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Dithering in its simplest form can be understood by observing what happens when we quantise an image with and without modifying the source by random perturbation. In the examples below, a gradient of 256 grey levels is quantised to just black and white. Note how the dithered gradient is able to simulate a smooth transition from start to end.

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It’s also possible to abandon the threshold matrix altogether and instead calculate a value for every pixel coordinate at runtime. If the function is simple enough this can be a good and efficient way to break up patterns and create interesting textures.

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