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Comment by goodmachine

"In fact, people have actually made spatial pattern generators that allow you to input the frequency profile that you want, and get the corresponding point pattern out. It’s really quite neat, and I highly recommend reading this paper so you can see some other possible noise parameters, like anisotropy."

I had to hunt this 'custom colour' noise paper out since that link was dead. It is quite neat. Here it is on ACM in case anyone else is interested:

Point Sampling with General Noise Spectrum (2012) https://dl.acm.org/doi/10.1145/2185520.2185572

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