Geometric Constraint Solving and Applications

Front Cover
Springer Science & Business Media, 1998 - Computers - 304 pages
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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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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