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Fourier transforms of colour images using quaternion or hypercomplex, numbers

Fourier transforms of colour images using quaternion or hypercomplex, numbers

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The 2D quaternion, or hypercomplex, Fourier transform is introduced. This transform makes possible the handling of colour images in the frequency domain in a holistic manner, without separate handling of the colour components, and it thus makes possible very wide generalisation of monochrome frequency domain techniques to colour images.

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