We introduce the colour as a third dimension of images and extend the definition of Fourier transform to these three variable light distributions. Firstly we study the properties of the three-dimensional (3D) Fourier transform of these images, paying special attention to the properties of the colour variable transformation. Then, 3D correlation is introduced for these images and it is applied to pattern recognition of colour images. Some properties of correlation are extracted from the special characteristics of the third variable (the colour), like the special interpretation of the shift invariance along the colour dimension.
|Publication status||Published - 15 Oct 2000|