Skip to main content
SpringerLink
Log in

Visualization and Mathematics III

  • Conference proceedings
  • © 2003

Overview

Editors:
  1. Hans-Christian Hege

    1. Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB), Berlin, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Konrad Polthier

    1. Institut für Mathematik, MA 8–3, Technische Universität Berlin, Berlin, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • 3rd book arising from the series of successful Vis.
  • Math conferences in Berlin
  • Includes supplementary material: sn.pub/extras

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

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 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

Licence this eBook for your library

Institutional subscriptions

Table of contents (22 papers)

  1. Front Matter

    Pages I-XII
    Download chapter PDF

  2. Geometry and Combinatorics of Meshes

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. Planar Conformal Mappings of Piecewise Flat Surfaces

      • Philip L. Bowers, Monica K. Hurdal
      Pages 3-34

    3. Discrete Differential-Geometry Operators for Triangulated 2-Manifolds

      • Mark Meyer, Mathieu Desbrun, Peter Schröder, Alan H. Barr
      Pages 35-57

    4. Constructing Circle Patterns Using a New Functional

      • Boris A. Springborn
      Pages 59-68

    5. Constructing Hamiltonian Triangle Strips on Quadrilateral Meshes

      • Gabriel Taubin
      Pages 69-91

  3. Discrete Vector Fields and Topology

    1. Front Matter

      Pages 93-93
      Download chapter PDF

    2. Visualizing Forman’s Discrete Vector Field

      • Thomas Lewiner, Helio Lopes, Geovan Tavares
      Pages 95-112

    3. Identifying Vector Field Singularities Using a Discrete Hodge Decomposition

      • Konrad Polthier, Eike Preuß
      Pages 113-134

    4. Searching for Knotted Spheres in 4-dimensional Space

      • Dennis Roseman
      Pages 135-150

    5. 3D Loop Detection and Visualization in Vector Fields

      • Thomas Wischgoll, Gerik Scheuermann
      Pages 151-160

  4. Geometric Modelling

    1. Front Matter

      Pages 161-161
      Download chapter PDF

    2. Minkowski Geometric Algebra and the Stability of Characteristic Polynomials

      • Rida T. Farouki, Hwan Pyo Moon
      Pages 163-188

    3. Subdivision Invariant Polynomial Interpolation

      • Stefanie Hahmann, Georges-Pierre Bonneau, Alex Yvart
      Pages 189-200

    4. Another Metascheme of Subdivision Surfaces

      • Heinrich Müller, Markus Rips
      Pages 201-220

    5. Geometry of the Squared Distance Function to Curves and Surfaces

      • Helmut Pottmann, Michael Hofer
      Pages 221-242

  5. Image Based Visualization

    1. Front Matter

      Pages 243-243
      Download chapter PDF

    2. A Multiscale Fairing Method for Textured Surfaces

      • Ulrich Clarenz, Udo Diewald, Martin Rumpf
      Pages 245-260

    3. Generalized Block Iterative Methods

      • Michel Leblond, François Rousselle, Christophe Renaud
      Pages 261-285

    4. Fast Difference Schemes for Edge Enhancing Beltrami Flow and Subjective Surfaces

      • Ravi Malladi, Igor Ravve
      Pages 287-302
Back to top

Keywords

About this book

Mathematical Visualization aims at an abstract framework for fundamen­ tal objects appearing in visualization and at the application of the manifold visualization techniques to problems in geometry, topology and numerical mathematics. The articles in this volume report on new research results in this field, on the development of software and educational material and on mathematical applications. The book grew out of the third international workshop "Visualization and Mathematics", which was held from May 22-25, 2002 in Berlin (Germany). The workshop was funded by the DFG-Sonderforschungsbereich 288 "Dif­ ferential Geometry and Quantum Physics" at Technische Universitat Berlin and supported by the Zuse Institute Berlin (ZIB) and the DFG research cen­ ter "Mathematics for Key Technologies" (FZT 86) in Berlin. Five keynote lectures, eight invited presentations and several contributed talks created a stimulating atmosphere with many scientific discussions. The themes of this book cover important recent developments in the fol­ lowing fields: - Geometry and Combinatorics of Meshes - Discrete Vector Fields and Topology - Geometric Modelling - Image Based Visualization - Software Environments and Applications - Education and Communication We hope that the research articles of this book will stimulate the readers' own work and will further strenghten the development of the field of Mathe­ matical Visualization. VI Preface We appreciate the thorough work of the authors and reviewers on each of the individual articles, and we thank you all.

Editors and Affiliations

  • Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB), Berlin, Germany

    Hans-Christian Hege

  • Institut für Mathematik, MA 8–3, Technische Universität Berlin, Berlin, Germany

    Konrad Polthier

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation