EFFECTIVE CIRCLE FITTING FOR PARTICLE TRAJECTORIES

We present a fast method for circular trajectory fitting. Our method is based on an explicit solution of an nonlinear least-squares problem to fit the circle curvature, direction and position parameters. The advantage with respect to previously published methods is that these parameters are Gaussian behaved which implies more reliable error estimation of the fitted parameters. We present formulae for error estimation as well as for propagation of parameters and error matrix to another point of reference.