TITLE: How to quickly fit a circle by given random arc points?
QUESTION [7 upvotes]: Could you suggest a method to quickly fit the parameters of a circle (center and radius), if I have a small set of random points (for example, 64), covering only a part of the circle (arc)?
[Clarification] The points are noisy, so the exact formulation is how fit the circle parameters to to minimize the sum of squared distances from the points to the circle (L2 metric, L1 is also ok).
I look for a fast algorithm, because I need to do it in real time with rather high FPS.
Additionally, there is information to compute an approximate initial guess of the circle.

REPLY [2 votes]: No need for complicated computer algorithm. A straightaway formula comes from pp. 11-13 in https://fr.scribd.com/doc/14819165/Regressions-coniques-quadriques-circulaire-spherique