System and method for improved solving of equations employed dur

Details System and method for improved solving of equations employed dur System and method for improved solving of equations employed dur

1993-06-21

1995-12-26

Zimmerman, Mark K.

G06T 1120

Patent

active

054795931

ABSTRACT:
A system and method for generating a parametric profile of an object to be modelled is shown which receives input from a user in the form of equations, generates further equations inherent to a profile definition, prioritizes the equations into ranked classes, sorts the prioritized equations to thereby create an ordered solved equation list, solves the sorted equations in the order they appear on the solved equation list and generates a profile of geometry entities constructed from the solutions of the solved equations. The system and method automatically constrain unknown variables within any under-populated equation sets based on heuristics and employ any redundant equations to determine and resolve conflicts among the equations to be used for generating the profile.

REFERENCES:
Pabon, et al., "Integrating Parametric Geometry, Features, and Variational Modeling for Conceptual Design", International Journal of Systems Automation: Research and Applications, vol. 2, 1992, US, pp. 17-36.
Derman, et al., "HEQS--A Hierarchical Equation Solver", AT & T Technical Journal, vol. 64, No. 9, Nov. 1985, New York, US, pp. 2061-2096.
Chung, et al., "Technical Evaluation of Variational and Parametric Design", Proceedings of the 1990 ASME International Computers in Engineering Conference and Exposition, Aug. 5, 1990, US, pp. 289-298.

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