Ebook: Geometric Modelling

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 - NURBS 21 articles are giving a state-of-the-art survey of the relevant problems and issues in the rapidly growing area of geometric modelling.

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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 - NURBS 21 articles are giving a state-of-the-art survey of the relevant problems and issues in the rapidly growing area of geometric modelling.

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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 - NURBS 21 articles are giving a state-of-the-art survey of the relevant problems and issues in the rapidly growing area of geometric modelling.
Content:
Front Matter....Pages i-vii
Constant-Radius Blending of Parametric Surfaces....Pages 1-20
Functionality in Solids Obtained from Partial Differential Equations....Pages 21-42
Featuremodelling with an Object-Oriented Approach....Pages 43-57
Best Approximations of Parametric Curves by Splines....Pages 59-73
A Modelling Scheme for the Approximate Representation of Closed Surfaces....Pages 75-90
Cross Boundary Derivatives for Transfinite Triangular Patches....Pages 91-100
High Order Continuous Polygonal Patches....Pages 101-115
Variational Design of Smooth Rational Bezier-Surfaces....Pages 117-132
Curvature Approximation for Triangulated Surfaces....Pages 133-138
Composition of Tensor Product B?zier Representations....Pages 139-153
Interpolation with Exponential B-Splines in Tension....Pages 155-172
A Characterization of an Affine Invariant Triangulation....Pages 173-190
A Data Structure for Representing and Efficient Querying Large Scenes of Geometric Objects: MB* Trees....Pages 191-210
Properties of Local Coordinates Based on Dirichlet Tessellations....Pages 211-226
Automated Feature Recognition and its Role in Product Modelling....Pages 227-239
Shape Information in Industry Specific Product Data Model....Pages 241-250
Free Form Deformation with Scattered Data Interpolation Methods....Pages 251-258
Geometric Continuity Between Adjacent Rational B?zier Surface Patches....Pages 259-266
....Pages 267-281