Title :
Relationships Among Various 2-D Quaternion Fourier Transforms
Author_Institution :
Dept. of Electron. Eng., Nat. I-Lan Univ., I-Lan
fDate :
6/30/1905 12:00:00 AM
Abstract :
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.
Keywords :
Fourier transforms; image colour analysis; 2D quaternion Fourier transforms; color image processing; noncommutative property; quaternion algebra; signal analysis; Algebra; Filters; Fourier transforms; Helium; Image analysis; Image color analysis; Pattern analysis; Quaternions; Signal analysis; Signal processing; Quaternion; quaternion Fourier transform;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2008.2002714
