Interpolating nets of curves by smooth subdivision surfaces

Proceedings of the 26th Annual Conference on Computer Graphics and Interactive Techniques, SIGGRAPH 1999

Volumn , Issue , 1999, Pages 57-64

  Levin, Adi ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

Combined subdivision schemes; Interpolation; Net of curves; Subdivision

Indexed keywords

COMPUTER GRAPHICS; INTERACTIVE COMPUTER GRAPHICS; INTERPOLATION;

BOUNDED CURVATURE; NET OF CURVES; PARAMETRIC REPRESENTATIONS; SMOOTH SURFACE; SUBDIVISION; SUBDIVISION ALGORITHMS; SUBDIVISION SCHEMES; SUBDIVISION SURFACES;

THREE DIMENSIONAL COMPUTER GRAPHICS;

EID: 84892955146     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/311535.311541     Document Type: Conference Paper

References (18)

1. E. Catmull and J. Clark. Recursively generated b-spline surfaces on arbitrary topological meshes. Computer Aided Design, 10:350-355, 1978.
2. T. DeRose, M. Kass, and T. Truong. Subdivision surfaces in character animation. In SIGGRAPH 98 Conference Proceedings, Annual Conference Series, pages 85-94. ACM SIGGRAPH, 1998.
3. D. Doo and M. Sabin. Behaviour of recursive division surface near extraordinary points. Computer Aided Design, 10:356-360, 1978.
4. N. Dyn, J. A. Greogory, and D. Levin. A butterfly subdivision scheme for surface interpolation with tension control. ACM Transactions on Graphics, 9:160-169, 1990.
5. M. Halstead, M. Kass, and T. DeRose. Efficient, fair interpolation using catmull-clark sutfaces. In SIGGRAPH 93 Conference Proceedings, Annual Conference Series, pages 35-44. ACM SIGGRAPH, 1993.
6. L. Kobbelt, T. Hesse, H. Prautzsch, and K. Schweizerhof. Interpolatory subdivision on open quadrilateral nets with arbitrary topology. Computer Graphics Forum, 15:409-420, 1996. Eurographics '96 issue.
7. A. Levin. Analysis of combined subdivision schemes 1. in preparation, available on the web at http://www.math.tau.ac.il/~adilev, 1999.
8. A. Levin. Analysis of combined subdivision schemes 2. in preparation, available on the web at http://www.math.tau.ac.il/~adilev, 1999.
9. A. Levin. Analysis of combined subdivision schemes for the interpoation of curves. SIGGRAPH'99 CDROM Proceedings, 1999.
10. A. Levin. Combined subdivision schemes for the design of surfaces satisfying boundary conditions. To appear in CAGD, 1999.
11. C. Loop. Smooth spline surfaces based on triangles. Master's thesis, University of Utah, Department of Mathematics, 1987.
12. A. H. Nasri. Curve interpolation in recursively generated bspline surfaces over arbitrary topology. Computer Aided Geometric Design, 14:No 1, 1997.
13. A. H. Nasri. Interpolation of open curves by recursive subdivision surface. In T. Goodman and R. Martin, editors, The Mathematics of Surfaces VII, pages 173-188. Information Geometers, 1997.
14. M. Sabin. Cubic recursive division with bounded curvature. In P. J. Laurent, A. le Mehaute, and L. L. Schumaker, editors, Curves and Surfaces, pages 411-414. Academic Press, 1991.
15. J. Schweitzer. Analysis and Applications of Subdivision Surfaces. PhD thesis, University of Washington, Seattle, 1996.
16. D. J. T. Storry and A. A. Ball. Design of an n-sided surface patch. Computer Aided Geometric Design, 6:111-120, 1989.
17. G. Taubin. A signal processing approach to fair surface design. In Robert Cook, editor, SIGGRAPH 95 Conference Proceedings, Annual Conference Series, pages 351-358. ACM SIGGRAPH, Addison Wesley, August 1995. held in Los Angeles, California, 06-11 August 1995.
18. D. Zorin, P. Schröder, and W. Sweldens. Interpolating subdivision for meshes with arbitrary topology. Computer Graphics Proceedings (SIGGRAPH 96), pages 189-192, 1996.