> Consider when the algorithm places a point p and then samples its annulus to get a new point q.
I was confused for a while thinking p and q were swapped here, relative to the visualization below. [0] However I now think what I missed is that that the visualization is showing two points that are already firmly-established, and the question is where a potential third (unseen, unnamed) point could be placed.
So metaphorically speaking, it's about picking a new direction of travel that isn't guaranteed to be into your own recent footsteps.
[0] You might say I have problems minding my p's and q's.
For a low-discrepancy sequence you are usually trying to generate one point at a time, up to some arbitrary number. Here the goal is to generate (roughly) a specific number of points that fill a whole region.
So you probably could figure out a way to use this method to make a low-discrepancy sequence but it's probably not going to be particularly suitable compared to alternatives.
I love these kinds of problems, because they try to produce what humans perceive as random instead of something truly random. Another great example of this is blue noise
I was confused for a while thinking p and q were swapped here, relative to the visualization below. [0] However I now think what I missed is that that the visualization is showing two points that are already firmly-established, and the question is where a potential third (unseen, unnamed) point could be placed.
So metaphorically speaking, it's about picking a new direction of travel that isn't guaranteed to be into your own recent footsteps.
[0] You might say I have problems minding my p's and q's.
https://akkartik.name/post/2023-11-04-devlog
https://caseymuratori.com/blog_0011
So you probably could figure out a way to use this method to make a low-discrepancy sequence but it's probably not going to be particularly suitable compared to alternatives.