Catmull-Clark surface fitting for reverse engineering applications

Proceedings - Geometric Modeling and Processing 2000: Theory and Applications

Volumn , Issue , 2000, Pages 274-283

  Ma, Weiyin ^a   Zhao, Nailiang ^a  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; GEOMETRY; INTERPOLATION; REVERSE ENGINEERING; THREE DIMENSIONAL COMPUTER GRAPHICS;

ARBITRARY TOPOLOGY; BICUBIC B-SPLINE SURFACE; COMPUTER MODELING; DIMENSIONAL MEASUREMENTS; ENGINEERING APPLICATIONS; FREE-FORM SURFACE; LINEAR LEAST SQUARES; SURFACE BOUNDARIES;

SPLINES;

EID: 84969557037     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/GMAP.2000.838259     Document Type: Conference Paper

References (14)

1. Catmull, E., and J. Clark, "Recursively Generated B-spline Surfaces on Arbitrary Topological Meshes", Computer-Aided Design, Vol. 10, No. 6, 1978, pp. 350-355.
2. Choi, B. K., Surface Modeling for CAD/CAM, Elsevier, Amsterdam, 1991.
3. Eck, M., and H. Hoppe, "Automatic Reconstruction of B-Spline Surfaces of Arbitrary Topology Type", Computer Graphics, Vol. 30, 1996, pp. 325-334.
4. Farin, G., Curves and Surfaces for Computer Aided Geometric Design - A Practical Guide, Academic Press, San Diego, 1992.
5. Halstead, M., M. Kass, and T. DeRose, "Efficient, Fair Interpolation Using Catmull-Clark Surfaces", In Proceedings of the ACM SIGGRAPH Conference on Computer Graphics, 1993, pp. 35-44.
6. Loop, C., and T. DeRose, "Generalized B-spline Surfaces of Arbitrary Topology", Computer Graphics, Vol. 24, No. 4, 1990, pp. 347-356.
7. Ma, W., and J. P. Kruth, "Parametrization of Randomly Measured Points for the Least Squares Fitting of B-spline Curves and Surfaces", Computer-Aided Design, Vol. 27, No. 9, 1995, pp. 663-675.
8. nd CIRP International Seminar on Manufacturing Systems, Leuven, Belgium, May 24-26, 1999, pp. 53-62.
9. 1 Continuity of B-Spline Surface Patches in Reverse Engineering", Computer-Aided Design, Vol. 27, No. 6, 1995, pp. 471-478.
10. Qin, H., C. Mandal, and B. C. Vemuri, "Dynamic Catmull-Clark Subdivision Surfaces", IEEE Transactions on Visualization and Computer Graphics, Vol. 4, No. 3, 1998, pp. 215-229.
11. Sederberg, T. W., J. Zheng, D. Sewell, and M. Sabin, "Non-Uniform Recursive Subdivision Surfaces", in Proceedings of the ACM SIGGRAPH Conference on Computer Graphics, 1998, pp. 387-393.
12. Stam, J., "Exact Evaluation of Catmull-Clark Subdivision Surfaces at Arbitrary Parameter Values", in Proceedings of the ACM SIGGRAPH Conference on Computer Graphics, 1998, pp. 395-404.
13. Várady, R. Martin, and J. Cox, "Reverse Engineering of Geometric Models - an Introduction", Computer-Aided Design, Vol. 29, No. 4, 1997, pp. 255-268.
14. Zorin, D. and P. Schröder, Eds., Subdivision for Modeling and Animation, SIGGRAPH'99 Course Notes, Los Angeles, August 1999.