Topology-Based Methods in Visualization II

1. Front Matter

   Pages i-viii

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2. Visualization of Coherent Structures in Transient 2D Flows

   • Christoph Garth, Guo-Shi Li, Xavier Tricoche, Charles D. Hansen, Hans Hagen

   Pages 1-13

3. Visualizing Lagrangian Coherent Structures and Comparison to Vector Field Topology

   • Filip Sadlo, Ronald Peikert

   Pages 15-29

4. Extraction of Separation Manifolds using Topological Structures in Flow Cross Sections

   • Alexander Wiebel, Xavier Tricoche, Gerik Scheuermann

   Pages 31-43

5. Topology Based Selection and Curation of Level Sets

   • Chandrajit Bajaj, Andrew Gillette, Samrat Goswami

   Pages 45-58

6. Representing Interpolant Topology for Contour Tree Computation

   • Hamish Carr, Jack Snoeyink

   Pages 59-73

7. Path Line Attributes - an Information Visualization Approach to Analyzing the Dynamic Behavior of 3D Time-Dependent Flow Fields

   • Kuangyu Shi, Holger Theisel, Helwig Hauser, Tino Weinkauf, Kresimir Matkovic, Hans-Christian Hege et al.

   Pages 75-88

8. Flow Structure based 3D Streamline Placement

   • Tobias Salzbrunn, Gerik Scheuermann

   Pages 89-100

9. Critical Points of the Electric Field from a Collection of Point Charges

   • Nelson Max, Tino Weinkauf

   Pages 101-114

10. Visualizing global manifolds during the transition to chaos in the Lorenz system

    • Bernd Krauskopf, Hinke M Osinga, Eusebius J Doedel

    Pages 115-126

11. Streamline and Vortex Line Analysis of the Vortex Breakdown in a Confined Cylinder Flow

    • Markus Rutten, Gert Böhme

    Pages 127-144

12. Flow Topology Beyond Skeletons: Visualization of Features in Recirculating Flow

    • Ronald Peikert, Filip Sadlo

    Pages 145-160

13. Bringing Topology-Based Flow Visualization to the Application Domain

    • Robert S. Laramee, Guoning Chen, Monika Jankun-Kelly, Eugene Zhang, David Thompson

    Pages 161-176

14. Computing Center-Lines: An Application of Vector Field Topology

    • Thomas Wischgoll

    Pages 177-190

Visualization research aims to provide insight into large, complicated data sets and the phenomena behind them. While there are di?erent methods of reaching this goal, topological methods stand out for their solid mathem- ical foundation, which guides the algorithmic analysis and its presentation. Topology-based methods in visualization have been around since the beg- ning of visualization as a scienti?c discipline, but they initially played only a minor role. In recent years,interest in topology-basedvisualization has grown andsigni?cantinnovationhasledto newconceptsandsuccessfulapplications. The latest trends adapt basic topological concepts to precisely express user interests in topological properties of the data. This book is the outcome of the second workshop on Topological Methods in Visualization, which was held March 4–6, 2007 in Kloster Nimbschen near Leipzig,Germany.Theworkshopbroughttogethermorethan40international researchers to present and discuss the state of the art and new trends in the ?eld of topology-based visualization. Two inspiring invited talks by George Haller, MIT, and Nelson Max, LLNL, were accompanied by 14 presentations by participants and two panel discussions on current and future trends in visualization research. This book contains thirteen research papers that have been peer-reviewed in a two-stage review process. In the ?rst phase, submitted papers where peer-reviewed by the international program committee. After the workshop accepted papers went through a revision and a second review process taking into account comments from the ?rst round and discussions at the workshop. Abouthalfthepapersconcerntopology-basedanalysisandvisualizationof ?uid?owsimulations;twopapersconcernmoregeneraltopologicalalgorithms, while theremaining papers discuss topology-based visualization methods in application areas like biology, medical imaging and electromagnetism.

• 3D
• Data Analysis
• Geometry
• behavior
• chaos
• information visualization
• topology
• visualization

• Konrad-Zuse-Zentrum für Informationstechnik Berlin Devision Scientific Computing, Department Visualization and Data Analysis, Berlin, Germany

  Hans-Christian Hege

• Institut für Mathematik, Freie Universität Berlin, Berlin, Germany

  Konrad Polthier

• Fakultät für Mathematik und Informatik Institut für Informatik, Universität Leipzig, Leipzig, Germany

  Gerik Scheuermann

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