On implementing Kasa's circle fit procedure

This paper addresses the numerical issues of implementing Kasa's circle fit procedure. We consider three main problems: (1) appropriateness of circle-fitting algorithm results to the measured data; (2) ambiguous circles due to the crowding of data; (3) data distribution along fitted circle for sensitivity improvement or measurement requirements. We seek to make noteworthy those elements of the circle fitting technique which contribute most to the accuracy (or inaccuracy) of the intended application. To that end, error bounds are derived and checks proposed to assess the applicability of the technique to the fitted data. Simulation results are submitted in support of the proposed methods.