Efficient, fair interpolation using Catmull-Clark surfaces

Proceedings of the 20th Annual Conference on Computer Graphics and Interactive Techniques, SIGGRAPH 1993

Volumn , Issue , 1993, Pages 35-44

  Halstead, Mark ^b   Kass, Michael ^a   DeRosey, Tony ^c  

^a APPLE INC   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c UNIVERSITY OF WASHINGTON   (United States)

Author keywords

B spline surfaces; Computer aided geometric design; Subdivision surfaces; Thin plate splines

Indexed keywords

COMPUTER AIDED DESIGN; INTERPOLATION; MESH GENERATION;

B SPLINE SURFACE; CATMULL-CLARK SUBDIVISION SURFACES; COMPUTER AIDED GEOMETRIC DESIGNS; INTERPOLATION CONDITION; INTERPOLATION TECHNIQUES; NUMERICAL INTEGRATIONS; SUBDIVISION SURFACES; THIN PLATE SPLINE;

INTERACTIVE COMPUTER GRAPHICS;

EID: 84945339133     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/166117.166121     Document Type: Conference Paper

References (14)

1. A. A. Ball and J. T. Storry. Conditions for tangent plane continuity over recursively defined B-spline surfaces. ACM Transactions on Graphics, 7(2):83-102, April 1988.
2. E. Catmull and J. Clark. Recursively generated B-spline surfaces on arbitrary topological meshes. Computer Aided Design, 10(6):350-355, 1978.
3. George Celniker and Dave Gossard. Deformable curve and surface finite elements for free-form shape design. In Proceedings of SIGGRAPH '91, pages 257-265, July 1991.
4. G. Chaikin. An algorithm for high speed curve generation. Computer Graphics and Image Processing, 3:346- 349, 1974.
5. R. Clough and J. Tocher. Finite element stifiness matrices for analysis of plate bending. In Matrix Methods in Structural Mechanics (Proceedings of the conference held at Wright-Patterson Air Force Base, Ohio, 26-28 October 1965), pages 515-545, 1966.
6. D. Doo and M. Sabin. Behaviour of recursive division surfaces near extraordinary points. Computer Aided Design, 10(6):356-360, 1978.
7. Gene H. Golub and Charles F. Van Loan. Matrix Computations. The Johns Hopkins University Press, Baltimore, 2nd edition, 1989.
8. G. Herron. Techniques for visual continuity. In G. Farin, editor, Geometric Modeling, pages 163-174. SIAM, 1987.
9. Charles T. Loop. Smooth subdivision surfaces based on triangles. M.S. Thesis, Department of Mathematics, University of Utah, August 1987.
10. Michael Lounsbery, Stephen Mann, and Tony DeRose. Parametric surface interpolation. IEEE Computer Graphics and Applications, 12(5):45-52, September 1992.
11. Henry P. Moreton and Carlo Söequin. Functional optimization for fair surface design. In Proceedings of SIGGRAPH '92, pages 167-176, July 1992.
12. Ahmad H. Nasri. Polyhedral subdivision methods for free-form surfaces. ACM Transactions on Graphics, 6(1):29-73, January 1987.
13. Malcolm Sabin. Recursive division singular points. Unpublished manuscript, June 1992.
14. L. Shirman and C. Söequin. Local surface interpolation with Brezier patches. Computer Aided Geometric Design, 4(4):279-296, 1988.