Phase I Monitoring of Spatial Surface Data from 3D Printing

ABSTRACT In recent years, 3D printing gets more and more popular in manufacturing industries. Quality control of 3D printing products thus becomes an important research problem. However, this problem is challenging due to the facts that (i) the surface of a product from 3D printing can have arbitrary shape, even when the 3D printing process is in-control, (ii) surface observations of the product obtained from a laser scanner may not have regularly spaced locations, and (iii) the overall geometric positions of 3D printing products might be all different, making proper comparison among different products difficult. In this article, we propose a Phase I control chart for monitoring products from 3D printing that addresses all these challenges. Numerical studies show that it works well in practice.

[1]  Johan A. K. Suykens,et al.  Kernel Regression in the Presence of Correlated Errors , 2011, J. Mach. Learn. Res..

[2]  Jionghua Jin,et al.  Feature-preserving data compression of stamping tonnage information using wavelets , 1999 .

[3]  Peihua Qiu,et al.  Jump Detection In Blurred Regression Surfaces , 2014, Technometrics.

[4]  A. Khotanzad,et al.  A physics-based coordinate transformation for 3-D image matching , 1997, IEEE Transactions on Medical Imaging.

[5]  Alain Trouvé,et al.  Computing Large Deformation Metric Mappings via Geodesic Flows of Diffeomorphisms , 2005, International Journal of Computer Vision.

[6]  Fugee Tsung,et al.  Monitoring Profiles Based on Nonparametric Regression Methods , 2008, Technometrics.

[7]  D. Rueckert,et al.  Comparison and evaluation of rigid, affine, and nonrigid registration of breast MR images. , 1999, Journal of computer assisted tomography.

[8]  Wei Pan,et al.  An Adaptable-Multilayer Fractional Fourier Transform Approach for Image Registration , 2009, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[9]  Mahmoud A. Mahmoud,et al.  On the Monitoring of Linear Profiles , 2003 .

[10]  Douglas M. Hawkins,et al.  The Changepoint Model for Statistical Process Control , 2003 .

[11]  Peihua Qiu,et al.  Intensity-Based Image Registration by Nonparametric Local Smoothing , 2011, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[12]  Enrique del Castillo,et al.  Geodesic Gaussian Processes for the Reconstruction of a Free-Form Surface , 2013 .

[13]  Robert A. Lordo.  Image Processing and Jump Regression Analysis , 2006, Technometrics.

[14]  Massimo Pacella,et al.  From Profile to Surface Monitoring: SPC for Cylindrical Surfaces Via Gaussian Processes , 2014 .

[15]  Peihua Qiu,et al.  On Image Registration in Magnetic Resonance Imaging , 2008, 2008 International Conference on BioMedical Engineering and Informatics.

[16]  Peihua Qiu,et al.  On Nonparametric Image Registration , 2013, Technometrics.

[17]  E. S. Page.  CONTINUOUS INSPECTION SCHEMES , 1954 .

[18]  William H. Woodall,et al.  Cluster-Based Profile Analysis in Phase I , 2015 .

[19]  Peihua Qiu.  Introduction to Statistical Process Control , 2013 .

[20]  Jeffrey A. Fessler,et al.  Accelerated Nonrigid Intensity-Based Image Registration Using Importance Sampling , 2009, IEEE Transactions on Medical Imaging.

[21]  S. W. Roberts,et al.  Control Chart Tests Based on Geometric Moving Averages , 2000, Technometrics.

[22]  Snigdhansu Chatterjee,et al.  Distribution-free cumulative sum control charts using bootstrap-based control limits , 2009, 0906.1421.

[23]  Jiaolong Yang,et al.  Go-ICP: Solving 3D Registration Efficiently and Globally Optimally , 2013, 2013 IEEE International Conference on Computer Vision.

[24]  Daniel W. Apley,et al.  Discovering the Nature of Variation in Nonlinear Profile Data , 2016, Technometrics.

[25]  Partha Sarathi Mukherjee,et al.  3-D Image Denoising by Local Smoothing and Nonparametric Regression , 2011, Technometrics.

[26]  Lan Kang,et al.  On-Line Monitoring When the Process Yields a Linear Profile , 2000 .

[27]  Lisa M. Brown,et al.  A survey of image registration techniques , 1992, CSUR.

[28]  Peihua Qiu.  Image Processing and Jump Regression Analysis: Qiu/Image , 2005 .

[29]  Fugee Tsung,et al.  Statistical Surface Monitoring by Spatial-Structure Modeling , 2014 .

[30]  A. R. Crathorne,et al.  Economic Control of Quality of Manufactured Product. , 1933 .

[31]  Jyhwen Wang,et al.  Gaussian process method for form error assessment using coordinate measurements , 2008 .

[32]  R. J. Althof,et al.  A rapid and automatic image registration algorithm with subpixel accuracy , 1997, IEEE Transactions on Medical Imaging.

[33]  Arthur B. Yeh,et al.  Profile monitoring for a binary response , 2009 .

[34]  Enrique del Castillo,et al.  Geodesic Gaussian Processes for the Parametric Reconstruction of a Free-Form Surface , 2015, Technometrics.

[35]  Peihua Qiu,et al.  Nonparametric Profile Monitoring by Mixed Effects Modeling , 2010, Technometrics.

[36]  Jan Flusser,et al.  Image registration methods: a survey , 2003, Image Vis. Comput..

[37]  Brian B. Avants,et al.  Directly Manipulated Free-Form Deformation Image Registration , 2009, IEEE Transactions on Image Processing.

[38]  Changliang Zou,et al.  Nonparametric Profile Monitoring , 2011 .

[39]  Bo Li,et al.  Nonparametric Estimation of Spatial and Space-Time Covariance Function , 2013 .

[40]  Paul J. Besl,et al.  A Method for Registration of 3-D Shapes , 1992, IEEE Trans. Pattern Anal. Mach. Intell..

[41]  V. B. Musande,et al.  Survey of Image Registration Techniques , 2017 .