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Plancherel theorem and quaternion Fourier transform for square integrable functions Journal article
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2019,Volume: 64,Issue: 2,Page: 223-242
Authors:  Cheng, Dong;  Kou, Kit Ian
Favorite | View/Download:18/0 | TC[WOS]:10 TC[Scopus]:12 | Submit date:2019/01/17
Quaternion Fourier transforms  multiplication formula  inversion theorem  Plancherel theorem  linear canonical transform  
Two-dimensional Quaternion PCA and Sparse PCA Journal article
IEEE Transactions on Neural Networks and Learning Systems, 2018,Page: 1 - 15
Authors:  Xiaolin Xiao;  Yicong Zhou
Favorite | View/Download:16/0 | TC[WOS]:0 TC[Scopus]:10 | Submit date:2019/03/26
2d-principle Component Analysis (2d-pca)  2d-quaternion Pca (2d-qPca)  2d-quaternion Sparse Pca (2d-qsPca)  Color Face Recognition  Feature Extraction  Partial Occlusions  Qpca  
Quaternion Sparse Discriminant Analysis for Color Face Recognition Conference paper
2018 IEEE International Conference on Multimedia and Expo (ICME), San Diego, CA, USA, 23-27 July 2018
Authors:  Xiaolin Xiao;  Yicong Zhou
Favorite | View/Download:9/0 | TC[WOS]:0 TC[Scopus]:2 | Submit date:2019/03/26
Qsda  Feature Extraction  Color Face Recognition  Partial Occlusion  
Two-Dimensional Quaternion Sparse Principal Component Analysis Conference paper
2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Calgary, AB, Canada, 15-20 April 2018
Authors:  Xiaolin Xiao;  Yicong Zhou
Favorite | View/Download:13/0 | TC[WOS]:2 TC[Scopus]:2 | Submit date:2019/03/26
2dpca  Quaternion  Sparse  Color Face Recognition  
Phase-based edge detection algorithms Journal article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018,Volume: 41,Issue: 11,Page: 4148-4169
Authors:  Hu, Xiao-Xiao;  Kou, Kit Ian
Favorite | View/Download:21/0 | TC[WOS]:0 TC[Scopus]:1 | Submit date:2018/10/30
edge detection  Hardy space  Plemelj-Sokhotzkis formulae  quaternion analytic signal  quaternion Fourier transform  
Generalized sampling expansions associated with quaternion Fourier transform Journal article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018,Volume: 41,Issue: 11,Page: 4021-4032
Authors:  Cheng, Dong;  Kou, Kit Ian
Favorite | View/Download:22/0 | TC[WOS]:3 TC[Scopus]:3 | Submit date:2018/10/30
Quaternion-valued Signals  Quaternion Fourier Transform  Quaternion Linear Canonical Transform  Generalized Sampling Expansions  Generalized Translation  Convolution Theorem  
Laplace transform: a new approach in solving linear quaternion differential equations Journal article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018,Volume: 41,Issue: 11,Page: 4033-4048
Authors:  Cai, Zhen-Feng;  Kou, Kit Ian
Favorite | View/Download:34/0 | TC[WOS]:8 TC[Scopus]:8 | Submit date:2018/10/30
Quaternion  Quaternion Differential Equations  Initial Value Problems  Laplace Transform  
Solving Quaternion Ordinary Differential Equations with Two-Sided Coefficients Journal article
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2018,Volume: 17,Issue: 2,Page: 441-462
Authors:  Cai, Zhen Feng;  Kou, Kit Ian
Favorite | View/Download:20/0 | TC[WOS]:3 TC[Scopus]:3 | Submit date:2018/10/30
Differential Equations  Quaternions  Two-sided Coefficients  Solution  Noncommutativity  
Linear Quaternion Differential Equations: Basic Theory and Fundamental Results Journal article
STUDIES IN APPLIED MATHEMATICS, 2018,Volume: 141,Issue: 1,Page: 3-45
Authors:  Kou, Kit Ian;  Xia, Yong-Hui
Favorite | View/Download:33/0 | TC[WOS]:14 TC[Scopus]:14 | Submit date:2018/10/30
Quaternion Locality-Constrained Coding for Color Face Hallucination Journal article
IEEE TRANSACTIONS ON CYBERNETICS, 2018,Volume: 48,Issue: 5,Page: 1474-1485
Authors:  Liu, Licheng;  Li, Shutao;  Chen, C. L. Philip
Favorite | View/Download:18/0 | TC[WOS]:11 TC[Scopus]:14 | Submit date:2018/10/30
Color image processing  face hallucination  image super-resolution  locality-constrained coding (LCC)  quaternion algebra