Abstract
The geometric models currently used in CAD-CAM modellers are chiefly based on a procedural approach. Over the past few years, the appearance of parametric and, above all, variational modellers, has opened up the way to a more declarative approach. It is true to say that parametric design is efficient, but it requires knowledge of a design chronology whose flexibility is thus diminished. On the other hand, variational design is very general and flexible but does need the use of solvers to simultaneously solve a large number of non-linear equations.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bouma W., Fudos L, Hoffmann C. M., Cai J., Paige R., « Geometric constraint solver », Computer-Aided Design, Vol. 27, N°6, pp. 487–501, 1995.
Capoyleas V., Chen X., Hoffmann C. M., « Generic Naming in Generative, Constraint-Based Design », Computer-Aided Design, Vol. 28, N° 1, pp. 17–26, 1996.
Clément A, Rivière A, Serre P., Valade C, «The TTRS : 13 Constraints for Dimensioning and Tolerancing », 5th CIRP Seminar on Computer Aided Tolerancing, The University of Toronto, Canada, April 27–29, 1997.
Clément A, Riviere A, Serre P., « The TTRS : a Common Declarative Model for Relative Positioning, Tolerancing and Assembly », MICAD proceedings, Revue de CAD-CAM et d’informatique graphique1, Volume 11 — n° 1–2/1996, Hermès, p. 149–164, February 1996.
Rouché E., De Comberousse C, « Traité de géométrie2 », Jacques Gabay, Paris (France), ISBN 2–87647–136–1, 1997.
Shpitalni M., Lipson H., « Automatic Reasoning for Design under Geometrical Constraints », Annals of the CIRP, Volume 46(1), p. 85–88, 1997.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Clement, A., Riviere, A., Serre, P. (1999). A Declarative Approach for Geometry and Topology: A New Paradigm for CAD-CAM Systems. In: Batoz, JL., Chedmail, P., Cognet, G., Fortin, C. (eds) Integrated Design and Manufacturing in Mechanical Engineering ’98. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9198-0_25
Download citation
DOI: https://doi.org/10.1007/978-94-015-9198-0_25
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5342-8
Online ISBN: 978-94-015-9198-0
eBook Packages: Springer Book Archive