Contribution to the minimax evaluation of circularity error

References

• ANTHONY , G. T. , ANTHONY , H. M. , BITTNER , B. , BUTLER , B. P. , COX , M. G. , DRIESCHNER , R. , ELLIGSEN , R. , FORBES , A. B. , GROSS , H. , HANNABY , S. A. , HARRIS , P. M. and KOK , J. 1996 . Reference software for finding Chebyshev best-fit geometric elements . Precision Engineering , 19 : 28 – 36 .
   Web of Science ®Google Scholar
• ASME . 1995 . Dimensioning and Tolerancing. Y14.5M-1994 , New York : American Society of Mechanical Engineers .
   Google Scholar
• BOURDET , P. and CLEMENT , A. 1988 . A study of optimal criteria identification based on the small displacement screw model . Annals of the CIRP , 37 : 503 – 506 .
   Google Scholar
• CASKEY , G. T. , HARI , Y. , HOCKEN , R. , PALANVELU , D. , RAJA , J. and WILSON , R. Sampling techniques for coordinate measuring machines . Proceedings of the 1991 NSF Design and manufacturing Systems Conference . Austin , TX . pp. 779 – 786 .
   Google Scholar
• ETESAMI , F. and QIAO , H. 1990 . Analysis of two-dimensional measurement data for automated inspection . Journal of Manufacturing Systems , 9 : 21 – 34 .
   Web of Science ®Google Scholar
• FENG , S. C. and HOPP , T. H. 1991 . A Review of Current Geometric Tolerancing Theories and Inspection Data Analysis Algorithms , Technical Report NISTIR 4509 Gaithesburg , VA : National Institute of Standards and Technology .
   Google Scholar
• HUANG , J. 1994 . “ Evaluation of form and profile error in the measurement of discrete parts ” . Pennsylvania State University . PhD thesis,
   Google Scholar
• ISO . 1983 . Technical Drawings: Geometric Tolerances of Form, Location and Run-out. R1001 , Geneva : International Organization for Standardization .
   Google Scholar
• ISO . 1985 . Methods for the Assessment of Departure from Roundness: Measurement of Variation in Radius. 4291 , Geneva : International Organization for Standardization .
   Google Scholar
• MURTHY , T. S. R. 1986 . A comparison of different algorithms for circularity evaluation . Precision Engineering , 8 : 19 – 23 .
   Web of Science ®Google Scholar
• MURTHY , T. S. R. and ABDIN , S. Z. 1980 . Minimum zone evaluation of surface . International Journal of Machine Tool Design and Research , 20 : 123 – 126 .
   Web of Science ®Google Scholar
• PREOARATA , F. P. and SHAMOS , M. I. 1985 . Computational Geometry , New York : Springer .
   Google Scholar
• ROY , U. and ZHANG , X. 1992 . Establishment of a pair of concentric circles with the minimum radial separation for assessing roundness errors . Computer-Aided Design , 24 : 161 – 168 .
   Web of Science ®Google Scholar
• SAMUEL , G. L. and SHUNGUFAN , M. S. 2000 . Evaluation of circularity from coordinate and form data using computational geometric techniques . Precision Engineering , 24 : 251 – 263 .
   Web of Science ®Google Scholar
• TSUKADA , T. , KANADA , T. and OKUDA , K. 1984 . An evaluation of roundness from minimum zone center by means of an optimization technique . Bulletin of the JSPE , 18 : 77 – 81 .
   Google Scholar
• VENTURA , J. A. and YERALAN , S. 1989 . The minimax center estimation problem for automated roundness inspection . European Journal of Operations Research , 41 : 64 – 72 .
   Web of Science ®Google Scholar
• YERALAN , S. and VENTURA , J. A. 1988 . Computerized roundness inspection . International Journal of Production Research , 26 : 1921 – 1935 .
   Web of Science ®Google Scholar