Fine timing: Curve and surface deformation by scaling derivatives

Proceedings - Pacific Conference on Computer Graphics and Applications

Volumn 2001-January, Issue , 2001, Pages 150-159

  Miura, Kenjiro T ^a   Cheng, Fuhua ^b   Wang, Lazhu ^c  

^a SHIZUOKA UNIVERSITY   (Japan)

^b UNIVERSITY OF KENTUCKY   (United States)

^c Raindrop Geomagic   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER GRAPHICS; DEFORMATION;

CURVATURE DISTRIBUTIONS; CURVE AND SURFACE; DESIGN PROCESS; LOCAL METHODS; PARAMETRIC CURVE; SCALAR FUNCTION; SHAPE DESIGNS; SUBDIVISION CURVE;

THREE DIMENSIONAL COMPUTER GRAPHICS;

EID: 84952889414     PISSN: 15504085     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/PCCGA.2001.962868     Document Type: Conference Paper

References (16)

1. E. Catmull and J. Clark. Recursively generated b-spline surfaces on arbitrary topological meshes. Computer-aided Design, 10(6):350-255, 1978.
2. G. Chaikin. An algorithm for high-speed curve generation. Computer Graphics and image Processing, 3:346-349, 1974.
3. T. DeRose, M. Kass, and T. Truong. Subdivision surfaces in character animation. Computer Graphics, 32:85-94, July 1998.
4. D. Doo and M. Sabin. Behaviour of recursive division faces near extraordinary points. Computer-aided Design, 10(6):356-360, July 1978.
5. G. Farin. Curves and Surfaces for Computer-Aided Geometric Design. Academic Press, San Diego, CA, 1997.
6. D. Meek and R. Thomas. A guided clothoid spline. Computer Aided Geometric Design, 8:163-174, 1991.
7. K. Miura. Unit quaternion integral curve: A new type of fair free-form curves. Computer Aided Geometric Design, 17(1):39-58, 2000.
8. H. Moreton and C. Séquin. Functional optimization for fair surface design. Computer Graphics, 26(2):167-176, 1992.
9. K. Morken. Some identities for products and degree raising of splines. Constructive Approximation, 27(2):195-208, 1991.
10. L. Piegl and W. Tiller. Algorithm for degree reduction of b-spline curves. Computer-aided Design, 27(2):101-110, 1995.
11. L. Piegl and W. Tiller. Symbolic operators for nurbs. Computer-aided Design, 29(5):361-368, 1995.
12. L. Piegl and W. Tiller. The NURBS Book. Springer-Verlag, 1997.
13. W. Press, B. Flannery, S. Teukolsky, and W. Vetterling. Numerical Recipes in C. Cambridge University Press, 1988.
14. N. Sapidis. Desigining Fair Curves and Surfaces. SIAM, 1994.
15. T. Sederberg and S. Parry. Free-form deformation of solid primitives. Computer Graphics, 20:151-160, August 1986.
16. T. Sederberg, J. Zheng, D. Sewell, and M. Sabin. Nonunifrom recursive subdivision surfaces. Computer Graphics, 32:387-394, 1998.