Geometric tolerance verification using superquadrics

References

• Anon ( 1994 ) American National Standard Engineering Drawings & Related Documentation Practice, Dimensioning & Tolerancing; , ANSI Y 14.5M-1994, ASME, New York .
   Google Scholar
• Barcenas , E. E. ( 1998 ) Geometric tolerance verification using super quadrics. Ph. D. thesis , School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta , Georgia .
   Google Scholar
• Barcenas , E. E. and Griffin , P. M. ( 2000 ) Parametric-based determination of cylindrical variations in geometric tolcrancing. Journal of Manufacturing Science and Engineering , 122 ( 3 ), 549 – 555 .
   Web of Science ®Google Scholar
• Barcenas , E. E. , Griffin , P. M. and Heikes , R. ( 1999 ). Statistical comparison of sampling and fitting procedures for geometric tolerance verification. , Tech Report 829, School of Industrial and Systems Engineering, Georgia Institute of Technology. Atlanta . GA .
   Google Scholar
• Barr , A. ( 1981 ) Superquadrics and angle preserving transformations. IEEE Computer Graphics and Applications , 1 , 11 – 23 .
   Google Scholar
• Caskey , G. , Hari , Y. , Hocken , R. , Palanivelu , D. , Rava , J. , Wilson , J. , Chen , R. , Chen , K. and Yang , J. ( 1990 ) Sampling techniques for coordinate measuring machines. in Proceedings of the Design and Manufacturing Systems Conference , American Society of Precision Engineering, Rochester . NY , pp. 114 – 120 .
   Google Scholar
• Choi , W. , Kurfess , T. R. and Cagan , J. ( 1998 ) Sampling uncertainty in coordinate measurement data analysis. Precision Engineering , 22 ( 3 ), 153 – 163 .
   Web of Science ®Google Scholar
• Dowling , M. M. , Griffin , P. M. , Tsui , K. L. and Zhou , E. ( 1995 ) A comparison of the orthogonal least squares and minimum enclosing zone methods for form error estimation. Manufacturing Review , 8 ( 2 ), 120 – 138 .
   Google Scholar
• Dowling , M. M. , Griffin , P. M. , Tsui , K. L. and Zhou , E. ( 1997 ) Statistical issues in geometric feature inspection using coordinate measuring machines. Technometrics , 39 . 3 – 17 .
   Web of Science ®Google Scholar
• Fox , T. O , Hinkley , D. and Larntz , K. ( 1980 ) Jackknifing in nonlinear regression. Technometrics. , 22 ( 1 ), 29 – 33 .
   Web of Science ®Google Scholar
• Griffin , P. and Messimer , S. ( 1992 ) Object pose determination from range data. Computers and Industrial Engineering , 22 ( 3 ), 245 – 256 .
   Web of Science ®Google Scholar
• Hopp , T. H. ( 1993 ) Computational metrology. Manufacturing Review , 6 ( 4 ), 1 – 11 .
   Google Scholar
• Lin , S. S. , Vaghese , P. and Zhang , E. ( 1997 ) Statistical tolerance analysis based on beta distributions. Journal of Manufacturing Systems , 16 ( 2 ), 150 – 158 .
   Web of Science ®Google Scholar
• Lin , S. S. , Vaghese , P. , Zhang , E. and Wang , H. P. ( 1995 ) A comparative analysis of CMM form-fitting algorithms. Manufacturing Review , 8 ( 1 ), 47 – 58 .
   Google Scholar
• Marquardt , D. W. ( 1963 ) An algorithm for least-squares estimation of nonlinear parameters , SIAM Journal of Applied Mathematics , 11 , 431 – 441 .
   Web of Science ®Google Scholar
• Murthy , T. S. R. and Abdin , S. Z. ( 1980 ) Minimum zone evaluation of surfaces. International Journal of Machine Tool Design Research , 20 , 123 – 136 .
   Web of Science ®Google Scholar
• Paul , R. ( 1981 ) Rohot Manipulators , MIT Press, Boston , MA .
   Google Scholar
• Pentland , A. P. ( 1986 ) Perceptual organization and the representation of natural forms. Artificial Intelligence , 28 ( 2 ), 293 – 331 .
   Web of Science ®Google Scholar
• Seber , G. A. F. and Wild , E. J. ( 1989 ) Nonlinear Regression , John Wiley. New York .
   Google Scholar
• Shunian , Y. , Zhu , L. and Guangying , L. ( 1988 ) Statistical inference of form error distribution function. Precision Engineering , 10 ( 2 ), 97 – 99 .
   Google Scholar
• Solina , F. and Bajcsy , R. ( 1990 ) Recovery of parametric models from range images: the case for superquadrics with global deformations. IEEE Transactions on Pattern Analysis and tvachille Intelligence , 12 ( 2 ). 133 – 147 .
   Web of Science ®Google Scholar
• Traband , M. T. , Joshi , S. , Wysk , R. and Cavalier , T. ( 1989 ) Evaluation of straightness and flatness tolerances using the minimum zone. Manufacturing Review , 2 ( 3 ), 189 – 195 .
   Google Scholar