Evaluation of the minimum circumscribed circle based on the chord and its two corresponding minimum angles

•Propose the Chord-angle condition for the MCC.•The operators based on Chord-angle condition.•Selection of the redundant data points and the candidate points.•Algorithms for CMM data. The Chord-angle evaluation conditions based on the chord and its two corresponding minimum angles is proposed to sol...

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Bibliographic Details
Published inMeasurement : journal of the International Measurement Confederation Vol. 201; p. 111754
Main Authors Li, Xiuming, Li, YuJie, Chen, Runqi, Chi, Jinling, Shi, Xianjin, Lin, Hu
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 30.09.2022
Subjects
Chord-angle
Minimum angle
Minimum circumscribed circle
Three-point model
Two-point model
Minimum circumscribed circle
Three-point model
Minimum angle
Two-point model
Chord-angle
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ISSN0263-2241
1873-412X
DOI10.1016/j.measurement.2022.111754

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Summary:•Propose the Chord-angle condition for the MCC.•The operators based on Chord-angle condition.•Selection of the redundant data points and the candidate points.•Algorithms for CMM data. The Chord-angle evaluation conditions based on the chord and its two corresponding minimum angles is proposed to solve the minimum circumscribed circle. These conditions are transformed into the corresponding operators to improve the computational efficiency, especially when the number of data point is large. Four cases of selecting the candidate points and determining the redundant points are introduced. The examples based on different data points show that the proposed algorithm can determine the minimum circumscribed circle accurately and effectively.
ISSN:0263-2241
1873-412X
DOI:10.1016/j.measurement.2022.111754