Geometrical tolerances: Improved linear approximation of least squares evaluation of circularity by minimum variance

International Journal of Machine Tools and Manufacture

Volumn 36, Issue 3, 1996, Pages 355-366

  Kim, Nam Hyun ^a   Kim, Seung Woo ^a  

^a Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL GEOMETRY; COMPUTATIONAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; ERRORS; ITERATIVE METHODS; LEAST SQUARES APPROXIMATIONS;

CIRCLE CENTER COORDINATES; CIRCULARITY; COORDINATE METROLOGY; DEVIATIONAL ERRORS; GEOMETRICAL TOLERANCES; MINIMUM VARIANCE; ORTHOGONAL EUCLIDEAN DISTANCE; TWO DIMENSIONAL CIRCLE;

MACHINE TOOLS;

EID: 0030104949     PISSN: 08906955     EISSN: None     Source Type: Journal    
DOI: 10.1016/0890-6955(95)00056-9     Document Type: Article

References (14)

1. British Standard, Assessment of departure from roundness, BS3730, British Standards Institution, London (1987).
2. ISO, Technical drawings - Geometrical tolerancing - Tolerancing of form, orientation, location and run-out - Generalities, definitions, symbols, indications on drawing, ISO 1101-1983(E), International Standards Organization (1983).
3. M. S. Shunmugam, Establishing reference figures for form evaluation of engineering surfaces, J. Mfg. Syst. 10(4), 314-321 (1991).
4. T. S. R. Murthy and S. Z. Abdin, Minimum zone evaluation of surfaces, Int. J. Mach. Tool Des. Res. 20(2), 123-136 (1980).
5. T. Tsukada, T. Kanada and K. Okuda, An evaluation of roundness from minimum zone center by means of an optimization technique, Bull. Jap. Soc. Prec. Engng 18(4), 317-322 (1984).
6. S. C. Feng and T. H. Hopp, A review of current geometric tolerancing theories and inspection data analysis algorithms, Technical Report NISTIR-4509, National Institute of Technology and Standards, Gaithersburg, MD 20899 (1991).
7. G. T. Anthony and M. G. Cox, Reliable algorithms for roundness assessment according to BS3730, In Software for Co-ordinate Measuring Machines (edited by M. G. Cox and G. N. Peggs), pp. 30-37. National Physical Laboratory, Teddington (1986).
8. D. G. Chetwynd, Applications of linear programming to engineering metrology, Proc. Instn Mech. Engrs 199(B2), 93-100 (1985).
9. T. S. R. Murthy, A comparison of different algorithms for circularity evaluation, Precision Engng 8(1), 19-23 (1986).
10. A. B. Forbes, Robust circle and sphere fitting by least squares, Technical Report DITC 153/89, National Physical Laboratory, Teddington (1989).
11. K. C. Sahoo and C. H. Menq, Localization of 3-D objects having complex sculptured surfaces using tactile sensing and surface description, J. Engng Ind. 113, 85-92 (1991).
12. V. Pratt, Direct least-squares fitting of algebraic surfaces, Computer Graphics 21(4), 145-152 (1987).
13. J. Neter, W. Wasserman and M. H. Kutner, Applied Linear Statistical Models: Regression, Analysis of Variance and Experimental Designs (3rd Edn). Irwin (1990).
14. A. B. Forbes, Least-squares best-fit geometric elements, In Algorithms for Approximation II (edited by J. C. Mason and M. G. Cox), pp. 311-319. Chapman and Hall, London (1990).