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E-grāmata: 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

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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 towards Advanced 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.

Papildus informācija

Springer Book Archives
Invited Papers.- Degeneracy and Instability in Geometric Computation.-
Industry Application of Geometric Modeling Technology Major Future Issues
and Some Challenges.- Keynote Papers.- Medial Axis Transform (MAT) of General
2D Shapes and 3D Polyhedra for Engineering Applications.- Designing with
Parametric CAD: Classification and Comparison of Construction Techniques.-
Semantic and Multiple-view Feature Modelling: Towards More Meaningful Product
Modelling.- C-Space Approach to Tool-Path Generation for Sculptured Surface
Machining.- User Interfaces for Geometric Modeling.- Required Features of CAD
System as a Real Design Tool.- Geometric Modelling: Lessons Learned from the
STEP Standard.- Feature and New Approaches in Geometric Modelling.- Feature
Management with Multiple Views Based on Convexity Properties of Shape
Region.- Evolution of Interaction in Physically-Based Modelling.- Constraint
Representation and Reduction based on Lie Algebra in Assembly Model.- Solid
Modelling.- Robust Boolean Set Operation by Symbol Processing of Topology.-
Solid Modeling Using Boundary Integral Equations.- Density Spatial Model for
Computer Aided Industrial Design.- Free-Form Surface Modelling.- Streamline
Modeling: Designing Free-Form Surfaces by Blending Tangent Vectors.- The
Bernstein-Bezier Surface on the Simplex.- An Automatic Offsetting Method of
Composite Surfaces.- Fillet Operations with Recursive Subdivision Surfaces.-
Intersection Calculation.- Surface-Surface Intersection with Critical Point
Detection Based on Bézier Normal Vector Surfaces.- A Sweep Line Algorithm for
Polygonal Chain Intersection and its Applications.- Mesh Modelling and
Reverse Engineering.- Subdivision-based Mesh Refinement for Rapid
Prototyping.- Reverse Engineering of 3D Models based on ImageProcessing and
3D Scanning Techniques.- Method to Generate Freeform Surfaces from
Idea-Sketch and Three Dimensional Data.