Advances in Multiresolution for Geometric Modelling


ISBN: 978-3-540-21462-5 (Print) 978-3-540-26808-6 (Online)
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Table of contents (23 chapters)

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  1. Compression

    1. Book Chapter

      Pages 3-26

      Recent Advances in Compression of 3D Meshes

    2. Book Chapter

      Pages 27-46

      Shape Compression using Spherical Geometry Images

  2. Data Structures

    1. Book Chapter

      Pages 49-74

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

    2. Book Chapter

      Pages 75-87

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

    3. Book Chapter

      Pages 89-100

      Encoding Level-of-Detail Tetrahedral Meshes

    4. Book Chapter

      Pages 101-115

      Multi-Scale Geographic Maps

  3. Modelling

    1. Book Chapter

      Pages 119-142

      Constrained Multiresolution Geometric Modelling

    2. Book Chapter

      Pages 143-154

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

  4. Parameterization

    1. Book Chapter

      Pages 157-186

      Surface Parameterization: a Tutorial and Survey

    2. Book Chapter

      Pages 187-199

      Variations on Angle Based Flattening

  5. Subdivision

    1. Book Chapter

      Pages 203-230

      Recent Progress in Subdivision: a Survey

    2. Book Chapter

      Pages 231-244

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

    3. Book Chapter

      Pages 245-257

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

    4. Book Chapter

      Pages 259-270

      Subdivision as a Sequence of Sampled C p Surfaces

    5. Book Chapter

      Pages 271-283

      Reverse Subdivision

    6. Book Chapter

      Pages 285-299

      \(\sqrt 5 \) -subdivision

    7. Book Chapter

      Pages 301-315

      Geometrically Controlled 4-Point Interpolatory Schemes

  6. Thinning

    1. Book Chapter

      Pages 319-338

      Adaptive Thinning for Terrain Modelling and Image Compression

    2. Book Chapter

      Pages 339-352

      Simplification of Topologically Complex Assemblies

    3. Book Chapter

      Pages 353-366

      Topology Preserving Thinning of Vector Fields on Triangular Meshes

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