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The discrete quaternion Fourier transform

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1 Author(s)
Sangwine, S.J. ; Reading Univ., UK

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

Published in:

Image Processing and Its Applications, 1997., Sixth International Conference on  (Volume:2 )

Date of Conference:

14-17 Jul 1997