“Visual interaction with overhauser curves and surfaces” by Brewer
Conference:
Type(s):
Title:
- Visual interaction with overhauser curves and surfaces
Presenter(s)/Author(s):
Abstract:
The method of parabolic blending for curve and surface interpolation originally conceived by A. W. Overhauser is applied to the interactive free-form design of three dimensional objects. A significant advantage of the algorithm is the user-oriented control of surface shape that is achieved because one interactively manipulates only coordinates on the design surface, as opposed to parametric slopes or design points.The algorithm is demonstrated using an interactive 3D design system that executes in a dual-minicomputer refresh graphics environment without special 3D hardware. The system provides high level data generation commands and direct visual interaction with structured 3D data using a multi-purpose 3D cursor and shaping tool. Objects composed of points, lines, curves and surfaces of different forms may be interactively created and manipulated.
References:
1. Coons, S. A. Surfaces for computer-aided design of space forms. Project MAC, M.I.T. (June 1967).
2. Armit, A. P. Computer systems for interactive design of three-dimensional shapes. Ph.D. Thesis, University of Cambridge Computer Lab (November 1970).
3. Bezier, P. E. Emploi des Machines a Commande Numerique, Masson et Cie, Paris, France (1970).
4. Riesenfeld, R. F. Applications of B-spline approximation to geometric problems of computer-aided design. Ph.D. Thesis, Syracuse University (1972).
5. Clark, J. H. Designing surfaces in 3-D. CACM 19, 8 (August 1976), 454-460.
6. Overhauser, A. W. Analytic definition of curves and surfaces by parabolic blending. Scientific Research Staff Publication, Ford Motor Company (May 1968).
7. Rogers, D. F. and Adams, J. A. Mathematical elements for computer graphics. McGraw-Hill, Inc. (1976), 133-138.
8. Brewer, J. A. and Anderson, D. C. Techniques for interactive three dimensional design. To be published in the proceedings of the ACM/SIGGRAPH Workshop on “User-Oriented Design of Interactive Graphics Systems”. Pittsburqh, PA. (October 1976).
9. Brewer, J. A. Three Dimensional Design by Graphical Man-Computer Communication. Ph.D. Thesis, Purdue University (May, 1977).
