Curve and surface modeling with uncertainties using dual kriging

Journal of Mechanical Design, Transactions of the ASME

Volumn 121, Issue 2, 1999, Pages 249-255

  Limaiem, A ^a   ElMaraghy, H A ^a  

^a UNIVERSITY OF WINDSOR   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; COMPUTER SIMULATION; CURVE FITTING; DATA REDUCTION; ERROR ANALYSIS; INTERPOLATION; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; PROBABILITY; STATISTICAL METHODS; UNCERTAIN SYSTEMS;

CURVE/SURFACE MODELING; DUAL KRIGING INTERPOLATION;

MACHINE DESIGN;

EID: 0032648133     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2829451     Document Type: Article

References (17)

1. Cheng, F., and Barsky, B. A., 1991, “Interproximation: Interpolation and Approximation Using Cubic Spline Curves,” Computer-Aided Design, Vol. 23, No. 10, pp. 700-706.
2. Davis, P. J., 1975, Interpolation and Approximation, Dover Publication Inc., New York.
3. De Boor, C 1978, A Practical Guide to Splines, Springer-Verlag, New York, USA.
4. Dowd, P. A., 1985, “A Review of Geostatistical Techniques for Contouring,” in Ernshaw, R. A. (Ed.) Fundamental Algorithms for Computer Graphics, Springer-Verlag, Germany, pp. 483-529.
5. Feng, L., and Gossard, D. C., 1995, “Multidimensional Curve Fitting to Unorganized Data Points by Non Nonlinear Minimization,” Computer Aided Design, Vol. 27, No. 1, pp. 48-58.
6. Goshtasby, A., and O’Neill, W. M., 1993, “Surface Fitting to Scattered Data by a Sum of Gaussians,” Computer Aided Geometric Design, Vol. 10, pp. 143-156.
7. Lee, E. T. Y., 1989, “Choosing Nodes in Parametric Curve Interpolation,” Computer Aided Design, Vol. 21, No. 6, pp. 363-370.
8. Limaiem, A., and ElMaraghy, H. A., 1995, “Analytical Solid Modeling Using Dual Kriging,” Proc. 21st ASME Design Automation Conference, Boston, MA, pp. 123-128.
9. Menq, C. H., Yau, H. T., and Wong, C. L., 1992, “An Intelligent Planning Environment for Automated Dimensional Inspection Using Coordinate Measuring Machines,” Journal of Engineering for Industry, Vol. 114, pp. 222-229.
10. Mortenson, M., 1985, Geometric Modeling, John Wiley & Sons, New York.
11. Nassef, A., Limaiem, A., and ElMaraghy, H. A., 1997, “On the Accurate Evaluation of Geometric Deviations from CMM Data,” 5th CIRP Seminar on Computer-Aided Tolerancing, April 27-30, Toronto, Ontario, Canada.
12. Phillips, S. D., Borchardt, B., and Gadrey, G., 1993, “Measurement Uncertainty Consideration for Coordinate Measuring Machines,” NISTIR 5170, US Department of Commerce, Technology Administration, National Institute of Standards and Technology.
13. Piegl, L., 1991, “On NURBS; Survey,” IEEE Computer Graphics & Applications, pp. 51-71.
14. Poirier, C., and Tinawi, R., 1991, “Finite Element Stress Tensor Field Interpolation and Manipulation Using 3D Dual Kriging,” Computer & Structure, Vol. 4, No. 2, pp. 211-225.
15. Rogers, F. F., and Fog, N. G., 1989, “Constrained B-spline Curve and Surface Fitting,” Computer-Aided Design, Vol. 21, No. 10, pp. 641-648.
16. Stytz, M. R., and Parrott, R. W., 1993, “Using Kriging for 3D Medical Imaging,” Computerized Medical Imaging and Graphics, Vol. 17, No. 6, pp. 421-442.
17. Trochu, F 1993, “A Contouring Program Based on Dual Kriging Interpolation,” Engineering with Computers, Vol. 9, pp. 160-177.