DocumentCode :
3374671
Title :
The discrete quaternion Fourier transform
Author :
Sangwine, S.J.
Author_Institution :
Reading Univ., UK
Volume :
2
fYear :
1997
fDate :
14-17 Jul 1997
Firstpage :
790
Abstract :
This paper presents a two-dimensional discrete Fourier transform (DFT), applicable to colour images (and multispectral images generally). It is based on quaternion numbers, which may be thought of as a generalisation of the complex numbers with one real part and three imaginary parts. The transform is referred to the discrete quaternion Fourier transform (DQFT). The DQFT is a useful generalisation of the two-dimensional complex DFT to the case of images with more than two (but not more than four) image components. Natural colour images are a significant example of such images and their three components, for example, red, green and blue, may now be transformed as a whole. There are some important further theoretical steps needed, however, to make generalisation of monochrome frequency domain techniques in image processing widely applicable to colour and other multispectral images
Keywords :
image colour analysis; DQFT; colour images; complex numbers; discrete quaternion Fourier transform; image components; image processing; monochrome frequency domain techniques; multispectral images; quaternion numbers; two-dimensional complex DFT; two-dimensional discrete Fourier transform;
fLanguage :
English
Publisher :
iet
Conference_Titel :
Image Processing and Its Applications, 1997., Sixth International Conference on
Conference_Location :
Dublin
ISSN :
0537-9989
Print_ISBN :
0-85296-692-X
Type :
conf
DOI :
10.1049/cp:19971004
Filename :
615636
Link To Document :
بازگشت