Evaluation of straightness and flatness error using computational geometric techniques

CAD Computer Aided Design

Volumn 31, Issue 13, 1999, Pages 829-843

  Samuel, G L ^a   Shunmugam, M S ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY MADRAS   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ERROR ANALYSIS; FUNCTIONS;

FORM ERRORS; FUNCTION-ORIENTED EVALUATION;

COMPUTATIONAL GEOMETRY;

EID: 0033322455     PISSN: 00104485     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0010-4485(99)00071-8     Document Type: Article

References (23)

1. Dimensioning and tolerancing. 1982;The American Society of Mechanical Engineers, New York.
2. Technical drawings - Geometrical Tolerancing, ISO 1101, 1983-12-01.
3. Shunmugam M.S. On assessment of geometric errors. International Journal of Production Research. 24:(2):1986;413-425.
4. Shunmugam M.S. Criteria for computer aided form evaluation. Journal of Engineering for Industry. 113:1991;233-240.
5. Murthy T.S.R., Abdin S.Z. Minimum zone evaluation of surfaces. International Journal of Machine tool Design and Research. 20:1980;123-136.
6. Chetwynd D.G. Applications of linear programming to engineering metrology. Proceedings of the Institute of Mechanical Engineers (London). 199:(B2):1985;93-100.
7. Fakuda M., Shimokohbe A. Algorithms for form error evaluation - methods of minimum zone and the least squares. Proceedings of the International Symposium on metrology and Quality Control in Production, Tokyo. 1984;197-202.
8. Danish P.B., Shunmugam M.S. An algorithm for form error evaluation using the theory of discrete and linear Chebyshev approximations. Computer Methods in Applied Mechanics and Engineering. 92:1991;309-324.
9. Huang S.T., Fan K.C., Wu J.H. A new minimum zone method for evaluating flatness errors. Precision Engineering. 15:(1):1993;25-32.
10. Huang S.T., Fan K.C., Wu J.H. A new minimum zone method for evaluating straightness errors. Precision Engineering. 15:(3):1993;158-165.
11. Carr K., Ferreira P. Verification of form tolerances, part I: basic issues, flatness and straightness. Precision Engineering. 17:(2):1995;131-143.
12. Kanada T., Suzuki S. Evaluation of minimum zone flatness by means of non-linear optimization techniques and its verification. Precision Engineering. 15:(2):1993;93-99.
13. Hossein S.C., Huay S.L., Saied M. Straightness and flatness tolerance evaluation: an optimization approach. Precision Engineering. 18:(1):1996;30-37.
14. Etesami F., Hong Q. Analysis of two-dimensional measurement data for Automated inspection. Journal of Manufacturing Systems. 9:(1):1990;21-34.
15. Traband M.T., Joshi S., Wysk R.A., Tom M. Evaluation of straightness and flatness tolerances using the minimum zone. Manufacturing Review. 2:(3):1989;189-195.
16. Lee M.K. A new convex hull based approach to evaluating flatness tolerance. Computer Aided Design. 29:(12):1997;861-868.
17. Weill R. Tolerancing for function. Annals of the CIRP. 37:(2):1988;603-610.
18. Weckenmann A., Eitzert H., Garmer M., Weber H. Functionality-oriented evaluation and sampling strategy in coordinate metrology. Precision Engineering. 17:(4):1995;244-252.
19. Namboothiri V.N.N., Shunmugam M.S. Function-oriented form evaluation of engineering surfaces. Precision Engineering. 22:(3):1998;98-109.
20. Preparata F.P., Shamos M.I. Computational geometry: an introduction. 1985;Springer, Berlin.
21. O'Rourke J. Computational geometry in C. 1994;Cambridge University Press, Cambridge.
22. Preparata F.P., Hong S.J. Convex hulls of finite sets of points in two and three dimensions. Communications of the ACM. 20:(2):1977;87-93.
23. Shunmugam M.S. Comparison of linear and normal deviations of form of engineering surfaces. Precision Engineering. 9:(2):1987;96-102.