Solution selectors: A user-oriented answer to the multiple solution problem in constraint solving

Journal of Mechanical Design

Volumn 125, Issue 3, 2003, Pages 443-451

  Bettig, Bernhard ^a   Shah, Jami ^b  

^a Michigan Technological University   (United States)

^b Arizona State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; PROBLEM SOLVING; PROCESS ENGINEERING;

DESIGN PROCESS; FLEXIBLE MECHANISM; SOLID MODELING;

COMPUTER AIDED DESIGN;

EID: 0141842705     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1587749     Document Type: Article

References (20)

1. Unigraphics, 2001, "Unigraphics: Product Overview," http://www.ugsolutions.com/products/unigraphics/overview, February 7.
2. SDRC, 2001, "SDRC-Get There Faster," http://www.SDRC.com/ideas/index.shtml, February 7.
3. Autodesk, 2001, "Autodesk Inventor," http://www3.autodesk.com/adsk/index/0,392705-123112,00.html, February 7.
4. Buchanan, S. A., and de Pennington, A., 1993, "The Constraint Definition System: A Computer Algebra Based Approach to Solving Geometric Problems," Comput-Aided Des., 25(12).
5. Hoffmann, C. M., 1993, "On the Semantics of Generative Geometry Representations," Proc. 19th ASME Design Conference, Vol. 2, pp. 411-420.
6. Bouma, W., Fudos, I., Hoffmann, C., Cai, J., and Paige, R., 1995, "Geometric Constraint Solver," Comput.-Aided Des., 27(6), pp. 487-501.
7. van Emmerik, M., 1991, "Interactive Design of 3D Models with Geometric Constraints," Visual Comput., 7, pp. 309-325.
8. Solano, L., and Brunet, P., 1993, "A System for Constructive Constraint-Based Modeling," Modeling in Computer Graphics, B. Falcidieno, T. L. Kunii, eds. Springer-Verlag, Berlin.
9. Kramer, G. A., 1992 Solving Geometric Constraint Systems, The MIT Press, Cambridge, MA.
10. Fudos, I., and Hoffmann, C. M., 1996, "Correctness Proof of a Geometric Constraint Solver," Intl. J. of Computational Geometry and Applications, 6(4), pp. 405-420.
11. Fudos, I., and Hoffman, C. M., 1997 "A Graph-Constructive Approach to Solving Systems of Geometric Constraints," ACM Trans. Graphics, 16(2), pp. 179-216.
12. Shimizu, S., Inoue, K., and Numao, M., 1991, "An ATMS-Based Geometric Constraint Solver for 3D CAD," Proc. Third Int. Conf. On Tools for AI, San Jose, CA, Nov. IEEE Computer Society Press, Los Alamitos, CA.
13. Aldefeld, B., 1988, "Variation of Geometries Based on a Geometric-Reasoning Method," Comput.-Aided Des., 20(3), pp. 117-126.
14. Owen, J. C., 1991, "Algebraic Solution for Geometry from Dimensional Constraints," Proc. Symposium on Solid Modeling Foundations and CAD/CAM Applications, Austin, Texas, June 5-7, acm press, New York.
15. D-Cubed, 1999, The 2D DCM Manual Version 3.7.0, D-Cubed Ltd., Cambridge, England.
16. Suzuki, H., Hidetoshi, A., and Kimura, F., 1990, "Geometric Constraints and Reasoning for Geometrical CAD Systems," Comput. Graph., 14(2), pp. 211-224.
17. Venkatamaran, S., 2000, "Integration of Design by Features and Feature Recognition," Master's Thesis, Arizona State University, Tempe, AZ.
18. Bettig, B., and Shah, J., 2001, "Derivation of a Standard Set of Geometric Constraints for Parametric Modeling and Data Exchange," Comput.-Aided Des., 33, pp. 17-33.
19. Nielson, J., and Roth, B., 1998, "Formulation and Solution for the Direct and Inverse Kinematics Problems for Mechanisms and Mechatronic Systems," Computation Methods in Mechanical Systems: Mechanism Analysis, Synthesis and Optimization, J. Angeles, E. Zakhariev, eds., Springer, New York, pp. 33-52.
20. Bettig, B., and Shah, J., 1999, "An Object-oriented Program Shell for Integrating CAD Software Tools," Adv. Eng. Software, 30(8), pp. 529-541.