B-spline surface approximation to cross-sections using distance maps

International Journal of Advanced Manufacturing Technology

Volumn 15, Issue 12, 1999, Pages 876-885

  Jeong, J ^a   Kim, K ^a   Park, H ^b   Cho, H ^a   Jung, M ^a  

^a Pohang University of Science and Technology (POSTECH)   (South Korea)

^b SAMSUNG Electronics   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTATIONAL GEOMETRY; COMPUTER SIMULATION; MACHINING; NUMERICAL CONTROL SYSTEMS; RAPID PROTOTYPING; VECTORS;

B-SPLINE SURFACE APPROXIMATIONS; CROSS-SECTIONS; DISTANCE MAPS; SURFACE SKINNING;

COMPUTER INTEGRATED MANUFACTURING;

EID: 0033357512     PISSN: 02683768     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001700050145     Document Type: Article

References (30)

1. M. Rhodes, "Computer graphics and medicine: a complex partnership", IEEE Computer Graphics and Applications, 17(1), pp. 22-28, 1997.
2. R. Gonzalez, R. Woods and R. Gonzalez, Digital Image Processing, Addison-Wesley, 1992.
3. D. Meyers, S. Skinner and K. Sloan, "Surfaces from contours", ACM Transactions, on Graphics, 11(3), pp. 228-258, 1992.
4. A. Ekoule, F. Peyrin and C. Odet, "A triangulation algorithm from arbitrary shaped multiple planar contours", ACM Transactions on Graphics, 10(2), pp. 182-199, 1991.
5. Y. Choi and K. Park, "A heuristic triangulation algorithm for multiple planar contours using an extended double branching procedure", Visual Computer, 10, pp. 372-387, 1994.
6. H. Park and K. Kim, "3D shape reconstruction from 2D cross-sections", Journal of Design and Manufacturing, 5, pp. 171-185, 1995.
7. M. Shantz, "Surface definition for branching contour defined objects", Computer Graphics, 15(2), pp. 242-270, 1981.
8. S. Ganapathy and T. Dennehy, "A new general triangulation method for planar contours", Computer Graphics, 16(3), pp. 69-75, 1982.
9. M. Zyda, R. Allan and P. Hogan, "Surface construction from planar contours", Computers and Graphics, 11(4), pp. 393-408, 1987.
10. J. Boissonnat, "Shape reconstruction from planar cross sections", Computer Vision, Graphics, and Image processing, 44, pp. 1-29, 1988.
11. B. Choi, Surface modeling for CAD/CAM, Elsevier, New York, 1991.
12. B. Piper, "Visually smooth interpolation with triangular Bezier patches", in Geometric Modeling: Algorithms and New Trends, SIAM, 1987.
13. L. Shirman and C. Sequin, "Local surface interpolation with Bezier patches", Computer Aided Geometric Design, 4, pp. 279-295, 1987.
14. H. Park and K. Kim, "An adaptive method for smooth surface approximation to scattered 3D points", Computer Aided Design, 27(12), pp. 929-939, 1995.
15. C. Woodward, "Skinning techniques for interactive B-spline surface interpolation", Computer Aided Design, 20(8), pp. 441-451, 1988.
16. O. Odesanya, W. Waggenspack and D. Thompson, "Construction of biological surface models from cross-sections", IEEE Transactions on Biomedical Engineering, 40(4), pp. 329-334, 1993.
17. P. Kaklis and A. Ginnis, "Sectional-curvature preserving skinning surfaces", Computer Aided Geometric Design, 13(7), pp. 601-619, 1996.
18. F. Schmitt and B. Barsky, "An adaptive subdivision method for surface-fitting from sampled data", Computer Graphics, 20(4), pp. 179-188, 1986.
19. M. Pratt, "Smooth parametric surface approximation to discrete data", Computer Aided Geometric Design, 2, pp. 165-171, 1985.
20. D. Rogers and N. Fog, "Constrained B-spline curve and surface fitting", Computer-Aided Design, 21(10), pp. 641-648, 1989.
21. B. Sarkar and C. Menq, "Smooth-surface approximation and reverse engineering", Computer-Aided Design, 23(9), pp. 623-628, 1991.
22. B. Sarkar and C. Menq, "Parameter optimization in approximating curves and surfaces to measurement data", Computer Aided Geometric Design, 8, pp. 267-290, 1991.
23. L. Piegel and W. Tiller, "Algorithm for approximate NURBS skinning", Computer-Aided Design, 28(9), pp. 699-706, 1996.
24. H. Park and K. Kim, "Smooth surface approximation to serial cross-sections", Computer-Aided Design, 28(12), pp. 995-1005, 1996.
25. J. Hoschek and D. Lasser, Fundamentals of Computer Aided Geometric Design, A. K. Peters, 1993.
26. L. Piegl and W. Tiller, The NURBS Book, Springer, Berlin, 1995.
27. J. Chou and L. Piegl, "Data reduction using cubic rational B-splines", IEEE Computer Graphics and Applications, 12, pp. 60-68, 1992.
28. G. Dobson, W. Waggenspack and H. Lamousin, "Feature based models for anatomical data fitting", Computer Aided Design, 27(2), pp. 139-146, 1995.
29. W. Ma and J. Kruth, "Parameterization of randomly measured points for least squares fitting of B-spline curves and surfaces", Computer-Aided Design, 27(9), pp. 663-675, 1995.
30. U. Wever, "Global and local data reduction strategies for cubic splines", Computer-Aided Design, 23(2), pp. 127-132, 1991.