There is an error-diffusion dithering algorithm based on the Hilbert-curve called Riemersma dither. https://www.compuphase.com/riemer.htm https://www.compuphas

There is an error-diffusion dithering algorithm based on the Hilbert-curve called Riemersma dither. https://www.compuphase.com/riemer.htm https://www.compuphase.com/riemer.htm I suspect that error diffusion along the long jumps of a z-order curve could create strange undesired artifacts.