Development and application of convex hull in the assessment of roundness error

The roundness error for minimum circumscribed circle (MCC) and maximum inscribed circle (MIC) from coordinate data is obtained according to the distance between the two parallel lines. The lines for MCC and MIC can be found based on convex hull and polar coordinates and be determined by four critical measured points that lead to an efficient way to solve the roundness error. In this paper, an approach for constructing a convex hull is presented using vector product. The method developed is implemented and validated with the data available in the literature.