A statistics-guided approach to dimensional quality characterization of free-form surfaces with an application to 3D printing

References

• Ameta, G., R. Lipman, S. Moylan, and P. Witherell. 2015. Investigating the role of geometric dimensioning and tolerancing in additive manufacturing. Journal of Mechanical Design 137 (11):111401. doi:10.1115/1.4031296.
   Web of Science ®Google Scholar
• Arellano-Valle, R. B., and M. G. Genton. 2008. On the exact distribution of the maximum of absolutely continuous dependent random variables. Statistics & Probability Letters 78 (1):27–35. doi:10.1016/j.spl.2007.04.021.
   Web of Science ®Google Scholar
• Armillotta, A. 2006. Assessment of surface quality on textured fdm prototypes. Rapid Prototyping Journal 12 (1):35–41. doi:10.1108/13552540610637255.
   Web of Science ®Google Scholar
• Babu, M., P. Franciosa, and D. Ceglarek. 2019. Spatio-temporal adaptive sampling for effective coverage measurement planning during quality inspection of free form surfaces using robotic 3d optical scanner. Journal of Manufacturing Systems 53:93–108. doi:10.1016/j.jmsy.2019.08.003.
   Web of Science ®Google Scholar
• Bayarri, M. J., J. O. Berger, R. Paulo, J. Sacks, J. A. Cafeo, J. Cavendish, C.-H. Lin, and J. Tu. 2007. A framework for validation of computer models. Technometrics 49 (2):138–54. doi:10.1198/004017007000000092.
   Web of Science ®Google Scholar
• Besl, P. J., and N. D. McKay. 1992. Method for registration of 3-d shapes. Sensor Fusion IV: Control Paradigms and Data Structures 1611:586–606. In volume International Society for Optics and Photonics.
   Google Scholar
• Cassetta, M., L. V. Stefanelli, M. Giansanti, and S. Calasso. 2012. Accuracy of implant placement with a stereolithographic surgical template. International Journal of Oral & Maxillofacial Implants 27 (3):655–663.
   PubMed Web of Science ®Google Scholar
• Chen, H., D. Wu, H. Yang, and K. Guo. 2015. Clinical use of 3D printing guide plate in posterior lumbar pedicle screw fixation. Medical Science Monitor 21:3948–54. doi:10.12659/MSM.895597.
   PubMed Web of Science ®Google Scholar
• Desta, M. T., H. Feng, and D. Ouyang. 2003. Characterization of general systematic form errors for circular features. International Journal of Machine Tools and Manufacture 43 (11):1069–78. doi:10.1016/S0890-6955(03)00128-7.
   Web of Science ®Google Scholar
• Diblasi, A., and A. Bowman. 2001. On the use of the variogram in checking for independence in spatial data. Biometrics 57 (1):211–8. doi:10.1111/j.0006-341X.2001.00211.x.
   PubMed Web of Science ®Google Scholar
• Efron, B. 2004. Large-scale simultaneous hypothesis testing: The choice of a null hypothesis. Journal of the American Statistical Association 99 (465):96–104. doi:10.1198/016214504000000089.
   Web of Science ®Google Scholar
• Efron, B. 2007. Correlation and large-scale simultaneous significance testing. Journal of the American Statistical Association 102 (477):93–103. doi:10.1198/016214506000001211.
   Web of Science ®Google Scholar
• Efron, B. 2012. Large-scale inference: Empirical Bayes methods for estimation, testing, and prediction, vol. 1. New York, NY: Cambridge University Press.
   Google Scholar
• Fu, S., B. Muralikrishnan, and J. Raja. 2003. Engineering surface analysis with different wavelet bases. Journal of Manufacturing Science and Engineering 125 (4):844–52. doi:10.1115/1.1616947.
   Web of Science ®Google Scholar
• Genz, A. 1992. Numerical computation of multivariate normal probabilities. Journal of Computational and Graphical Statistics 1 (2):141–9. doi:10.2307/1390838.
   Google Scholar
• Gibson, I., D. W. Rosen, B. Stucker, et al. 2010. Additive manufacturing technologies, vol. 238. New York, NY: Springer.
   Google Scholar
• Green, P. J., and B. W. Silverman. 1993. Nonparametric regression and generalized linear models: A roughness penalty approach. Baco Raton, FL: Chapman and Hall/CRC.
   Google Scholar
• Guo, N., and M. C. Leu. 2013. Additive manufacturing: Technology, applications and research needs. Frontiers of Mechanical Engineering 8 (3):215–43. doi:10.1007/s11465-013-0248-8.
   Google Scholar
• He, J., D. Li, B. Lu, Z. Wang, and T. Zhang. 2006. Custom fabrication of a composite hemi-knee joint based on rapid prototyping. Rapid Prototyping Journal 12 (4):198–205. doi:10.1108/13552540610682705.
   Web of Science ®Google Scholar
• Huang, Q. 2016. An analytical foundation for optimal compensation of three-dimensional shape deformation in additive manufacturing. Journal of Manufacturing Science and Engineering 138 (6):061010. doi:10.1115/1.4032220.
   Web of Science ®Google Scholar
• Jo, M. Y., Y. J. Ryu, J. H. Ko, and J.-S. Yoon. 2012. Effects of compatibilizers on the mechanical properties of abs/pla composites. Journal of Applied Polymer Science 125 (S2):E231–E238. doi:10.1002/app.36732.
   Web of Science ®Google Scholar
• Krulikowski, A. 1998. Fundamentals of geometric dimensioning and tolerancing. Independence, KY: Cengage Learning.
   Google Scholar
• Lasemi, A., D. Xue, and P. Gu. 2010. Recent development in cnc machining of freeform surfaces: A state-of-the-art review. Computer-Aided Design 42 (7):641–54. doi:10.1016/j.cad.2010.04.002.
   Web of Science ®Google Scholar
• Li, Y., and P. Gu. 2004. Free-form surface inspection techniques state of the art review. Computer-Aided Design 36 (13):1395–417. doi:10.1016/j.cad.2004.02.009.
   Web of Science ®Google Scholar
• Luan, H., and Q. Huang. 2015. Predictive modeling of in-plane geometric deviation for 3d printed freeform products. In IEEE Automation Science and Engineering (CASE), 2015 IEEE International Conference on, 912–7.
   Google Scholar
• Lukas, M. A. 2006. Robust generalized cross-validation for choosing the regularization parameter. Inverse Problems 22 (5):1883–902. doi:10.1088/0266-5611/22/5/021.
   Web of Science ®Google Scholar
• Maglione, D., and A. Diblasi. 2004. Exploring a valid model for the variogram of an isotropic spatial process. Stochastic Environmental Research and Risk Assessment 18 (6):366–76. doi:10.1007/s00477-003-0143-7.
   Web of Science ®Google Scholar
• Mahmood, S., A. J. Qureshi, and D. Talamona. 2018. Taguchi based process optimization for dimension and tolerance control for fused deposition modelling. Additive Manufacturing 21:183–90. doi:10.1016/j.addma.2018.03.009.
   Web of Science ®Google Scholar
• Mazzoni, S., C. Marchetti, R. Sgarzani, R. Cipriani, R. Scotti, and L. Ciocca. 2013. Prosthetically guided maxillofacial surgery: Evaluation of the accuracy of a surgical guide and custom-made bone plate in oncology patients after mandibular reconstruction. Plastic and Reconstructive Surgery 131 (6):1376–85. doi:10.1097/PRS.0b013e31828bd6b0.
   PubMed Web of Science ®Google Scholar
• Mehra, P., J. Miner, R. D’Innocenzo, and M. Nadershah. 2011. Use of 3-d stereolithographic models in oral and maxillofacial surgery. Journal of Maxillofacial and Oral Surgery 10 (1):6–13. doi:10.1007/s12663-011-0183-3.
   PubMedGoogle Scholar
• Mohammed, M., A. Fitzpatrick, S. Malyala, and I. Gibson. 2016. Customised design and development of patient specific 3d printed whole mandible implant. In Proceedings of the 27th Annual International Solid Freeform Fabrication Symposium, 1708–17.
   Google Scholar
• Paulo, R. 2005. Default priors for Gaussian processes. The Annals of Statistics 33 (2):556–82. doi:10.1214/009053604000001264.
   Web of Science ®Google Scholar
• Pechenin, V. A., M. A. Bolotov, and N. V. Rusanov. 2014. Method of evaluation of profile form and shaped surfaces with application of wavelets. Research Journal of Applied Sciences 9 (11):820–4.
   Google Scholar
• Poniatowska, M. 2009. Research on spatial interrelations of geometric deviations determined in coordinate measurements of free-form surfaces. Metrology and Measurement Systems 16 (3):501–10.
   Web of Science ®Google Scholar
• Rengier, F., A. Mehndiratta, H. Von Tengg-Kobligk, C. M. Zechmann, R. Unterhinninghofen, H.-U. Kauczor, and F. L. Giesel. 2010. 3D printing based on imaging data: Review of medical applications. International Journal of Computer Assisted Radiology and Surgery 5 (4):335–41. doi:10.1007/s11548-010-0476-x.
   PubMed Web of Science ®Google Scholar
• Sabbaghi, A., T. Dasgupta, Q. Huang, and J. Zhang. 2014. Inference for deformation and interference in 3d printing. The Annals of Applied Statistics 8 (3):1395–415. doi:10.1214/14-AOAS762.
   Web of Science ®Google Scholar
• Tepper, M., and G. Sapiro. 2012. L1 splines for robust, simple, and fast smoothing of grid data. arXiv preprint arXiv:1208.2292.
   Google Scholar
• Tibshirani, R. J., and J. Taylor. 2011. The solution path of the generalized lasso. The Annals of Statistics 39 (3):1335–71. doi:10.1214/11-AOS878.
   Web of Science ®Google Scholar
• Trench, W. F. 2001. Properties of some generalizations of kac-murdock-szego matrices. Contemporary Mathematics 281:233–46.
   Google Scholar
• Turner, B. N., and S. A. Gold. 2015. A review of melt extrusion additive manufacturing processes: Ii. materials, dimensional accuracy, and surface roughness. Rapid Prototyping Journal 21 (3):250–61. doi:10.1108/RPJ-02-2013-0017.
   Web of Science ®Google Scholar
• van Baar, G. J., T. Forouzanfar, N. P. Liberton, H. A. Winters, and F. K. Leusink. 2018. Accuracy of computer-assisted surgery in mandibular reconstruction: A systematic review. Oral Oncology 84:52–60. doi:10.1016/j.oraloncology.2018.07.004.
   PubMed Web of Science ®Google Scholar
• Walker, E., and S. P. Wright. 2002. Comparing curves using additive models. Journal of Quality Technology 34 (1):118–29. doi:10.1080/00224065.2002.11980134.
   Web of Science ®Google Scholar
• Xia, H., Y. Ding, and J. Wang. 2008. Gaussian process method for form error assessment using coordinate measurements. Iie Transactions 40 (10):931–46. doi:10.1080/07408170801971502.
   Web of Science ®Google Scholar
• Xiao, J., N. Anwer, A. Durupt, J. L. Duigou, and B. Eynard. 2018. Correction to: Information exchange standards for design, tolerancing and additive manufacturing: A research review. International Journal on Interactive Design and Manufacturing (IJIDEM) 12 (2):767–8. doi:10.1007/s12008-017-0439-3.
   Google Scholar
• Yang, K., and P. Qiu. 2018. Spatiotemporal incidence rate data analysis by nonparametric regression. Statistics in Medicine 37 (13):2094–107. doi:10.1002/sim.7622.
   PubMed Web of Science ®Google Scholar
• Yang, K., and P. Qiu. 2019. Nonparametric estimation of the spatio-temporal covariance structure. Statistics in Medicine 38 (23):4555–65. doi:10.1002/sim.8315.
   PubMed Web of Science ®Google Scholar
• Zang, Y., and P. Qiu. 2018a. Phase i monitoring of spatial surface data from 3D printing. Technometrics 60 (2):169–80. doi:10.1080/00401706.2017.1321585.
   Web of Science ®Google Scholar
• Zang, Y., and P. Qiu. 2018b. Phase ii monitoring of free-form surfaces: An application to 3D printing. Journal of Quality Technology 50 (4):379–90. doi:10.1080/00224065.2018.1508274.
   Web of Science ®Google Scholar
• Zhang, Z. 1994. Iterative point matching for registration of free-form curves and surfaces. International Journal of Computer Vision 13 (2):119–52. doi:10.1007/BF01427149.
   Web of Science ®Google Scholar