© 2014

Topological Methods in Data Analysis and Visualization III

Theory, Algorithms, and Applications

  • Peer-Timo Bremer
  • Ingrid Hotz
  • Valerio Pascucci
  • Ronald Peikert
Conference proceedings

Part of the Mathematics and Visualization book series (MATHVISUAL)

Table of contents

  1. Front Matter
    Pages i-x
  2. Robust Topological Analysis

    1. Front Matter
      Pages 1-1
    2. Harsh Bhatia, Attila Gyulassy, Hao Wang, Peer-Timo Bremer, Valerio Pascucci
      Pages 3-18
    3. Levente Sipeki, Andrzej Szymczak
      Pages 39-53
    4. Jens Kasten, Jan Reininghaus, Wieland Reich, Gerik Scheuermann
      Pages 55-69
  3. Efficient Computation of Topology

    1. Front Matter
      Pages 71-71
    2. Dmitriy Morozov, Gunther H. Weber
      Pages 89-102
    3. Ulrich Bauer, Michael Kerber, Jan Reininghaus
      Pages 103-117
  4. Simplification, Approximation, and Distance Measures

    1. Front Matter
      Pages 133-133
    2. David Günther, Jan Reininghaus, Hans-Peter Seidel, Tino Weinkauf
      Pages 135-150
    3. Kenes Beketayev, Damir Yeliussizov, Dmitriy Morozov, Gunther H. Weber, Bernd Hamann
      Pages 151-165
    4. Hugh P. Cassidy, Thomas J. Peters, Horea Ilies, Kirk E. Jordan
      Pages 167-183
  5. Time-Dependent Analysis

    1. Front Matter
      Pages 185-185
    2. Ronald Peikert, Armin Pobitzer, Filip Sadlo, Benjamin Schindler
      Pages 187-200
    3. Filip Sadlo, Grzegorz K. Karch, Thomas Ertl
      Pages 217-231
  6. Applications

    1. Front Matter
      Pages 233-233

About these proceedings


This collection of peer-reviewed conference papers provides comprehensive coverage of cutting-edge research in topological approaches to data analysis and visualization. It encompasses the full range of new algorithms and insights, including fast homology computation, comparative analysis of simplification techniques, and key applications in materials and medical science. The volume also features material on core research challenges such as the representation of large and complex datasets and integrating numerical methods with robust combinatorial algorithms.

Reflecting the focus of the TopoInVis 2013 conference, the contributions evince the progress currently being made on finding experimental solutions to open problems in the sector. They provide an inclusive snapshot of state-of-the-art research that enables researchers to keep abreast of the latest developments and provides a foundation for future progress. With papers by some of the world’s leading experts in topological techniques, this volume is a major contribution to the literature in a field of growing importance with applications in disciplines that range from engineering to medicine.


Morse theory data analysis featire extraction topology vector fields visualization

Editors and affiliations

  • Peer-Timo Bremer
    • 1
  • Ingrid Hotz
    • 2
  • Valerio Pascucci
    • 3
  • Ronald Peikert
    • 4
  1. 1.Center for Applied Scientific ComputingLawrence Livermore National LaboratoryLivermoreUSA
  2. 2.Comparative Visualization GroupKonrad-Zuse-Zentrum für InformationstechnikBerlinGermany
  3. 3.School of Computing and SCI InstituteUniversity of UtahSalt Lake CityUSA
  4. 4.Department of Computer ScienceETH ZürichZürichSwitzerland

Bibliographic information