Monte Carlo simulation and analysis of free-form surface registration

Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture

Volumn 211, Issue 8, 1997, Pages 605-617

  Brujic, D ^a   Ristic, M ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Free form surfaces; Inspection; Monte Carlo simulation; NURBS; Registration

Indexed keywords

COMPUTER AIDED DESIGN; COMPUTER SIMULATION; ERROR ANALYSIS; INSPECTION; ITERATIVE METHODS; MONTE CARLO METHODS; SURFACE PROPERTIES;

FREE FORM SURFACE REGISTRATION; ITERATIVE CLOSEST POINT (ICP) METHOD; NON UNIFORM RATIONAL B SPLINES (NURBS);

QUALITY ASSURANCE;

EID: 0031388863     PISSN: 09544054     EISSN: None     Source Type: Journal    
DOI: 10.1243/0954405981516544     Document Type: Article

References (20)

1. Jain, R. and Jain, A. Report on Range Image Understanding Workshop, held in East Lansing, Michigan, 21-23 March 1988. Machine Vision and Applications, No. 2, 1989, pp. 45-60 (Springer-Verlag, New York).
2. Newman, T. S. and Jain, A. K. A survey of automated visual inspection. Comp. Vision Image Understanding, March 1995, 61(2), 231-262.
3. Besl, P. J. Surfaces in Range Image Understanding, 1988 (Springer-Verlag, New York).
4. Besl, P. J. and McKay, N. D. A method for registration of 3-d shapes. IEEE Trans. Patt. Ann. Mach. Intell., February 1992, 14(2), 239-255.
5. Menq, C. H., Yau, H. T. and Lai, G. Y. Automated precision measurement of surface profile in CAD-directed inspection. IEEE Trans. Robotics Automn, April 1992, 8(2), 268-278.
6. Haralick, R. M., Joo, H., Lee, C., Zhuang, X., Vaidya, V. G. and Kim, M. B. Pose estimation from corresponding point data. Machine Vision for Inspection and Measurement, 1989 (H. Freeman, New York Academic).
7. Pennec, X. and Thirion, J.-P. Validation of 3-D registration methods based on points and frames. In Fifth International Conference on Computer Vision, Cambridge, Massachusetts, 1995. pp. 557-562 (IEEE, Piscataway, New Jersey).
8. Eggert, D. W., Lorusso, A. and Fisher, R. B. Estimating 3-D rigid body transformations: a comparison of four major algorithms. Mach. Vision and Applic., 1997, 9(5/6), 272-290.
9. Stoddart, A. J., Lemke, S., Hilton, A. and Renn, T. Estimating pose uncertainty for surface registration. In British Machine Vision Conference, Edinburgh, Scotland, 1996.
10. Shreider, Y. A. Method of Statistical Testing-Monte Carlo Method, 1994 (Elsevier, Oxford).
11. Lin, Z. C., Lee, H. and Huang, T. S. Finding 3-D point correspondences in motion estimation. In Eighth International Conference on Pattern Recognition, 1986, pp. 303-305 (IEEE, New York).
12. Arun, A., Huang, T. S. and Blostein, S. D. Least square fitting of two 3-D point sets. IEEE Trans. Patt. Analysis Mach. Intell., 1987, PAMI-9(5), 698-700.
13. Ristic, M. and Brujic, D. Efficient registration of NURBS geometry. Image Vision Comp., 1997 (in press).
14. Brujic, D. and Ristic, M. Analysis of free-form surface registration. In Proceedings of IEEE International Conference on Image Processing, Lausanne, Switzerland, 16-19 September 1996. Vol. 2, pp. 393-396 (IEEE, Piscataway, New Jersey).
15. Von Herzen, B. and Barr, R. M. Accurate triangulations of deformed, intersecting surfaces. Comp. Graphics, July 1987, 21(4), 103-110.
16. Lane, J. M. and Carpenter, L. C. A generalised scan line algorithm for the computer display of parametrically defined surfaces. Comp. Graphics Image Processing, November 1979, 11(3), 290-297.
17. Faugeras, O. Three-Deminsional Computer Vision: A Geometric Viewpoint, 1993 (MIT Press, Cambridge, Massachusetts).
18. Kanatani, K. Analysis of 3-D rotation fitting. IEEE Trans. Patt. Analysis Mach. Intell., 1994, 16(5), 543-549.
19. Dietrich, C. F. Uncertainty, Calibration and Probability, 1991 (Adam Higler, Bristol).
20. Bendat, J. S. and Piersol, A. G. Measurement and Analysis of Random Data, 1996 (John Wiley, New York).