“Variational geometry in computer-aided design” by Lin, Gossard and Light
Conference:
Type(s):
Title:
- Variational geometry in computer-aided design
Presenter(s)/Author(s):
Abstract:
A system has been developed which utilizes variational geometry in the design and modification of mechanical parts. Three-dimensional constraints between characteristic points are used to define an object’s geometry. Modification of geometry is accomplished by alteration of one or more constraints. A matrix method is used to determine the shape of the part by simultaneous solution of constraint equations. A method for increasing the speed and efficiency of the solution procedure is described. The method uses the relationships between the geometry and constraints to minimize the number of equations and variables to be solved.
References:
1. Hillyard, R.C. Dimensions and Tolerances in Shape Design, Technical Report No. 8, University of Cambridge Computer Laboratory, Cambridge, England, 1978.
2. Hillyard, R. C. and Braid, I.C. Characterizing Non-ideal Shapes in Terms of Dimensions and Tolerances, Computer Graphics, ACM-Siggraph, Vol 12, No. 3, pp 234-238, August 1978.
3. Hillyard, R.C. and Braid, I.C. Analysis of Dimensions and Tolerances in Computer-Aided Mechanical Design, Computer-Aided Design, Vol 10, pp 161-166, June 1978.
4. Light, R.A. Symbolic Dimensioning in Computer-Aided Design, M.S. Thesis, Massachusetts Institute of Technology, Cambridge, MA, February 1980.
5. Lin, V.C. Two Segmentation Methods, Technical Document No. 21, MIT Computer-Aided Design Laboratory, Cambridge, MA, November 1980.
6. Sutherland, I.E. Sketchpad: A Man-machine Graphical Communication System, MIT Lincoln Laboratory Technical Report No. 296, Lexington, MA, January 1963.
