最小領域法の幾何学的条件と計算法の考察 : 真円度の幾何学的条件

抄録

Many techniques were proposed by means of optimization methods to verify the minimum zone accuracy. It is not always easy to obtain a true solution, even with long calculation time. In order to solve the problem, the geometrical condition of roundness is clarified. The geometrical condition is shown as follows: as shown in Fig. 1, if there are two points A, B on thhe inscribed circle determined by the minimum zone method, and another two points C, D on the circumscribed circle, segments AB and CD intersect each other. This paper proved this geometrical condition determined by the minimum zone roundness.