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Tutorials on Multiresolution in Geometric Modelling

Summer School Lecture Notes

  • Textbook
  • © 2002

Overview

Editors:
  1. Armin Iske

    1. Zentrum Mathematik, Technische Universität München, München, Germany

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  2. Ewald Quak

    1. SINTEF Applied Mathematics, Oslo, Norway

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    You can also search for this editor in PubMed   Google Scholar

  3. Michael S. Floater

    1. SINTEF Applied Mathematics, Oslo, Norway

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    You can also search for this editor in PubMed   Google Scholar

  • Only textbook on multiresolution methods for geometric modelling
  • Central topic in visualisaion which is of great importance for industrial applications
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (13 chapters)

  1. Front Matter

    Pages I-XI
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  3. Wavelets

    1. Front Matter

      Pages 99-99
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    2. Nonuniform B-Splines and B-Wavelets

      • Ewald Quak
      Pages 101-146

    3. BLaC Wavelets and Non-Nested Wavelets

      • Georges-Pierre Bonneau
      Pages 147-163

    4. Multiresolution on the Sphere

      • Matthias Conrad, Jürgen Prestin
      Pages 165-202

  4. Scattered Data Modelling

    1. Front Matter

      Pages 203-203
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    2. Scattered Data Modelling Using Radial Basis Functions

      • Armin Iske
      Pages 205-242

    3. Scattered Data Fitting with Bivariate Splines

      • Frank Zeilfelder
      Pages 243-286

    4. Parameterization of Triangulations and Unorganized Points

      • Michael Floater, Kai Hormann
      Pages 287-316

  5. Coding and Data Structures

    1. Front Matter

      Pages 317-317
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    2. Simplification and Compression of 3D Meshes

      • Craig Gotsman, Stefan Gumhold, Leif Kobbelt
      Pages 319-361

    3. Multiresolution Mesh Representation: Models and Data Structures

      • Leila De Floriani, Paola Magillo
      Pages 363-417

  6. Back Matter

    Pages 419-421
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Keywords

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 is based on thirteen tutorials presented during the European Summer School "Principles of Multiresolution in Geometric Modelling", held at the Munich University of Technology, Germany, during August 22-30, 2001. The book covers: subdivision; wavelets; scattered data modelling; and coding and data structures.
The tutorials are designed to be introductory in character, and include supporting exercises. Other supplementary material and software can be downloaded from the Web Site www.ma.tum.de/primus 2001/.

Editors and Affiliations

  • Zentrum Mathematik, Technische Universität München, München, Germany

    Armin Iske

  • SINTEF Applied Mathematics, Oslo, Norway

    Ewald Quak, Michael S. Floater

Bibliographic Information

  • Book Title: Tutorials on Multiresolution in Geometric Modelling

  • Book Subtitle: Summer School Lecture Notes

  • Editors: Armin Iske, Ewald Quak, Michael S. Floater

  • Series Title: Mathematics and Visualization

  • DOI: https://doi.org/10.1007/978-3-662-04388-2

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2002

  • Hardcover ISBN: 978-3-540-43639-3Published: 12 June 2002

  • Softcover ISBN: 978-3-642-07819-4Published: 19 December 2010

  • eBook ISBN: 978-3-662-04388-2Published: 09 March 2013

  • Series ISSN: 1612-3786

  • Series E-ISSN: 2197-666X

  • Edition Number: 1

  • Number of Pages: XI, 421

  • Topics: Visualization, Computer Graphics, Numerical Analysis

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