I read a pretty cool article the other day: https://www.digido.com/ufaqs/dither-noise-probability-density-explained/
It says that if you have two dice (A and B) that you can roll both dice and then... 1) Re-roll die A and sum A and B 2) Re-roll die B and sum A and B 3) Re-roll die A and sum A and B 4) repeat to get a low pass filtered triangular noise distribution. It says that you can modify it for high pass filtered triangle noise by rolling both dice and then... 1) Re-roll die A and take A - B 2) Re-roll die B and take B - A 3) Re-roll die A and take A - B 4) repeat to get a high pass filtered triangular noise distribution. What i'm wondering is, what is the right thing to do if you want to do this with more than 2 dice? (going higher order) For low pass filtered noise with 3+ more dice (which would be more gaussian distributed than triangle), would you only re-roll one die each time, or would you reroll all BUT one die each time. I have the same question about the high pass filtered noise with 3+ more dice, but in that case I think i know what to do about the subtraction order... I think the right thing to do if you have N dice is to sum them all up, but after each "roll" you flip the sign of every die. What do you guys think?
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