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Method for Selecting Control Points on Spheres When Measuring on Coordinate Measuring Machines

Spheres are widely used in various fields of technology. The task of measuring spheres is actual in surface metrology. A generally accepted technique for calculating sphericity is currently lacking. Three methods for determining sphericity are considered in the paper: spheres by the method of least squares, spheres of minimal volume, minimax sphere. The first two methods are known, and the latter method is proposed by the authors. Experiments were carried out for three schemes of location of control points on the sphere. As a result, recommendations are given on the application of methods for measuring sphericity in practice.