Analysis of a geometric specification

Proceedings of the ASME Design Engineering Technical Conference

Volumn 2, Issue , 2001, Pages 1061-1066

  Serre P ^a   Duong, A N ^b   Riviere A ^a   Ortuzar, A ^b  

^a Inst Sup des Mat Constr Mecan   (France)

^b DASSAULT SYSTÈMES   (France)

Author keywords

Consistency; Geometric constraint; Metric tensor; Variational geometry

Indexed keywords

COMPUTER AIDED DESIGN; CONSTRAINT THEORY; GEOMETRY; MATHEMATICAL MODELS; PARAMETER ESTIMATION; SPECIFICATIONS; TENSORS; VECTORS;

GEOMETRIC CONSTRAINTS; METRIC TENSORS; VARIATIONAL GEOMETRY; 3-DIMENSIONAL SPACES; ANGLE CONSTRAINT; CAD SYSTEM; EXCHANGE OF INFORMATION;

PRODUCTION ENGINEERING; COMPUTER AIDED DESIGN;

EID: 1542750477     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (7)

1. Serré, P., 2000, "Consistency of the specification of an object in a Euclidean space with n dimensions," Ph.D. thesis, Ecole Centrale de Paris.
2. Lamure, H. and Michelucci, D., 1998, "Qualitative Study of Geometric Constraints," Geometric Constraint Solving and Applications, B. Brüderlin and D. Roller (Eds.), Springer-Verlag, pp. 234-258.
3. Lesage, D., Léon, J. C., Serré, P., 2000, "A declarative approach to a 2D variational modeler," 3rd international conference on integrated design and manufacture, Montreal, Canada, May 16-19.
4. Owen, J. C., 1996, "Constraints on simple geometry in two and three dimensions," International Journal of Computational Geometry & Applications, 6.4, pp. 421-434.
5. Bouma, W., Fudos, I., Hoffmann, C. M., Cai, J. and Paige, R., 1995, "Geometric constraint solver", Computer-Aided Design, 27.6, pp. 487-501.
6. Lichnerowicz, A., 1983, Linear algebra and analysis, Ed. Masson.
7. Cartan, E., 1946, Lessons on the geometry of Riemann's spaces, 2nd Edition Gambier-Villars, Paris, reprinted. Jacques Gabay, Paris (1988).