DocumentCode
978274
Title
Relationships Among Various 2-D Quaternion Fourier Transforms
Author
Yeh, Min-Hung
Author_Institution
Dept. of Electron. Eng., Nat. I-Lan Univ., I-Lan
Volume
15
fYear
2008
fDate
6/30/1905 12:00:00 AM
Firstpage
669
Lastpage
672
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;
fLanguage
English
Journal_Title
Signal Processing Letters, IEEE
Publisher
ieee
ISSN
1070-9908
Type
jour
DOI
10.1109/LSP.2008.2002714
Filename
4666763
Link To Document