This time, before we perturb the input image, we take the value given by the threshold matrix and divide it by , where is the number of levels for each colour component. As a result, each pixel is perturbed just enough to cover the minimal distance between two colours in the palette. Since the entire palette is evenly distributed across colour space, we only need to modify the range of perturbation along each axis. The dithering equation then becomes:
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Intuitively, it’s not too difficult to understand why this is the case. Remember that error-diffusion works in response to the relationship between the input value and the quantised value. In other words, the colour palette is already factored in during the dithering process. On the other hand, ordered dithering is completely agnostic to the colour palette being used. Images are perturbed the same way every time, regardless of the given palette.
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