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math.CA2022
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…
math.CA2016
Quaternion Fourier and Linear Canonical Inversion Theorems
Xiao Xiao Hu, Kit Ian Kou
The Quaternion Fourier transform (QFT) is one of the key tools in studying color image processing. Indeed, a deep understanding of the QFT has created the color images to be transf…