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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
作者:  Cheng, Dong;  Kou, Kit Ian
收藏  |  浏览/下载:9/0  |  提交时间:2019/01/17
Quaternion Fourier transforms  multiplication formula  inversion theorem  Plancherel theorem  linear canonical transform  
Phase-based edge detection algorithms Journal article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018,Volume: 41,Issue: 11,Page: 4148-4169
作者:  Hu, Xiao-Xiao;  Kou, Kit Ian
收藏  |  浏览/下载:8/0  |  提交时间: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
作者:  Hu X.-X.;  Kou K.I.
收藏  |  浏览/下载:1/0  |  提交时间: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
作者:  Cheng D.;  Kou K.I.
收藏  |  浏览/下载:0/0  |  提交时间:2019/02/13
convolution theorem  generalized sampling expansions  generalized translation  quaternion Fourier transform  quaternion linear canonical transform  Quaternion-valued signals  
Generalized sampling expansions associated with quaternion Fourier transform Journal article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018,Volume: 41,Issue: 11,Page: 4021-4032
作者:  Cheng, Dong;  Kou, Kit Ian
收藏  |  浏览/下载:11/0  |  提交时间:2018/10/30
Quaternion-valued Signals  Quaternion Fourier Transform  Quaternion Linear Canonical Transform  Generalized Sampling Expansions  Generalized Translation  Convolution Theorem  
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
作者:  Cheng, Dong;  Kou, Kit Ian
收藏  |  浏览/下载:11/0  |  提交时间: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
作者:  Kou, Kit Ian;  Liu, Ming-Sheng;  Pedro Morais, Joao;  Zou, Cuiming
收藏  |  浏览/下载:9/0  |  提交时间: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
作者:  Yan, Cai-Ping;  Pun, Chi-Man
收藏  |  浏览/下载:0/0  |  提交时间: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
作者:  Kou, Kit Ian;  Yang, Yan;  Zou, Cuiming
收藏  |  浏览/下载:10/0  |  提交时间: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
作者:  Chen, Qiuhui;  Dang, Pei;  Qian, Tao
收藏  |  浏览/下载:10/0  |  提交时间:2018/10/30
Frame  Quaternion-hardy Space  Fourier Transform  Group Representation