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A constraint hierarchies approach to geometric constraints on sketches

Published: 16 March 2008 Publication History

Abstract

We propose an approach that uses preferences on the constraints in order to deal with over-constrained geometric constraint problems. This approach employs constraint hierarchies, a paradigm that has close relations with the traditional graph-based approaches used in geometric constraint solving. We also remark that any geometric constraint problem defined by imposing relations on a sketch becomes overconstrained as soon as the sketch is imposed as a weak constraint representing the designers intents. As a result our method appears very appropriate in CAD/CAM tools.

References

[1]
M. Gangnet and B. Rosenberg. Constraint programming and graph algorithms. Annals of Mathematics and Artificial Intelligence, 8(3--4):271--284, 1993.
[2]
C. Hoffmann, A. Lomonosov, and M. Sitharam. Decomposition plans for geometric constraint systems. In Proc. J. Symbolic Computation 2000, 2000.
[3]
C. Jermann, G. Trombettoni, B. Neveu, and P. Mathis. Decomposition of geometric constraint systems: a survey. International Journal of Computational Geometry and Applications, 16(5--6):379--414, 2006.

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  • (2011)Geometric Constraint Solving in Parametric Computer-Aided DesignJournal of Computing and Information Science in Engineering10.1115/1.359340811:2Online publication date: 14-Jun-2011

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cover image ACM Conferences
SAC '08: Proceedings of the 2008 ACM symposium on Applied computing
March 2008
2586 pages
ISBN:9781595937537
DOI:10.1145/1363686
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 16 March 2008

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SAC '08: The 2008 ACM Symposium on Applied Computing
March 16 - 20, 2008
Fortaleza, Ceara, Brazil

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  • (2011)Geometric Constraint Solving in Parametric Computer-Aided DesignJournal of Computing and Information Science in Engineering10.1115/1.359340811:2Online publication date: 14-Jun-2011

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