By R. Barnhill
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Additional info for Computer Aided Geometric Design
Carnegie-Mellon University, Institute of Physical Planning, Re search Report 31, September 1972. 12. , A Language for 3D Graphics Applica tions. Proc. International Computing Symposium, Davos Switzerland, 1973. North Holland, Amsterdam 1974. 13. , Curves and Surfaces for Computer Aided Design. D. Thesis, University of Cambridge, 1968. 14. , Computational Geometry, Proc. Roy. Soc. London A. 321, 187-195 (1971). 15. , Interactive Interpolation and Approximation by Bezier Polynomials. Computer Journal, Vol.
Curves and Surfaces for Computer Aided Design. D. Thesis, University of Cambridge, 1968. 14. , Computational Geometry, Proc. Roy. Soc. London A. 321, 187-195 (1971). 15. , Interactive Interpolation and Approximation by Bezier Polynomials. Computer Journal, Vol. 15 No. 1, 71-79 (1972). 16. , On Coons and Other Methods for the Representation of Curved Surfaces. Computer Graphics and Image Processing 1, 341-359 (1972). 17. , A Computer Peripheral for Making Three-Dimensional Models. Proc. AFCET-IRIA Journées Graphics, Rocquencourt, France, 1973.
The vector-valued approach allows us to handle geometric quantities rather than functional data, but we still do not have the means to handle smoothness. For example, the finite element method43 has recently attracted a lot of attention among workers in approximation theory and this area is clearly re lated to geometric representation. In discretising a structure into an assembly of simple components which can be analysed the shape is approximated. In order to determine the forces etc. acting on components, continuity constraints are imposed on the components.
Computer Aided Geometric Design by R. Barnhill