What is a parametric family of solids?
SMA '95 Proceedings of the third ACM symposium on Solid modeling and applications
GRASP—a new search algorithm for satisfiability
Proceedings of the 1996 IEEE/ACM international conference on Computer-aided design
The generic geometric complex (GGC): a modeling scheme for families of decomposed pointsets
SMA '97 Proceedings of the fourth ACM symposium on Solid modeling and applications
Boundary representation deformation in parametric solid modeling
ACM Transactions on Graphics (TOG)
Efficient conflict driven learning in a boolean satisfiability solver
Proceedings of the 2001 IEEE/ACM international conference on Computer-aided design
On Families of Objects and their Semantics
GMP '00 Proceedings of the Geometric Modeling and Processing 2000
Efficiency of boundary evaluation for a cellular model
Computer-Aided Design
Geometric constraints within feature hierarchies
Computer-Aided Design
Tracking topological changes in parametric models
Computer Aided Geometric Design
On the long-term retention of geometry-centric digital engineering artifacts
Computer-Aided Design
A formal framework for declarative scene description transformation into geometric constraints
KES'11 Proceedings of the 15th international conference on Knowledge-based and intelligent information and engineering systems - Volume Part I
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Parametric and feature-based CAD models can be considered to represent families of similar objects. In current modelling systems, however, the semantics of such families are unclear and ambiguous. We present the Declarative Family of Objects Model (DFOM), which enables us to adequately specify and maintain family semantics. In this model, not only geometry, but also topology is specified declaratively, by means of constraints. A family of objects is modelled by a DFOM with multiple realizations. A member of the family is modelled by adding constraints, e.g. to set dimension variables, until a single realization remains. The declarative approach guarantees that the realization of a family member is also a realization of the family. The realization of a family member is found by solving first the geometric constraints, and then the topological constraints. From the geometric solution, a cellular model is constructed. Topological constraints indirectly specify which combinations of cellular model entities are allowed in the realization. The system of topological constraints is mapped to a Boolean constraint satisfaction problem. The realization is found by solving this problem using a SAT solver.