Simple and efficient algorithm for the roundness error from polar coordinate measurement data

Xiuming Li; Hanbing Zhu; Zhen Guo; Yuwei Liu

doi:10.1063/1.5141146

Simple and efficient algorithm for the roundness error from polar coordinate measurement data

Rev Sci Instrum. 2020 Feb 1;91(2):025105. doi: 10.1063/1.5141146.

Authors

Xiuming Li¹, Hanbing Zhu¹, Zhen Guo¹, Yuwei Liu¹

Affiliation

¹ School of Mechanical Electronic and Information Engineering, China University of Mining and Technology (Beijing), Beijing 100083, China.

PMID: 32113403
DOI: 10.1063/1.5141146

Abstract

Evaluation conditions of the minimum circumscribed circle and maximum inscribed circle in Cartesian coordinates are transformed into those in polar coordinates. According to the radius of the measured points, the candidate points for evaluating the minimum circumscribed circle and maximum inscribed circle are divided into three cases which are solved with the corresponding algorithms. Several examples have been used to validate the validity of the proposed algorithm.