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Apr 18, 2020 at 15:41 vote accept Voko
Apr 18, 2020 at 15:41 comment added Voko Thank you so much for your detailed answer, now it's clear to me
Apr 18, 2020 at 14:21 comment added wychmaster So, I updated my answer, after I did some lengthy, insightful calculations.
Apr 18, 2020 at 14:21 history edited wychmaster CC BY-SA 4.0
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Apr 17, 2020 at 19:42 comment added wychmaster You are right. I have adjusted my answer for now and will further enhance it tomorrow. Running out of time today. However, even though the algorithm is not always taking the closer pixel, it only picks the wrong one if both distances are really close to each other. So you probably can't tell by just looking at the circle, that the wrong one was choosen.
Apr 17, 2020 at 19:37 history edited wychmaster CC BY-SA 4.0
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Apr 17, 2020 at 17:08 comment added Voko This explanation would have been so convincing and I had really hoped it was that simple, but if we take the square of the distance, we don't get this beautiful $x_{k+1}^2 + y_k^2 - r^2$ but instead a weird $x_{k+1}^2+y_k^2 - 2r\sqrt{x_{k+1}^2+y_k^2}+r^2$, and so I still can't see the link between this weird thing and the actual $f(N)$ that we use in the algorithm.
Apr 17, 2020 at 12:14 history rollback wychmaster
Rollback to Revision 1
Apr 17, 2020 at 12:09 history edited wychmaster CC BY-SA 4.0
correct a typical mistake of mine -.-
Apr 17, 2020 at 10:44 history answered wychmaster CC BY-SA 4.0