article
Fourier transforms of colour images usingquaternion or hypercomplex, numbers
Electronics Letters · 1996 · Vol. 32(21) · pp. 1979–1980
Stephen J. Sangwine✉(University of Reading)
Abstract
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.
Image and Signal Denoising MethodsMathematical Analysis and Transform MethodsAdvanced Vision and ImagingHypercomplex numberQuaternionMonochromeMathematicsFrequency domainFourier transformArtificial intelligenceComputer visionDiscrete Fourier transform (general)Fractional Fourier transform
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