and then we convert this solution back to the quaternion domain. To improve the separability of 2D-QSDA, we further propose 2D-QSDA(w) using the weighted pairwise between-class distances. Extensive experiments on RGB and RGB-D databases demonstrate the effectiveness of 2D-QSDA and 2D-QSDA(w) compared with peer competitors. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1109/TIP.2019.2947775 | IEEE TRANSACTIONS ON IMAGE PROCESSING |
Keywords | DocType | Volume |
Quaternions, Feature extraction, Dimensionality reduction, Training, Correlation, Covariance matrices, Linear discriminant analysis, 2D-QSDA, dimension reduction, sparse feature extraction, RGB image, RGB-D image | Journal | 29 |
Issue | ISSN | Citations |
1 | 1057-7149 | 2 |
PageRank | References | Authors |
0.35 | 22 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xiaolin Xiao | 1 | 36 | 6.57 |
| Yongyong Chen | 2 | 74 | 12.11 |
| Yue-jiao Gong | 3 | 691 | 41.19 |
| Yicong Zhou | 4 | 1822 | 108.83 |