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Original Articles

Gaussian process method for form error assessment using coordinate measurements

, &
Pages 931-946 | Received 01 Apr 2007, Accepted 01 Dec 2007, Published online: 14 Aug 2008

References

  • Banerjee , S. , Carlin , B. and Gelfand , A. 2004 . Hierarchical Modeling and Analysis for Spatial Data , Boca Raton , FL : Chapman & Hall/CRC .
  • Bernardo , M. , Buck , R. , Liu , L. , Nazaret , W. , Sacks , J. and Welch , W. 1992 . Integrated circuit design optimization using a sequential strategy . IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems , 11 : 361 – 372 .
  • Chang , S. and Ho , S. 2001 . Multivariate statistical process control for inspection data from coordinate measuring machines . International Journal of Industrial Engineering – Theory, Applications and Practices , 8 : 347 – 358 .
  • Chen , C. and Liu , C. 2000 . A study on analyzing the problem of the spherical form error . Precision Engineering , 24 : 119 – 126 .
  • Cho , N. and Tu , J. 2001 . Roundness modeling of machined parts for tolerance analysis . Precision Engineering , 25 : 35 – 47 .
  • Choi , W. and Kurfess , T. 1999a . Dimensional measurement data analysis, part 1: a zone fitting algorithm . Journal of Manufacturing Science and Engineering Transactions of the ASME , 121 : 238 – 245 .
  • Choi , W. and Kurfess , T. 1999b . Dimensional measurement data analysis, part 2: minimum zone evaluation . Transactions of the ASME Journal of Manufacturing Science and Engineering , 121 : 246 – 250 .
  • Cressie , N. and Lahiri , S. 1996 . Asymptotics for REML estimation of spatial covariance parameters . Journal of Statistical Planning and Inference , 50 : 327 – 341 .
  • Deng , G. , Wang , G. and Duan , J. 2003 . A new algorithm for evaluating form error: the valid characteristic point method with the rapidly contracted constraint zone . Journal of Materials Processing Technology , 139 : 247 – 252 .
  • Desta , M. , Feng , H. and OuYang , D. 2003 . Characterization of general systematic form errors for circular features . International Journal of Machine Tools & Manufacture , 43 : 1069 – 1078 .
  • Dowling , M. , Griffin , P. , Tsui , K. and Zhou , C. 1995 . A comparison of the orthogonal least square and minimum enclosing zone methods for form error estimation . Manufacturing Review , 8 : 120 – 134 .
  • Dowling , M. , Griffin , P. , Tsui , K. and Zhou , C. 1997 . Statistical issues in geometric feature inspection using coordinate measuring machines . Technometrics , 39 : 3 – 17 .
  • Dowling , M. , Griffin , P. and Zhou , C. 1993 . Statistical issues in geometric tolerance verification using coordinate measuring machines , Atlanta , GA : School of Industrial and Systems Engineering, Georgia Institute of Technology . Research report J-90-2
  • Fan , K. and Lee , J. 1999 . Analysis of minimum zone sphericity error using minimum potential energy theory . Precision Engineering , 23 : 65 – 72 .
  • Gaudard , M. , Karson , M. , Linder , E. and Sinhai , D. 1999 . Bayesian spatial prediction . Environmental and Ecological Statistics , 6 : 147 – 171 .
  • Hardle , W. and Simar , L. 2003 . Applied Multivariate Statistical Analysis , New York , NY : Springer .
  • Henke , R. , Summerhays , K. , Baldwin , J. , Cassou , R. and Brown , C. 1999 . Methods for evaluation of systematic geometric deviations in machined parts and their relationships to process variables . Precision Engineering , 23 : 273 – 292 .
  • Huang , J. 1999a . An exact minimum zone solution for sphericity evaluation . Compute Aided Design , 31 : 845 – 853 .
  • Huang , J. 1999b . An exact solution for the roundness evaluation problems . Precision Engineering , 23 : 2 – 8 .
  • Hulting , F. 1995 . Comment: an industrial view of coordinate measurement data analysis . Statistica Sinica , 5 : 191 – 204 .
  • Hulting , F. 1997 . Discussion: statistical issues in geometric feature inspection using coordinate measuring machines . Technometrics , 39 : 18 – 20 .
  • Kurfess , T. , Banks , D. and Wolfson , J. 1996 . A multivariate statistical approach to metrology . Transactions of the ASME Journal of Manufacturing Science and Engineering , 118 : 652 – 657 .
  • Namboothiri , V. and Shunmugam , M. 1998 . Form error evaluation using L1-approximation . Computer Methods in Applied Mechanics and Engineering , 162 : 133 – 149 .
  • Samuel , G. and Shunmugam , M. 1999 . Evaluation of straightness and flatness using computational geometric techniques . Computer Aided Design , 31 : 829 – 843 .
  • Samuel , G. and Shunmugam , M. 2000 . Evaluation of circularity from coordinate and form data using computational geometric techniques . Precision Engineering , 24 : 251 – 263 .
  • Santner , T. , Williams , B. and Notz , W. 2003 . The Design and Analysis of Computer Experiments , New York , NY : Springer .
  • Shunmugam , M. 1987 . New approach for evaluating form errors of engineering surfaces . Computer Aided Design , 19 : 368 – 374 .
  • Shunmugam , M. 1991 . Criteria for computer-aided form evaluation . Transactions of the ASME, Journal of Engineering for Industry , 113 : 233 – 238 .
  • Stout , K. , Davis , E. and Sullivan , P. 1990 . Atlas of Machined Surfaces , London , UK : Chapman & Hall .
  • Suen , D. and Chang , C. 1997 . Application of neural network interval regression method for minimum zone straightness and flatness . Precision Engineering , 20 : 196 – 207 .
  • Traband , M. , Medeiros , D. and Chandra , M. 2004 . A statistical approach to tolerance evaluation for circles and cynlinders . IIE Transactions , 36 : 777 – 785 .
  • Weber , T. , Motavalli , S. , Fallahi , B. and Cheraghi , S. 2002 . A unified approach to form error evaluation . Journal of the International Societies for Precision Engineering and Nanotechnology , 26 : 269 – 278 .
  • Weckenmann , A. , Heinrichowski , M. and Mordhorst , H. 1991 . Design of gauges and multipoint measuring systems using coordinate-measuring-machine data and computer simulation . Precision Engineering , 13 : 203 – 207 .
  • Wolfinger , R. , Tobias , R. and Sall , J. 1994 . Computing Gaussian likelihoods and their derivatives for general linear mixed models . SIAM Journal of Scientific Computing , 15 : 1294 – 1310 .
  • Woo , T. and Hsieh , C. 1997 . Discussion: statistical issues in geometric feature inspection using coordinate measuring machines . Technometrics , 39 : 20 – 22 .
  • Yang , T. and Jackman , J. 2000 . Form error estimation using spatial statistics . Transactions of the ASME, Journal of Manufacturing Science and Engineering , 122 : 262 – 272 .
  • Yang , B. and Menq , C. 1993 . Compensation for form error of end-milled sculptured surfaces using discrete measurement data . International Journal of Machine Tools & Manufacture , 33 : 725 – 740 .
  • Yeh , K.-M. , Ni , J. and Hu , S. 1994 . Adaptive sampling and identification of feature deformation for tolerance evaluation using coordinate measuring machines , Ann Arbor , MI : Dept. of Mechanical Engineering and Applied Mechanics, University of Michigan . Technical Report, S. M. Wu, Manufacturing Research Laboratory
  • Zhu , X. , Ding , H. and Wang , M. 2004 . Form error evaluation: an iterative reweighted least squares algorithm . Transactions of the ASME, Journal of Manufacturing Science and Engineering , 126 : 535 – 541 .
  • Zimmerman , D. and Harville , D. 1991 . A random field approach to the analysis of field-plot experiments and other spatial experiments . Biometrics , 47 : 223 – 229 .

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