Evaluating Method of Roundness Error Based on the Maximum Inscribed Circle and Minimum Circumscribed Circle

Abstract

Based on the geometric characteristics of maximum inscribed circle (MIC) and Minimum circumscribed circle (MCC), a novel method for roundness error evaluation using Geometric Approximation Searching Algorithm (GASA) has been presented in this paper. First, a square is allocated by taking the predetermined reference point as initial reference point, and the radius value of all the measured points are calculated by regarding each vertex of the square and the initial reference point as the ideal centres respectively. Second, the minimum and maximum radius are obtained when each vertex of the square and the initial reference point as the ideal centre point. Final, compare these radius and arrange the square repeatedly. Repeat the steps, the roundness error of the maximum inscribed circle can be obtained complies with ANSI and ISO standards. The experimental results show that this algorithm is effective and accurate.