Geometric Constraint Solving and Applications
Geometric constraint programming increases flexibility in CAD design specifications and leads to new conceptual design paradigms.
This volume features a collection of work by leading researchers developing the various aspects of constraint-based product modeling.
In an introductory chapter the role of constraints in CAD systems of the future and their implications for the STEP data exchange format are discussed. The main part of the book deals with the application of constraints to conceptual and collaborative design, as well as state-of-the-art mathematical and algorithmic methods for constraint solving.
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The Role of Constraints in Geometric Modelling
Progress and Problems in Extending the STEP Standard
Constraints for Conceptual and Collaborative Design
Constraint Propagation Using an Active Semantic Network
Analyzing and Optimizing ConstraintStructures in Complex Parametric CAD Models
Design Support Using ConstraintDriven Design Spaces
Solving Over and Underconstrained Geometric Models
A ConstraintBased Shape Modeling System
Geometric Constraint Decomposition
A Constraintbased System for 3D Projective Geometry
A MultiAgent System for 2D Constraint Solving
Qualitative Study of Geometric Constraints
Geometric Relaxation for Solving ConstraintBased Models
Constraints for Freeform Surfaces
Variational Design and Surface
Computer Aided Spectacle Lens Design
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adjacent algebraic algorithm applications assembly astigmatism augmenting path bipartite graph boundary representation CAD systems complexity components Computer Aided Design Computer-Aided Design constraint graph constraint problem constraint solver constraint system constraint-based constraint-structures construction curvature database systems decomposition defined degrees of freedom dependency graph Desargues described design process design space determined dimensional dimensions displacement edges example Figure freedom analysis functional G-Rep geometric constraints geometric elements geometric entities geometric modelling geoms graph G graph-based approach Graphics interactive interface features intersection involved iteration joint kinematic lens matching method modification nodes numerical operations orientation overconstrained situation plane points probabilistic projective geometry propagation relations representation represented rigid segment instance segment scheme Semantic Network shape sketch Solid Modeling solution solving specified STEP straints strongly connected components structure subfigure subsystems surface system of equations tion topological triangles undirected graph values variables vector vertex vertices weight well-constrained