Topological Methods in Data Analysis and Visualization

Theory, Algorithms, and Applications

  • Valerio Pascucci
  • Xavier Tricoche
  • Hans Hagen
  • Julien Tierny

Part of the Mathematics and Visualization book series (MATHVISUAL)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Kirk E. Jordan, Lance E. Miller, Thomas J. Peters, Alexander C. Russell
    Pages 1-12
  3. Felix Kälberer, Matthias Nieser, Konrad Polthier
    Pages 13-26
  4. Herbert Edelsbrunner, Dmitriy Morozov, Amit Patel
    Pages 27-41
  5. Scott E. Dillard, Dan Thoma, Bernd Hamann
    Pages 43-54
  6. Fabien Vivodtzev, Georges-Pierre Bonneau, Stefanie Hahmann, Hans Hagen
    Pages 55-66
  7. Attila Gyulassy, Peer-Timo Bremer, Bernd Hamann, Valerio Pascucci
    Pages 67-78
  8. Lidija Čomić, Leila De Floriani
    Pages 79-90
  9. Suthambhara N, Vijay Natarajan
    Pages 91-102
  10. Jens Kasten, Ingrid Hotz, Bernd R. Noack, Hans-Christian Hege
    Pages 115-126
  11. Harald Obermaier, Jörg Kuhnert, Martin Hering-Bertram, Hans Hagen
    Pages 127-138
  12. Jaya Sreevalsan-Nair, Cornelia Auer, Bernd Hamann, Ingrid Hotz
    Pages 139-150
  13. Filip Sadlo, Alessandro Rigazzi, Ronald Peikert
    Pages 151-165
  14. Sebastian Grottel, Carlos A. Dietrich, João L. D. Comba, Thomas Ertl
    Pages 167-178
  15. Patric Keller, Oliver Kreylos, Marek Vanco, Martin Hering-Bertram, Eric S. Cowgill, Louise H. Kellogg et al.
    Pages 179-192
  16. Alexander Wiebel, Raymond Chan, Christina Wolf, Andrea Robitzki, Angela Stevens, Gerik Scheuermann
    Pages 193-204
  17. Chandrajit Bajaj, Andrew Gillette, Samrat Goswami, Bong June Kwon, Jose Rivera
    Pages 217-228
  18. Ajith Mascarenhas, Ray W. Grout, Peer-Timo Bremer, Evatt R. Hawkes, Valerio Pascucci, Jacqueline H. Chen
    Pages 229-240

About this book

Introduction

Topology-based methods are of increasing importance in the analysis and visualization of datasets from a wide variety of scientific domains such as biology, physics, engineering, and medicine. Current challenges of topology-based techniques include the management of time-dependent data, the representation large and complex datasets, the characterization of noise and uncertainty, the effective integration of numerical methods with robust combinatorial algorithms, etc. While there is an increasing number of high-quality publications in this field, many fundamental questions remain unsolved. New focused efforts are needed in a variety of techniques ranging from the theoretical foundations of topological models, algorithmic issues related to the representation power of computer-based implementations as well as their computational efficiency, user interfaces for presentation of quantitative topological information, and the development of new techniques for systematic mapping of science problems in topological constructs that can be solved computationally. The editors have brought together the most prominent and best recognized researchers in the field of topology-based data analysis and visualization for a joint discussion and scientific exchange of the latest results in the field. The 2009 "TopoInVis" workshop in Snowbird, Utah, follows the two successful workshops in 2005 (Budmerice, Slovakia) and 2007 (Leipzig, Germany).

Keywords

Data Analysis Geometry Topology Visualization

Editors and affiliations

  • Valerio Pascucci
    • 1
  • Xavier Tricoche
    • 2
  • Hans Hagen
    • 3
  • Julien Tierny
    • 4
  1. 1.School of Computing, Scientific Computing and ImagingUniversity of UtahSalt Lake CityUSA
  2. 2.Department of Computer SciencePurdue UniversityWest LafayetteUSA
  3. 3.FB InformatikUniversität KaiserslauternKaiserslauternGermany
  4. 4.LTCI - Telecom ParisTechCNRSParis Cedex 13France

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-15014-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 2011
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-15013-5
  • Online ISBN 978-3-642-15014-2
  • Series Print ISSN 1612-3786
  • About this book