Two-point methods for evaluation of the minimum zone circle.

Abstract

According to the cross-distribution of four control points of the minimum zone circle, the four-point conditions that two control points on the circumscribed circle and two control points on the inscribed circle meet are proposed. Based on these conditions, a two-point method is proposed, which is suitable not only for the determination of two control points on the circumscribed circle but also for the determination of two control points on the inscribed circle. In the iterative process, redundant data points can be simply determined by using dichotomy in order to improve computational efficiency. Several examples have been carried out to validate the validity of the algorithm proposed.