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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:14/0  |  Submit date:2019/01/17
Quaternion Fourier transforms  multiplication formula  inversion theorem  Plancherel theorem  linear canonical 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:13/0  |  Submit date:2018/10/30
Quaternion-valued Signals  Quaternion Fourier Transform  Quaternion Linear Canonical Transform  Generalized Sampling Expansions  Generalized Translation  Convolution Theorem  
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:13/0  |  Submit date:2018/10/30
edge detection  Hardy space  Plemelj-Sokhotzkis formulae  quaternion analytic signal  quaternion Fourier transform  
Phase-based edge detection algorithms Conference paper
Mathematical Methods in the Applied Sciences
Authors:  Hu X.-X.;  Kou K.I.
Favorite  |  View/Download:3/0  |  Submit date:2019/02/13
edge detection  Hardy space  Plemelj-Sokhotzkis formulae  quaternion analytic signal  quaternion Fourier transform  
Generalized sampling expansions associated with quaternion Fourier transform Conference paper
Mathematical Methods in the Applied Sciences
Authors:  Cheng D.;  Kou K.I.
Favorite  |  View/Download:2/0  |  Submit date:2019/02/13
convolution theorem  generalized sampling expansions  generalized translation  quaternion Fourier transform  quaternion linear canonical transform  Quaternion-valued signals  
Novel Sampling Formulas Associated with Quaternionic Prolate Spheroidal Wave functions Journal article
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2017,Volume: 27,Issue: 4,Page: 2961-2983
Authors:  Cheng, Dong;  Kou, Kit Ian
Favorite  |  View/Download:15/0  |  Submit date:2018/10/30
Spectral Theorem  Prolate Spheroidal Wave Function  Quaternion Reproducing-kernel Hilbert Spaces  Quaternion Fourier Transform  Whittaker-shannon-kotel'nikov Sampling Formula  
Envelope detection using generalized analytic signal in 2D QLCT domains Journal article
MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2017,Volume: 28,Issue: 4,Page: 1343-1366
Authors:  Kou, Kit Ian;  Liu, Ming-Sheng;  Pedro Morais, Joao;  Zou, Cuiming
Favorite  |  View/Download:19/0  |  Submit date:2018/10/30
Quaternion Fourier Transform  Quaternion Linear Canonical Transform  Hilbert Transform  Analytic Signal  Instantaneous Amplitude  
Multi-Scale Difference Map Fusion for Tamper Localization Using Binary Ranking Hashing Conference paper
IEEE Transactions on Information Forensics and Security, Hong Kong, China, 2018-12
Authors:  Yan, Cai-Ping;  Pun, Chi-Man
Favorite  |  View/Download:4/0  |  Submit date:2019/07/30
Image Hashing  Tamper Detection  Multi-scale Fusion  Manifold Ranking  Quaternion Fourier-mellin Moments  Quaternion Fourier Transform  
Uncertainty principle for measurable sets and signal recovery in quaternion domains Journal article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017,Volume: 40,Issue: 11,Page: 3892-3900
Authors:  Kou, Kit Ian;  Yang, Yan;  Zou, Cuiming
Favorite  |  View/Download:15/0  |  Submit date:2018/10/30
Signal Recovery  Uncertainty Principle  Quaternion Fourier Transform  
A Frame Theory of Hardy Spaces with the Quaternionic and the Clifford Algebra Settings Journal article
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2017,Volume: 27,Issue: 2,Page: 1073-1101
Authors:  Chen, Qiuhui;  Dang, Pei;  Qian, Tao
Favorite  |  View/Download:13/0  |  Submit date:2018/10/30
Frame  Quaternion-hardy Space  Fourier Transform  Group Representation