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Geometric Modeling - Theory and Practice : The State of the Art : World in Transition, - Wolfgang Strasser

Geometric Modeling - Theory and Practice : The State of the Art

World in Transition,

By: Wolfgang Strasser (Editor), Reinhard Klein (Editor), Rene Rau (Editor)

Paperback ISBN: 9783540618836
Number Of Pages: 434

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The state of the art of geometric modeling is described and discussed in this volume, based on the international conference held in Blaubeuren, Germany, in October 1996. The contributions cover the most relevant topics in the field at an advanced level and are authored by leading experts from universities, CAD system vendors, and users of geometric modelers. The book is organized into parts dealing with: mathematical tools for geometric modeling, including variational design, particle systems, and interpolation and approximation methods; representations in solid modeling and conversion problems; requirements to be met by a modeler for the automotive industry; and applications like automated assembly. The readability and clarity of the text is supported by fine illustrations.

Variational Design with Boundary Conditions and Parameter Optimized Surface Fittingp. 3
Special Applications in Surface Fittingp. 14
A Synthesis Process for Fair Free-Form Surfacesp. 32
Computing Minimal Surfaces with Particle Systemsp. 52
Orthogonality Relations for Cardinal B-Splines over Bounded Intervalsp. 59
Optimizing CNC Programs Using Spline Techniquesp. 70
New Approximation Methods for Planar Offset and Convolution Curvesp. 83
Detection and Computation of Degenerate Normal Vectors on Tensor Product Polynomial Surfacesp. 102
Surfaces Intersection for Solid Algebra: A Classification Algorithmp. 114
A Degree-of-Freedom Graph Approachp. 132
Multiple-View Feature Modelling and Conversionp. 159
A Knowledge Representation Perspective on Geometric Modelingp. 175
Projection Operation for Multidimensional Geometric Modeling with Real Functionsp. 197
Breps as Displayable-Selectable Models in Interactive Design of Families of Geometric Objectsp. 206
Synthesis of a Unified Approach to Shape Modelingp. 226
Virtual Topology Construction and Applicationsp. 247
Generalization of Modified Octrees for Geometric Modelingp. 260
Boundary Generation from Voxel-based Volume Representationsp. 273
Conversion of Binary Space Partitioning Trees to Boundary Representationp. 286
A Formal Approach to Multiresolution Hypersurface Modelingp. 302
Generation of Multiresolution Models from CAD-Data for Real Time Renderingp. 324
Piecewise Linear Approximation for Scientific Datap. 335
Provision of an Explicit Constraints Schema in the STEP Standardp. 345
MicroStation Modeler: The Design and Implementation of an Extensible Solid Modeling Systemp. 363
Contour Edge Analysis for Polyhedron Projectionsp. 379
Atlas: An Automatic Assembly Sequencing and Fixturing Systemp. 397
Geometrical and Physical Reasoning for Stable Assembly Sequence Planningp. 416
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540618836
ISBN-10: 354061883X
Series: World in Transition,
Audience: General
Format: Paperback
Language: English
Number Of Pages: 434
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 2.31
Weight (kg): 0.62