Geometric Modeling: Theory and Practice

The State of the Art

Häftad, Engelska, 1997

Av Wolfgang Straßer, Reinhard Klein, Rene Rau

709 kr

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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.

Produktinformation

Utgivningsdatum1997-10-01
Mått155 x 235 x 25 mm
Vikt674 g
FormatHäftad
SpråkEngelska
SerieFocus on Computer Graphics
Antal sidor434
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783540618836

I Mathematical Tools.- Variational Design with Boundary Conditions and Parameter Optimized Surface Fitting.- Special Applications in Surface Fitting.- A Synthesis Process for Fair Free-Form Surfaces.- Computing Minimal Surfaces with Particle Systems.- Orthogonality Relations for Cardinal B-Splines over Bounded Intervals.- Optimizing CNC Programs Using Spline Techniques.- New Approximation Methods for Planar Offset and Convolution Curves.- Detection and Computation of Degenerate Normal Vectors on Tensor Product Polynomial Surfaces.- Surfaces Intersection for Solid Algebra: A Classification Algorithm.- A Degree-of-Freedom Graph Approach.- II Representations.- Multiple-View Feature Modelling and Conversion.- A Knowledge Representation Perspective on Geometric Modeling.- Projection Operation for Multidimensional Geometric Modeling with Real Functions.- Breps as Displayable-Selectable Models in Interactive Design of Families of Geometric Objects.- Synthesis of a Unified Approach to Shape Modeling.- Virtual Topology Construction and Applications.- Generalization of Modified Octrees for Geometric Modeling.- Boundary Generation from Voxel-based Volume Representations.- Conversion of Binary Space Partitioning Trees to Boundary Representation.- A Formal Approach to Multiresolution Hypersurface Modeling.- Generation of Multiresolution Models from CAD-Data for Real Time Rendering.- Piecewise Linear Approximation for Scientific Data.- III Systems.- Provision of an Explicit Constraints Schema in the STEP Standard.- MicroStation Modeler: The Design and Implementation of an Extensible Solid Modeling System.- Contour Edge Analysis for Polyhedron Projections.- IV Automated Assembly.- Atlas: An Automatic Assembly Sequencing and Fixturing System.- Geometrical and Physical Reasoning for Stable Assembly Sequence Planning.