28 citations · 124 across the 16 of their papers we have counts for
16 papers
FFT reconstruction of signals from MIMO sampled data
Dong Cheng, Xiaoxiao Hu, Kit Ian Kou
This paper introduces an innovative approach for signal reconstruction using data acquired through multi-input-multi-output (MIMO) sampling. First, we show that it is possible to p…
The Color Clifford Hardy Signal: Application to Color Edge Detection and Optical Flow
Xiaoxiao Hu, Kit Ian Kou, Cuiming Zou +1
This paper introduces the idea of the color Clifford Hardy signal, which can be used to process color images. As a complex analytic function's high-dimensional analogue, the color…
Convolution theorems associated with quaternion linear canonical transform and applications
Xiaoxiao Hu, Dong Cheng, Kit Ian Kou
Novel types of convolution operators for quaternion linear canonical transform (QLCT) are proposed. Type one and two are defined in the spatial and QLCT spectral domains, respectiv…
Monogenic Signal Associated with Linear Canonical Transform and Application to Edge Detection Problems
Dong Cheng, Kit Ian Kou
Monogenic signal is regarded as a generalization of analytic signal from the one dimensional space to the high dimensional space. It is defined by an original signal with the combi…
Quaternion Tensor Train Rank Minimization with Sparse Regularization in a Transformed Domain for Quaternion Tensor Completion
Jifei Miao, Kit Ian Kou, Liqiao Yang +1
The tensor train rank (TT-rank) has achieved promising results in tensor completion due to its ability to capture the global low-rankness of higher-order (>3) tensors. On the other…
Signal reconstruction from noisy multichannel samples
Dong Cheng, Xiaoxiao Hu, Kit Ian Kou
We consider the signal reconstruction problem under the case of the signals sampled in the multichannel way and with the presence of noise. Observing that if the samples are inexac…
A Robust Lane Detection Associated with Quaternion Hardy Filter
Wenshan Bi, Dong Cheng, Kit Ian Kou
In this article, a robust color-edge feature extraction method based on the Quaternion Hardy filter is proposed. The Quaternion Hardy filter is an emerging edge detection theory. I…
A Robust Color Edge Detection Algorithm Based on Quaternion Hardy Filter
Wenshan Bi, Dong Cheng, Kit Ian Kou
This paper presents a robust filter called quaternion Hardy filter (QHF) for color image edge detection. The QHF can be capable of color edge feature enhancement and noise resistan…
Sampling expansions associated with quaternion difference equations
Dong Cheng, Kit Ian Kou, Yonghui Xia +1
Starting with a quaternion difference equation with boundary conditions, a parameterized sequence which is complete in finite dimensional quaternion Hilbert space is derived. By em…
Floquet Theory for Quaternion-valued Differential Equations
Dong Cheng, Kit Ian Kou, Yong Hui Xia
This paper describes the Floquet theory for quaternion-valued differential equations (QDEs). The Floquet normal form of fundamental matrix for linear QDEs with periodic coefficient…
Multichannel reconstruction from nonuniform samples with application to image recovery
Dong Cheng, Kit Ian Kou
The multichannel trigonometric reconstruction from uniform samples was proposed recently. It not only makes use of multichannel information about the signal but is also capable to…
FFT Multichannel Interpolation and Application to Image Super-resolution
Dong Cheng, Kit Ian Kou
This paper presents an innovative set of tools to support a methodology for the multichannel interpolation (MCI) of a discrete signal. It is shown that a bandlimited signal can…
Novel sampling formulas associated with quaternionic prolate spheroidal wave functions
Dong Cheng, Kit Ian Kou
The Whittaker-Shannon-Kotel'nikov (WSK) sampling theorem provides a reconstruction formula for the bandlimited signals. In this paper, a novel kind of the WSK sampling theorem is e…
Plancherel theorem and quaternion Fourier transform for square integrable functions
Dong Cheng, Kit Ian Kou
The quaternion Fourier transform (QFT), a generalization of the classical 2D Fourier transform, plays an increasingly active role in particular signal and colour image processing.…
A Unified Analysis of Linear Quaternion Dynamic Equations on Time Scales
Dong Cheng, Kit Ian Kou, Yong Hui Xia
Over the last years, considerable attention has been paid to the role of the quaternion differential equations (QDEs) which extend the ordinary differential equations. The theory o…
Generalized Sampling Expansions Associated with Quaternion Fourier Transform
Dong Cheng, Kit Ian Kou
Quaternion-valued signals along with quaternion Fourier transforms (QFT)provide an effective framework for vector-valued signal and image processing. However, the sampling theory o…