Ebook: 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.

---

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.

---

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.
Content:
Front Matter....Pages I-VIII
Front Matter....Pages 1-1
The Role of Constraints in Geometric Modelling....Pages 3-23
Progress and Problems in Extending the STEP Standard....Pages 24-39
Front Matter....Pages 41-41
Constraint Propagation Using an Active Semantic Network....Pages 43-57
Analyzing and Optimizing Constraint-Structures in Complex Parametric CAD Models....Pages 58-81
Design Support Using Constraint-Driven Design Spaces....Pages 82-106
Solving Over- and Underconstrained Geometric Models....Pages 107-126
A Constraint-Based Shape Modeling System....Pages 127-147
Front Matter....Pages 149-149
Modelling of Geometric Constraints in CAD-Applications....Pages 151-169
Geometric Constraint Decomposition....Pages 170-195
Desargues: A Constraint-based System for 3D Projective Geometry....Pages 196-210
YAMS: A Multi-Agent System for 2D Constraint Solving....Pages 211-233
Qualitative Study of Geometric Constraints....Pages 234-258
Geometric Relaxation for Solving Constraint-Based Models....Pages 259-270
Front Matter....Pages 271-271
Variational Design and Surface Reconstruction....Pages 273-289
Computer Aided Spectacle Lens Design....Pages 290-299
Back Matter....Pages 301-304

---

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.
Content:
Front Matter....Pages I-VIII
Front Matter....Pages 1-1
The Role of Constraints in Geometric Modelling....Pages 3-23
Progress and Problems in Extending the STEP Standard....Pages 24-39
Front Matter....Pages 41-41
Constraint Propagation Using an Active Semantic Network....Pages 43-57
Analyzing and Optimizing Constraint-Structures in Complex Parametric CAD Models....Pages 58-81
Design Support Using Constraint-Driven Design Spaces....Pages 82-106
Solving Over- and Underconstrained Geometric Models....Pages 107-126
A Constraint-Based Shape Modeling System....Pages 127-147
Front Matter....Pages 149-149
Modelling of Geometric Constraints in CAD-Applications....Pages 151-169
Geometric Constraint Decomposition....Pages 170-195
Desargues: A Constraint-based System for 3D Projective Geometry....Pages 196-210
YAMS: A Multi-Agent System for 2D Constraint Solving....Pages 211-233
Qualitative Study of Geometric Constraints....Pages 234-258
Geometric Relaxation for Solving Constraint-Based Models....Pages 259-270
Front Matter....Pages 271-271
Variational Design and Surface Reconstruction....Pages 273-289
Computer Aided Spectacle Lens Design....Pages 290-299
Back Matter....Pages 301-304
....