Geometric Constraint Solving and Applications

Front Cover
Springer Science & Business Media, 1998 - Computers - 304 pages
1 The Semantics of Geometric Constraints.- The Role of Constraints in Geometric Modelling.- Progress and Problems in Extending the STEP Standard.- 2 Constraints for Conceptual and Collaborative Design.- Constraint Propagation Using an Active Semantic Network.- Analyzing and Optimizing Constraint Structures in Complex Parametric CAD Models.- Design Support Using Constraint-Driven Design Spaces.- Solving Over- and Underconstrained Geometric Models.- A Constraint-Based Shape Modeling System.- 3 Constraint Representation and Solving Methods.- Modelling of Geometric Constraints in CAD-Applications.- Geometric Constraint Decomposition.- Desargues: A Constraint-Based System for 3D Projective Geometry.- YAMS: A Multi Agent for 2D Constraint Solving.- Qualitative Study of Geometric Constraints.- Geometric Relaxation for Solving Constraint-Based Models.- 4 Constraints for Freeform Surfaces.- Variational Design and Surface Reconstruction.- Computer Aided Spectacle Lens Design.

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Contents

The Role of Constraints in Geometric Modelling
3
Progress and Problems in Extending the STEP Standard
24
Constraints for Conceptual and Collaborative Design
41
Constraint Propagation Using an Active Semantic Network
43
Analyzing and Optimizing ConstraintStructures in Complex Parametric CAD Models
58
Design Support Using ConstraintDriven Design Spaces
82
Solving Over and Underconstrained Geometric Models
107
A ConstraintBased Shape Modeling System
127
Geometric Constraint Decomposition
170
A Constraintbased System for 3D Projective Geometry
196
A MultiAgent System for 2D Constraint Solving
211
Qualitative Study of Geometric Constraints
234
Geometric Relaxation for Solving ConstraintBased Models
259
Constraints for Freeform Surfaces
271
Variational Design and Surface
273
Computer Aided Spectacle Lens Design
290

Constraint Representation and Solving Methods
149
Modelling of Geometric Constraints in CADApplications
151

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