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  • Conference proceedings
  • © 2005

Advances in Multiresolution for Geometric Modelling

  • Provides any researcher in the field with an excellent starting point for their own work on multiresolution methods
  • The surveys provide a snapshot of the state of the art
  • Includes supplementary material: sn.pub/extras

Part of the book series: Mathematics and Visualization (MATHVISUAL)

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Table of contents (23 papers)

  1. Front Matter

    Pages I-XI
  2. Compression

    1. Recent Advances in Compression of 3D Meshes

      • Pierre Alliez, Craig Gotsman
      Pages 3-26
    2. Shape Compression using Spherical Geometry Images

      • Hugues Hoppe, Emil Praun
      Pages 27-46
  3. Data Structures

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

      • Leila De Floriani, Leif Kobbelt, Enrico Puppo
      Pages 49-74
    2. An Algorithm for Decomposing Multi-dimensional Non-manifold Objects into Nearly Manifold Components

      • M. Mostefa Mesmoudi, Leila De Floriani, Franco Morando, Enrico Puppo
      Pages 75-87
    3. Encoding Level-of-Detail Tetrahedral Meshes

      • Neta Sokolovsky, Emanuele Danovaro, Leila De Floriani, Paola Magillo
      Pages 89-100
    4. Multi-Scale Geographic Maps

      • Raquel Viaña, Paola Magillo, Enrico Puppo
      Pages 101-115
  4. Modelling

    1. Constrained Multiresolution Geometric Modelling

      • Stefanie Hahmann, Gershon Elber
      Pages 119-142
    2. Multi-scale and Adaptive CS-RBFs for Shape Reconstruction from Clouds of Points

      • Yutaka Ohtake, Alexander Belyaev, Hans-Peter Seidel
      Pages 143-154
  5. Parameterization

    1. Surface Parameterization: a Tutorial and Survey

      • Michael S. Floater, Kai Hormann
      Pages 157-186
    2. Variations on Angle Based Flattening

      • Rhaleb Zayer, Christian Rössl, Hans-Peter Seidel
      Pages 187-199
  6. Subdivision

    1. Recent Progress in Subdivision: a Survey

      • Malcolm Sabin
      Pages 203-230
    2. Simple Computation of the Eigencomponents of a Subdivision Matrix in the Fourier Domain

      • Loïc Barthe, Cédric Gérot, Malcolm Sabin, Leif Kobbelt
      Pages 245-257
    3. Subdivision as a Sequence of Sampled Cp Surfaces

      • Cédric Gérot, Loïc Barthe, Neil A. Dodgson, Malcolm Sabin
      Pages 259-270
    4. Reverse Subdivision

      • Mohamed F. Hassan, Neil A. Dodgson
      Pages 271-283
    5. \(\sqrt 5 \)-subdivision

      • Ioannis P. Ivrissimtzis, Neil A. Dodgson, Malcolm Sabin
      Pages 285-299
    6. Geometrically Controlled 4-Point Interpolatory Schemes

      • Martin Marinov, Nira Dyn, David Levin
      Pages 301-315
  7. Thinning

    1. Adaptive Thinning for Terrain Modelling and Image Compression

      • Laurent Demaret, Nira Dyn, Michael S. Floater, Armin Iske
      Pages 319-338
    2. Simplification of Topologically Complex Assemblies

      • Carlos Andújar, Marta Fairén, Pere Brunet, Víctor Cebollada
      Pages 339-352

About this book

Multiresolution methods in geometric modelling are concerned with the generation, representation, and manipulation of geometric objects at several levels of detail. Applications include fast visualization and rendering as well as coding, compression, and digital transmission of 3D geometric objects.

This book marks the culmination of the four-year EU-funded research project, Multiresolution in Geometric Modelling (MINGLE). The book contains seven survey papers, providing a detailed overview of recent advances in the various fields within  multiresolution modelling, and sixteen additional research papers. Each of the seven parts of the book starts with a survey paper, followed by the associated research papers in that area. All papers were originally presented at the MINGLE 2003 workshop held at Emmanuel College, Cambridge, UK, 9-11 September 2003.

Editors and Affiliations

  • Computer Laboratory, University of Cambridge, Cambridge, UK

    Neil A. Dodgson

  • Computer Science Department, Oslo University, Blindern, Oslo, Norway

    Michael S. Floater

  • Numerical Geometry Ltd., Cambridge, UK

    Malcolm A. Sabin

About the editors

Neil Dodgson took his BSc in Computer Science and Physics at Massey University in New Zealand (1988) and his PhD in image processing at the University of Cambridge (1992). He is a Senior Lecturer in the Computer Laboratory at the University of Cambridge and is co-leader of the Rainbow Research Group. He has over fifty refereed publications in the areas of modelling for 3D computer graphics, human-figure animation, 3D displays, and image processing.

 

Malcolm Sabin worked on representation of aircraft shapes at British Aircraft Corporation in the late 1960s, there developing one of the earliest modern surface systems. He has been active in CAD, CAM and CAE ever since, especially in the field of surface representations and in subdivision in particular.  He is employed by his own company, Numerical Geometry Ltd. which sells his time as a consultant, and maintains close contact with the Computer Laboratory and the Department of Applied Mathematics at the University of Cambridge.

 

 

 

Bibliographic Information

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access