Advances in Multiresolution for Geometric Modelling

Editors:

ISBN: 978-3-540-21462-5 (Print) 978-3-540-26808-6 (Online)

Table of contents (23 chapters)

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  1. Compression

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      Pages 3-26

      Recent Advances in Compression of 3D Meshes

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      Pages 27-46

      Shape Compression using Spherical Geometry Images

  2. Data Structures

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      Pages 49-74

      A Survey on Data Structures for Level-of-Detail Models

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      Pages 75-87

      An Algorithm for Decomposing Multi-dimensional Non-manifold Objects into Nearly Manifold Components

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      Pages 89-100

      Encoding Level-of-Detail Tetrahedral Meshes

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      Pages 101-115

      Multi-Scale Geographic Maps

  3. Modelling

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      Pages 119-142

      Constrained Multiresolution Geometric Modelling

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      Pages 143-154

      Multi-scale and Adaptive CS-RBFs for Shape Reconstruction from Clouds of Points

  4. Parameterization

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      Pages 157-186

      Surface Parameterization: a Tutorial and Survey

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      Pages 187-199

      Variations on Angle Based Flattening

  5. Subdivision

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      Pages 203-230

      Recent Progress in Subdivision: a Survey

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      Pages 231-244

      Optimising 3D Triangulations: Improving the Initial Triangulation for the Butterfly Subdivision Scheme

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      Pages 245-257

      Simple Computation of the Eigencomponents of a Subdivision Matrix in the Fourier Domain

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      Pages 259-270

      Subdivision as a Sequence of Sampled C p Surfaces

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      Pages 271-283

      Reverse Subdivision

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      Pages 285-299

      \(\sqrt 5 \) -subdivision

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      Pages 301-315

      Geometrically Controlled 4-Point Interpolatory Schemes

  6. Thinning

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      Pages 319-338

      Adaptive Thinning for Terrain Modelling and Image Compression

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      Pages 339-352

      Simplification of Topologically Complex Assemblies

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      Book Chapter

      Pages 353-366

      Topology Preserving Thinning of Vector Fields on Triangular Meshes

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