Optimization of the Number of Control Points in Coordinate Measurements of the Form, Orientation, and Relative Position of the Geometric Elements of Articles

Abstract

Variational problems that arise in the course of minimization of the number of control points in coordinate measurements of the characteristics of form, orientation, and relative position of the geometric elements of articles is solved on the basis of analytic models of estimates of the errors under the condition of an upper bound on the value of the measurement error. The proposed methods of solution are illustrated by examples of planning of coordinate measurements of flatness, parallelism, and perpendicularity of planes, the distance between planes, the circularity parameters, and the coaxiality of cylinders.