Skip to main content
SpringerLink
Log in
Book cover

Topological Methods in Data Analysis and Visualization

Theory, Algorithms, and Applications

  • Book
  • © 2011

Overview

Editors:
  1. Valerio Pascucci

    1. School of Computing, Scientific Computing and Imaging, University of Utah, Salt Lake City, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Xavier Tricoche

    1. Department of Computer Science, Purdue University, West Lafayette, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Hans Hagen

    1. FB Informatik, Universität Kaiserslautern, Kaiserslautern, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  4. Julien Tierny

    1. LTCI - Telecom ParisTech, CNRS, Paris Cedex 13, France

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Important contribution to the field High-quality current research Growing field
  • 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 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 (20 chapters)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Geometric Topology & Visualizing 1-Manifolds

    • Kirk E. Jordan, Lance E. Miller, Thomas J. Peters, Alexander C. Russell
    Pages 1-12

  3. Stripe Parameterization of Tubular Surfaces

    • Felix Kälberer, Matthias Nieser, Konrad Polthier
    Pages 13-26

  4. The Stability of the Apparent Contour of an Orientable 2-Manifold

    • Herbert Edelsbrunner, Dmitriy Morozov, Amit Patel
    Pages 27-41

  5. Reconstructing Cell Complexes From Cross-sections

    • Scott E. Dillard, Dan Thoma, Bernd Hamann
    Pages 43-54

  6. Substructure Topology Preserving Simplification of Tetrahedral Meshes

    • Fabien Vivodtzev, Georges-Pierre Bonneau, Stefanie Hahmann, Hans Hagen
    Pages 55-66

  7. Practical Considerations in Morse-Smale Complex Computation

    • Attila Gyulassy, Peer-Timo Bremer, Bernd Hamann, Valerio Pascucci
    Pages 67-78

  8. Modeling and Simplifying Morse Complexes in Arbitrary Dimensions

    • Lidija Čomić, Leila De Floriani
    Pages 79-90

  9. Simplification of Jacobi Sets

    • Suthambhara N, Vijay Natarajan
    Pages 91-102

  10. Combinatorial 2D Vector Field Topology Extraction and Simplification

    • Jan Reininghaus, Ingrid Hotz
    Pages 103-114

  11. On the Extraction of Long-living Features in Unsteady Fluid Flows

    • Jens Kasten, Ingrid Hotz, Bernd R. Noack, Hans-Christian Hege
    Pages 115-126

  12. Stream Volume Segmentation of Grid-Less Flow Simulation

    • Harald Obermaier, Jörg Kuhnert, Martin Hering-Bertram, Hans Hagen
    Pages 127-138

  13. Eigenvector-based Interpolation and Segmentation of 2D Tensor Fields

    • Jaya Sreevalsan-Nair, Cornelia Auer, Bernd Hamann, Ingrid Hotz
    Pages 139-150

  14. Time-Dependent Visualization of Lagrangian Coherent Structures by Grid Advection

    • Filip Sadlo, Alessandro Rigazzi, Ronald Peikert
    Pages 151-165

  15. Topological Extraction and Tracking of Defects in Crystal Structures

    • Sebastian Grottel, Carlos A. Dietrich, João L. D. Comba, Thomas Ertl
    Pages 167-178

  16. Extracting and Visualizing Structural Features in Environmental Point Cloud LiDaR Data Sets

    • Patric Keller, Oliver Kreylos, Marek Vanco, Martin Hering-Bertram, Eric S. Cowgill, Louise H. Kellogg et al.
    Pages 179-192

  17. Topological Flow Structures in a Mathematical Model for Rotation-Mediated Cell Aggregation

    • Alexander Wiebel, Raymond Chan, Christina Wolf, Andrea Robitzki, Angela Stevens, Gerik Scheuermann
    Pages 193-204

  18. A Categorical Approach to Contour, Split and Join Trees with Application to Airway Segmentation

    • Andrzej Szymczak
    Pages 205-216

  19. Complementary Space for Enhanced Uncertainty and Dynamics Visualization

    • Chandrajit Bajaj, Andrew Gillette, Samrat Goswami, Bong June Kwon, Jose Rivera
    Pages 217-228

  20. Topological Feature Extraction for Comparison of Terascale Combustion Simulation Data

    • Ajith Mascarenhas, Ray W. Grout, Peer-Timo Bremer, Evatt R. Hawkes, Valerio Pascucci, Jacqueline H. Chen
    Pages 229-240
Back to top

Keywords

About this book

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 of large and complex datasets, the characterization of noise and uncertainty, the effective integration of numerical methods with robust combinatorial algorithms, etc. . 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. This book contains the best 20 peer-reviewed papers resulting from the discussions and presentations at the third workshop on "Topological Methods in Data Analysis and Visualization", held 2009 in Snowbird, Utah, US. The 2009 "TopoInVis" workshop follows the two successful workshops in 2005 (Slovakia) and 2007 (Germany).

Editors and Affiliations

  • School of Computing, Scientific Computing and Imaging, University of Utah, Salt Lake City, USA

    Valerio Pascucci

  • Department of Computer Science, Purdue University, West Lafayette, USA

    Xavier Tricoche

  • FB Informatik, Universität Kaiserslautern, Kaiserslautern, Germany

    Hans Hagen

  • LTCI - Telecom ParisTech, CNRS, Paris Cedex 13, France

    Julien Tierny

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation