Ebook: Geometric Modelling: Theoretical and Computational Basis towards Advanced CAD Applications. IFIP TC5/WG5.2 Sixth International Workshop on Geometric Modelling December 7–9, 1998, Tokyo, Japan

Geometric modelling has been an important and interesting subject for many years from the purely mathematical and computer science viewpoint, and also from the standpoint of engineering and various other applications, such as CAD/CAM, entertainment, animation, and multimedia. This book focuses on the interaction between the theoretical foundation of geometric modelling and practical applications in CAD and related areas.
Geometric Modelling: Theoretical and Computational Basis towardsAdvanced CAD Applications starts with two position papers, discussing basic computational theory and practical system solutions. The well-organized seven review papers give a systematic overview of the current situation and deep insight for future research and development directions towards the reality of shape representation and processing. They discuss various aspects of important issues, such as geometric computation for space search and shape generation, parametric modelling, feature modelling, user interface for geometric modelling, geometric modelling for the Next Generation CAD, and geometric/shape standard. Other papers discuss features and new research directions in geometric modelling, solid modeling, free-form surface modeling, intersection calculation, mesh modeling and reverse engineering. They cover a wide range of geometric modelling issues to show the problem scope and the technological importance.
Researchers interested in the current status of geometric modelling research and developments will find this volume to be an essential reference.

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Content:
Front Matter....Pages i-xi
Front Matter....Pages 1-1
Degeneracy and Instability in Geometric Computation....Pages 3-16
Industry Application of Geometric Modeling Technology....Pages 17-33
Front Matter....Pages 35-35
Medial Axis Transform (MAT) of General 2D Shapes and 3D Polyhedra for Engineering Applications....Pages 37-52
Designing with Parametric CAD: Classification and comparison of construction techniques....Pages 53-68
Semantic and multiple-view feature modelling: towards more meaningful product modelling....Pages 69-84
C-space approach to tool-path generation for sculptured surface machining....Pages 85-97
User Interfaces for Geometric Modeling....Pages 98-113
Required features of CAD system as a real design tool....Pages 114-129
Geometric Modelling: Lessons Learned From The ‘Step’ Standard....Pages 130-146
Front Matter....Pages 147-147
Feature Management with Multiple Views Based on Convexity Properties of Shape Region....Pages 149-164
Evolution of Interaction in Physically-based Modelling....Pages 165-178
Constraint Representation and Reduction based on Lie Algebra in Assembly Model....Pages 179-190
Front Matter....Pages 191-191
Robust Boolean Set Operation by Symbol Processing of Topology....Pages 193-208
Solid Modeling Using Boundary Integral Equations....Pages 209-220
Density Spatial Model for Computer Aided Industrial Design....Pages 221-232
Front Matter....Pages 233-233
Streamline Modeling....Pages 235-248
The Bernstein B?zier Surface on the Simplex....Pages 249-257
An Automatic Offsetting Method of Composite Surfaces....Pages 258-268
Fillet Operations with Recursive Subdivision Surfaces....Pages 269-284
Front Matter....Pages 285-285
Surface-Surface Intersection with Critical Point Detection Based on B?zier Normal Vector Surfaces....Pages 287-308
Front Matter....Pages 285-285
A sweep line algorithm for polygonal chain intersection and its applications....Pages 309-321
Front Matter....Pages 323-323
Subdivision-Based Mesh Refinement for Rapid Prototyping....Pages 325-341
Reverse Engineering of 3D Models Based on Image Processing and 3D Scanning Techniques....Pages 342-356
Method to Generate Freeform Surfaces from Idea-sketch and Three Dimensional Data....Pages 357-372

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Content:
Front Matter....Pages i-xi
Front Matter....Pages 1-1
Degeneracy and Instability in Geometric Computation....Pages 3-16
Industry Application of Geometric Modeling Technology....Pages 17-33
Front Matter....Pages 35-35
Medial Axis Transform (MAT) of General 2D Shapes and 3D Polyhedra for Engineering Applications....Pages 37-52
Designing with Parametric CAD: Classification and comparison of construction techniques....Pages 53-68
Semantic and multiple-view feature modelling: towards more meaningful product modelling....Pages 69-84
C-space approach to tool-path generation for sculptured surface machining....Pages 85-97
User Interfaces for Geometric Modeling....Pages 98-113
Required features of CAD system as a real design tool....Pages 114-129
Geometric Modelling: Lessons Learned From The ‘Step’ Standard....Pages 130-146
Front Matter....Pages 147-147
Feature Management with Multiple Views Based on Convexity Properties of Shape Region....Pages 149-164
Evolution of Interaction in Physically-based Modelling....Pages 165-178
Constraint Representation and Reduction based on Lie Algebra in Assembly Model....Pages 179-190
Front Matter....Pages 191-191
Robust Boolean Set Operation by Symbol Processing of Topology....Pages 193-208
Solid Modeling Using Boundary Integral Equations....Pages 209-220
Density Spatial Model for Computer Aided Industrial Design....Pages 221-232
Front Matter....Pages 233-233
Streamline Modeling....Pages 235-248
The Bernstein B?zier Surface on the Simplex....Pages 249-257
An Automatic Offsetting Method of Composite Surfaces....Pages 258-268
Fillet Operations with Recursive Subdivision Surfaces....Pages 269-284
Front Matter....Pages 285-285
Surface-Surface Intersection with Critical Point Detection Based on B?zier Normal Vector Surfaces....Pages 287-308
Front Matter....Pages 285-285
A sweep line algorithm for polygonal chain intersection and its applications....Pages 309-321
Front Matter....Pages 323-323
Subdivision-Based Mesh Refinement for Rapid Prototyping....Pages 325-341
Reverse Engineering of 3D Models Based on Image Processing and 3D Scanning Techniques....Pages 342-356
Method to Generate Freeform Surfaces from Idea-sketch and Three Dimensional Data....Pages 357-372
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