Skip to main content
SpringerLink
Log in
Book cover

Mathematical Visualization

Algorithms, Applications and Numerics

  • Book
  • © 1998

Overview

Editors:
  1. Hans-Christian Hege

    1. Wissenschaftliche Visualisierung, Konrad-Zuse-Zentrum für Informationstechnik Berlin, Berlin, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Konrad Polthier

    1. Fachbereich 3, Mathematik, Technische Universität Berlin, Berlin, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Book on second International Workshop on Visualization and Mathematics; as volume on first workshop rather interdisciplinary
  • Extensively illustrated with high-quality colour graphics
  • Book presents most recent visualization methods by the world's top experts, becoming more and more important in many branches of pure and applied mathematics

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
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

Licence this eBook for your library

Institutional subscriptions

Table of contents (26 chapters)

  1. Front Matter

    Pages I-XX
    Download chapter PDF

  2. Meshes, Multilevel Approximation, and Visualization

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. Tetrahedra Based Volume Visualization

      • Paolo Cignoni, Claudio Montani, Roberto Scopigno
      Pages 3-18

    3. Mesh Optimization and Multilevel Finite Element Approximations

      • Roberto Grosso, Thomas Ertl
      Pages 19-30

    4. Efficient Visualization of Data on Sparse Grids

      • Norbert Heußer, Martin Rumpf
      Pages 31-44

    5. A Meta Scheme for Iterative Refinement of Meshes

      • Markus Kohler
      Pages 45-59

    6. A Scheme for Edge-based Adaptive Tetrahedron Subdivision

      • Detlef Ruprecht, Heinrich Müller
      Pages 61-70

  3. Geometry and Numerics

    1. Front Matter

      Pages 71-71
      Download chapter PDF

    2. Finite Element Approximations and the Dirichlet Problem for Surfaces of Prescribed Mean Curvature

      • Gerhard Dziuk, John E. Hutchinson
      Pages 73-87

    3. Efficient Volume-Generation During the Simulation of NC-Milling

      • Georg Glaeser, Eduard Gröller
      Pages 89-106

    4. Constant Mean Curvature Surfaces with Cylindrical Ends

      • Karsten Große-Brauckmann, Robert B. Kusner, John M. Sullivan
      Pages 107-116

    5. Discrete Rotational CMC Surfaces and the Elliptic Billiard

      • Tim Hoffmann
      Pages 117-124

    6. Zonotope Dynamics in Numerical Quality Control

      • Wolfgang Kühn
      Pages 125-134

    7. Straightest Geodesics on Polyhedral Surfaces

      • Konrad Polthier, Markus Schmies
      Pages 135-150

  4. Graphics Algorithms and Implementations

    1. Front Matter

      Pages 151-151
      Download chapter PDF

    2. Support of Explicit Time and Event Flows in the Object-Oriented Visualization Toolkit MAM/VRS

      • Jürgen Döllner, Klaus Hinrichs
      Pages 153-166

    3. A Survey of Parallel Coordinates

      • Alfred Inselberg
      Pages 167-179

    4. Hierarchical Techniques for Global Illumination Computations — Recent Trends and Developments

      • Philipp Slusallek, Marc Stamminger, Hans-Peter Seidel
      Pages 181-194

    5. Two-Dimensional Image Rotation

      • Ivan Sterling, Thomas Sterling
      Pages 195-206

    6. An Object-Oriented Interactive System for Scientific Simulations: Design and Applications

      • A. C. Telea, C. W. A. M. van Overveld
      Pages 207-220
Back to top

Keywords

About this book

Mathematical Visualization is a young new discipline. It offers efficient visualization tools to the classical subjects of mathematics, and applies mathematical techniques to problems in computer graphics and scientific visualization. Originally, it started in the interdisciplinary area of differential geometry, numerical mathematics, and computer graphics. In recent years, the methods developed have found important applications.
The current volume is the quintessence of an international workshop in September 1997 in Berlin, focusing on recent developments in this emerging area. Experts present selected research work on new algorithms for visualization problems, describe the application and experiments in geometry, and develop new numerical or computer graphical techniques.

Editors and Affiliations

  • Wissenschaftliche Visualisierung, Konrad-Zuse-Zentrum für Informationstechnik Berlin, Berlin, Germany

    Hans-Christian Hege

  • Fachbereich 3, Mathematik, Technische Universität Berlin, Berlin, Germany

    Konrad Polthier

Bibliographic Information

  • Book Title: Mathematical Visualization

  • Book Subtitle: Algorithms, Applications and Numerics

  • Editors: Hans-Christian Hege, Konrad Polthier

  • DOI: https://doi.org/10.1007/978-3-662-03567-2

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1998

  • Hardcover ISBN: 978-3-540-63991-6Published: 20 October 1998

  • Softcover ISBN: 978-3-642-08373-0Published: 09 December 2010

  • eBook ISBN: 978-3-662-03567-2Published: 09 March 2013

  • Edition Number: 1

  • Number of Pages: XX, 393

  • Number of Illustrations: 147 b/w illustrations, 45 illustrations in colour

  • Topics: Differential Geometry, Visualization, Numerical Analysis, Computer Graphics, Global Analysis and Analysis on Manifolds, Topology

Publish with us

Policies and ethics

Back to top

Search

Navigation