Circle Fitting Info

Section author: Luke Frisken <l.frisken@gmail.com>

http://stackoverflow.com/questions/15481242/python-optimize-leastsq-fitting-a-circle-to-3d-set-of-points

http://au.mathworks.com/matlabcentral/fileexchange/34792-circlefit3d-fit-circle-to-three-points-in-3d-space

http://mathematica.stackexchange.com/questions/16209/how-to-determine-the-center-and-radius-of-a-circle-given-some-points-in-3d

Least Squares

Linear Least Squares

Circle Equation:

\((y - \beta_2)^2 + (x - \beta_1)^2 = \beta_0^2\)

\(y = \beta_2 \pm \sqrt{\beta_0^2 - (x - \beta_1)^2}\)

We want to constrain the circle to intersect with the lastest recorded point.

if \(y = \beta_2 \pm \sqrt{\beta_0^2 - (x - \beta_1)^2}\)