Relationships Among Various 2-D Quaternion Fourier Transforms
Min-Hung Yeh · IEEE Signal Processing Letters · 2008
The recently developed quaternion Fourier transform (QFT) based on quaternion algebra has been found useful for color image processing and signal analysis. However, due to the noncommutative property of quaternion algebra, there exist various definitions for the QFT. The purpose of this letter is to establish and present an in-depth discussion on the relationships among the various QFTs.