JOURNAL ARTICLE

Two-point methods for evaluation of the minimum zone circle.

  • Published In: Review of Scientific Instruments, 2024, v. 95, n. 12. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Li, Xiuming; Hao, Xuedi; Wang, Guangjie; Tang, Yuanzhuo; Li, Xudong 3 of 3

Abstract

The article focuses on a novel two-point method for evaluating the minimum zone circle (MZC), which is used to assess roundness error by identifying four control points—two on the circumscribed circle (CC) and two on the inscribed circle (IC). The proposed algorithm applies specific geometric conditions and uses dichotomy to efficiently eliminate redundant data points during iteration, thereby improving computational efficiency. Validation through multiple examples, including experimental data from a coordinate measuring machine, demonstrates that the method accurately determines the MZC and effectively selects control points on both the CC and IC. This approach offers a precise and efficient alternative to existing optimization and computational geometry algorithms for roundness evaluation.

Additional Information

  • Source:Review of Scientific Instruments. 2024/12, Vol. 95, Issue 12, p1
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2024
  • ISSN:0034-6748
  • DOI:10.1063/5.0234792
  • Accession Number:181982567
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