عنوان

Theory and Practice of Geometric Modeling

(Number (ISBN

3642615422

(Number (ISBN

3642648665

(Number (ISBN

9783642615429

(Number (ISBN

9783642648663

Number

b571819

Title Proper

Theory and Practice of Geometric Modeling

General Material Designation

[Book]

First Statement of Responsibility

edited by Wolfgang Stra€er, Hans-Peter Seidel.

Place of Publication, Distribution, etc.

Berlin, Heidelberg

Name of Publisher, Distributor, etc.

Springer Berlin Heidelberg

Date of Publication, Distribution, etc.

1989

Specific Material Designation and Extent of Item

(x, 547 pages 282 illustrations)

Text of Note

A Algorithmic Aspects.- A Useful Polynomial Representation of Multiply Continuous Functions in the Unit Domain.- Computing B-Spline Control Points.- Approximate Parametrization of Algebraic Curves.- Geometric Modeling of Smooth Surfaces Using Triangular Patches.- The Generation of Ship Hulls with Given Design Parameters Using Tensor Product Surfaces.- Filling Polygonal Holes with Rectangular Patches.- Mesh Fairing GC1 Surface Generation Method.- Bernstein-Bezier Representation of Solid Modeling.- Constructive Solid Geometry with Sculptured Primitives Using Inner and Outer Sets.- A Uniform Representation Scheme for Freeform Geometric Modelling.- B Surface Intersections, Blending, Ray Tracing.- The Generalized Inverse Matrix and the Surface-Surface Intersection Problem.- Using Plane Vector Fields to Obtain all the Intersection Curves of Two General Surfaces.- Topological Considerations in Blending Boundary Representation Solid Models.- Blend Design as a Boundary-Value Problem.- Cyclide Blending in Solid Modelling.- Some Remarks on Cyclides in Solid Modeling.- Ray Tracing of Boundary Models with Implicit Blend Surfaces.- Ray Tracing Parametric Surfaces by Subdivision in Viewing Plane.- C Geometric Tools.- A Coordinate-Free Approach to Geometric Programming.- Containment Algorithms for Objects in Rectangular Boxes.- D Different Representation Schemes in Solid Modeling.- Integrated Polytrees: A Generalized Model for the Integration of Spatial Decomposition and Boundary Representation.- On Boundary to CSG and Extended Octrees to CSG Conversions.- Relationship Between S-Bounds and Active Zones in Constructive Solid Geometry.- Solid Modeling Schemes and Solid Reconstruction.- The Use of Geometric Models in Robotic Applications.- Experiences Using Adjacency Analysis for Building Topology Structures.- Information Structures and Database Support for Solid Modeling.- E Product Modeling and High Level Specifications.- Intelligent CAD-Systems Based on Technical Associative Modelling.- Graphical Interaction on Procedural Object Descriptions.- Feature Oriented System Design for Geometric Modeling.- Matching Measured Components to Solid Models.- Dimension-Driven Geometry in CAD: A Survey.- Representation and Communication in Geometric Modelling.- List of Authors.

Text of Note

This book originates from the lectures given at the international conference "Theory and Practice of Geometric Modeling", Blaubeuren, FRG, October 3-7, 1988, that brought together leading experts from universities, system developers, and system users, to discuss new concepts and future trends in geometric modeling. The book covers a variety of topics on an advanced level and is organized as follows. Part A contains new algorithms and techniques for modeling objects that are bounded by free form surfaces. Part B focuses on surface/surface intersections, new types of blending surfaces and speed ups for ray tracing. Part C contains some new geometric tools. Part D discusses different representation schemes in solid modeling, conversions between these different schemes, and some applications. Part E covers some issues of product modeling, automatic tolerancing, high level specification of solid models (constraints, features) and the need for better user interfaces.

Parallel Title

Result of the Lectures and Discussions during the Conference

Computer hardware.

Computer science.

Software engineering.

edited by Wolfgang Stra€er, Hans-Peter Seidel.

Hans-Peter Seidel

Wolfgang Stra€er

Electronic name

[Book]

Y