© 2003

Visualization and Mathematics III

  • Hans-Christian Hege
  • Konrad Polthier
Conference proceedings

Part of the Mathematics and Visualization book series (MATHVISUAL)

Table of contents

  1. Front Matter
    Pages I-XII
  2. Geometry and Combinatorics of Meshes

    1. Front Matter
      Pages 1-1
    2. Philip L. Bowers, Monica K. Hurdal
      Pages 3-34
    3. Mark Meyer, Mathieu Desbrun, Peter Schröder, Alan H. Barr
      Pages 35-57
    4. Boris A. Springborn
      Pages 59-68
  3. Discrete Vector Fields and Topology

    1. Front Matter
      Pages 93-93
    2. Thomas Lewiner, Helio Lopes, Geovan Tavares
      Pages 95-112
    3. Thomas Wischgoll, Gerik Scheuermann
      Pages 151-160
  4. Geometric Modelling

    1. Front Matter
      Pages 161-161
    2. Stefanie Hahmann, Georges-Pierre Bonneau, Alex Yvart
      Pages 189-200
    3. Heinrich Müller, Markus Rips
      Pages 201-220
    4. Helmut Pottmann, Michael Hofer
      Pages 221-242
  5. Image Based Visualization

    1. Front Matter
      Pages 243-243
    2. Ulrich Clarenz, Udo Diewald, Martin Rumpf
      Pages 245-260
    3. Michel Leblond, François Rousselle, Christophe Renaud
      Pages 261-285

About these proceedings


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.


Discrete Geometry of Meshes Image Based Visualization Mathematical Visualization Software Environments Vector Fields and Flow Visualization computer graphics programming

Editors and affiliations

  • Hans-Christian Hege
    • 1
  • Konrad Polthier
    • 2
  1. 1.Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB)BerlinGermany
  2. 2.Institut für Mathematik, MA 8–3Technische Universität BerlinBerlinGermany

Bibliographic information