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Geometric Modelling : Computing Supplementa - Gerald E. Farin

Geometric Modelling

Computing Supplementa

By: Gerald E. Farin (Editor), H. Hagen (Editor), Hartmut Noltemeier (Editor), W. Knodel (Editor)

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In this volume experts from university and industry are presenting new technologies for solving industrial problems as well as important and practicable impulses for new research. The following topics are treated: solid modelling; geometry processing; feature modelling; product modelling; surfaces over arbitrary topologies; blending methods; scattered data algorithms; smooting and fairing algorithms. NURBS21 articles are giving a state-of-the-art survey of the relevant problems and issues in the rapidly growing area of geometric modelling.

Constant-Radius Blending of Parametric Surfaces.- Functionality in Solids Obtained from Partial Differential Equations.- Featuremodelling with an Object-Oriented Approach.- Best Approximations of Parametric Curves by Splines.- A Modelling Scheme for the Approximate Representation of Closed Surfaces.- Cross Boundary Derivatives for Transfinite Triangular Patches.- Reconstruction of C1 Closed Surfaces with Branching.- High Order Continuous Polygonal Patches.- Variational Design of Smooth Rational Bezier Surfaces.- Curvature Approximation for Triangulated Surfaces.- Composition of Tensor Product Bezier Representations.- Interpolation with Exponential B-Splines in Tension.- A Characterization of an Affine Invariant Triangulation.- A Data Structure for Representing and Efficient Querying Large Scenes of Geometric Objects: MB* Trees.- Properties of Local Coordinates Based on Dirichlet Tesselations.- Automated Feature Recognition and its Role in Product Modelling.- Approximate Cr-Blending with Tensor Product Polynomials.- Shape Information in Industry Specific Product Data Model.- Free Form Deformation with Scattered Data Interpolation Methods.- C1-Smoothing of Multipatch Bezier Surfaces.- Geometric Continuity between Adjacent Rational Bezier Surface Patches.

ISBN: 9783211823996
ISBN-10: 3211823999
Series: Computing Supplementa
Audience: General
Format: Paperback
Language: English
Number Of Pages: 316
Publisher: SPRINGER VERLAG GMBH
Country of Publication: AT
Dimensions (cm): 23.39 x 15.6  x 1.75
Weight (kg): 0.46