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...
Re-roll die A and sum A and B
Re-roll die B and sum A and B
Re-roll die A and sum A and B
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...
Re-roll die A and take A - B
Re-roll die B and take B - A
Re-roll die A and take A - B
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.
Can anyone illuminate the correct way to do this?
Edit: I'm looking to get high and low pass filtering with more dice, but am fine with the distribution changing from triangle to gaussian or other shapes.