Min-max problem for evaluating the form error of a circle
Journal
Measurement: Journal of the International Measurement Confederation
Journal Volume
26
Journal Issue
4
Pages
273-282
Date Issued
1999
Author(s)
Abstract
There have been many studies to evaluate the form error of a circle. Most of them, such as the optimum methods and limacon model, employed the approximate solution to obtain the desired results. In this paper, three mathematical models depending on the method used to select the exact control points are constructed to evaluate the analytic solution of the minimum circumscribed circle, the maximum inscribed circle and the minimum zone circle by directly resolving the simultaneous linear algebraic equations. These new and simple mathematical methods are verified to be useful for determining the exact solution.
Subjects
Error analysis
Linear equations
Mathematical models
Problem solving
Minimum-maximum problems
Computational geometry
Type
journal article