Algebraic solution for geometry from dimensional constraints
SMA '91 Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications
A graph-constructive approach to solving systems of geometric constraints
ACM Transactions on Graphics (TOG)
G-Rep: geometry and feature representation for an integration with knowledge based design systems
GMCAD '96 Proceedings of the fifth IFIP TC5/WG5.2 international workshop on geometric modeling in computer aided design on Product modeling for computer integrated design and manufacture
Maintaining multiple views in feature modeling
SMA '97 Proceedings of the fourth ACM symposium on Solid modeling and applications
Handbook of discrete and computational geometry
Constructing three-dimensional geometric objects defined by constraints
I3D '86 Proceedings of the 1986 workshop on Interactive 3D graphics
Decomposition plans for geometric constraint problems, part II: new algorithms
Journal of Symbolic Computation
FRONTIER: fully enabling geometric constraints for feature-based modeling and assembly
Proceedings of the sixth ACM symposium on Solid modeling and applications
Graph and combinatorial algorithms for geometric constraint solving
Graph and combinatorial algorithms for geometric constraint solving
Solution space navigation for geometric constraint systems
ACM Transactions on Graphics (TOG)
Solving topological constraints for declarative families of objects
Proceedings of the 2006 ACM symposium on Solid and physical modeling
Geometric constraints solving: some tracks
Proceedings of the 2006 ACM symposium on Solid and physical modeling
Solution space navigation for geometric constraint systems
ACM Transactions on Graphics (TOG)
Artificial Intelligence for Engineering Design, Analysis and Manufacturing
Solving topological constraints for declarative families of objects
Computer-Aided Design
A non-rigid cluster rewriting approach to solve systems of 3D geometric constraints
Computer-Aided Design
Detecting design intent in approximate CAD models using symmetry
Computer-Aided Design
Solving systems of 3D geometric constraints with non-rigid clusters
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
A 2D geometric constraint solver using a graph reduction method
Advances in Engineering Software
Constructing regularity feature trees for solid models
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Interrogating witnesses for geometric constraint solving
Information and Computation
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We study the problem of enabling general 2D and 3D variational constraint representation to be used in conjunction with a feature hierarchy representation, where some of the features may use procedural or other non-constraint based representations. We trace the challenge to a requirement on constraint decomposition algorithms or decomposition-recombination (DR) planners used by most variational constraint solvers, formalize the feature hierarchy incorporation problem for DR-planners, clarify its relationship to other problems, and provide an efficient algorithmic solution. The new algorithms have been implemented in the general, 2D and 3D opensource geometric constraint solver FRONTIER developed at the University of Florida.