Uncertainty analysis for angle calibrations using circle closure

Journal of Research of the National Institute of Standards and Technology

Volumn 103, Issue 2, 1998, Pages 141-151

  Estler, W Tyler ^a  

^a NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

Author keywords

Angle metrology; Autocollimators, calibration; Closure; Dimensional metrology; Indexing tables; Measurement uncertainty; Optical polygons; Self calibration

Indexed keywords

EID: 0141842488     PISSN: 1044677X     EISSN: None     Source Type: Journal    
DOI: 10.6028/jres.103.008     Document Type: Article

References (12)

1. C. J. Evans, R. J. Hocken, and W. T. Estler, Self-Calibration: Reversal, Redundancy, Error Separation, and Absolute Testing, Ann. CIRP 45, 617-34 (1996).
2. W. R. Moore, Foundations of Mechanical Accuracy, The Moore Special Tool Co., Bridgeport, CT, USA, 201-50 (1970).
3. T. Matsuda and M. Kajitani, An automatic calibration system for angular encoders, Prec. Eng. 11, 95-100, (1989).
4. E. W. Palmer, Goniometer with continuously rotating gratings for use as an angle standard, Prec. Eng. 10, 147-152 (1988).
5. F. S Jing, Y. C. Lin, Y. F. Zhou, and G. X. Zhang, Angular measurement by means of rotation of linear gratings, Ann. CIRP 41, 585-587 (1992).
6. K. Toyoda, Measurements of Polygon Mirrors at NRLM on International Comparison of Angle Standards, Bull. Nat. Res. Lab. Met. 37, 24-34 (1988).
7. C. P. Reeve, The calibration of indexing tables by subdivision, NBS Internal Report 75-750 (1975).
8. K. J. Hume, Metrology with Autocollimators, Hilger & Watts, Ltd., London (1965).
9. W. T. Estler and Y. H. Queen, An Advanced Angle Metrology System, Ann. CIRP. 42, 573-76 (1993).
10. ISO, Guide to the Expression of Uncertainty in Measurement, International Organization for Standardization, Geneva (1995).
11. B. N. Taylor and C. E. Kuyatt, Guidelines for Evaluating and Expressing the Uncertainty of NIST Measurement Results, NIST Tech. Note 1297 (1994).
12. S. J. Leon, Linear Algebra with Applications, 4th Ed., Prentice Hall, Upper Saddle River, NJ (1994).