Topological Methods in Data Analysis and Visualization IV

Part I. Topology-Based Analysis of Multi-Variate Data Sets

1. Theory of Singular Fibers and Reeb Spaces for Visualization
Osamu Saeki

2. Topology-Based Analysis for Multimodal Atmospheric Data of Volcano Eruptions
Alexander Kuhn, Wito Engelke, Markus Flatken, Hans-Christian Hege, Ingrid Hotz

3. A Comparison of Joint Contour Nets and Pareto Sets
Lars Huettenberger, Christian Heine, Christoph Garth

Part II. Topological Techniques for High-Dimensional Data

4. Visualizing Topological Properties of the Search Landscape of Combinatorial Optimization Problems
Sebastian Volke, Dirk Zeckzer, Martin Middendorf, Gerik Scheuermann

5. Computing and Visualizing Time-Varying Merge Trees for High-Dimensional Data
Patrick Oesterling, Christian Heine, Gunther H. Weber, Dmitriy Morozov, Gerik Scheuermann

6. Agreement Analysis of Quality Measures for Dimensionality Reduction
Bastian Rieck, Heike Leitte

Part III. Scalar Field Topology

7. Fast Similarity Search in Scalar Fields using Merging Histograms
Himangshu Saikia, Hans-Peter Seidel, Tino Weinkauf

8. Morse-Smale Analysis of Ion Diffusion in Ab Initio Battery Materials Simulations
Attila Gyulassy, Aaron Knoll, Kah Chun Lau, Bei Wang, Peer-Timo Bremer, Michael E. Papka, Larry A. Curtiss, Valerio Pascucci

9. Piecewise Polynomial Reconstruction of Scalar Fields from Simplified Morse-Smale Complexes
Léo Allemand-Giorgis, Georges-Pierre Bonneau, Stefanie Hahmann

Part IV. Vector and Tensor Field Topology

10. Topological Extraction of Escape Maps in Divergence-Free Vector Fields
Ronald Peikert, Gustavo Machado, Filip Sadlo

11. Compute and Visualize Discontinuity Among Neighboring Integral Curves of 2D Vector Fields
Lei Zhang, Robert S. Laramee, David Thompson, Adrian Sescu, Guoning Chen

12. Decomposition of Vector Fields Beyond Problems of First Order and Their Applications
Wieland Reich, Mario Hlawitschka, Gerik Scheuermann

13. Maximum Number of Degenerate Curves in 3D Linear Tensor Fields
Yue Zhang, Yu-Jong Tzeng, Eugene Zhang

Part V. Coherent Structures

14. Hierarchical Watershed Ridges for Visualizing Lagrangian Coherent Structures
Mingcheng Chen, John C. Hart, Shawn C. Shadden

15. Finite Time Steady 2D Vector Field Topology
Anke Friederici, Christian Rössl, Holger Theisel

16. Comparing Finite-Time Lyapunov Exponents in Approximated Vector Fields
Stefan Koch, Sebastian Volke, Gerik Scheuermann, Hans Hagen, Mario Hlawitschka

17. Transfer Operator-Based Extraction of Coherent Features on Surfaces
Kathrin Padberg-Gehle, Sebastian Reuther, Simon Praetorius, Axel Voigt

Part VI. Software and Algorithms

18. ADAPT: Adaptive Thresholds for Feature Extraction
Peer-Timo Bremer

19. Efficient Software for Programmable Visual Analysis Using Morse-Smale Complexes
Nithin Shivashankar, Vijay Natarajan

20. Notes on the Distributed Computation of Merge Trees on CW-Complexes
Aaditya G. Landge, Peer-Timo Bremer, Attila Gyulassy, Valerio Pascucci

21. Computing Invariants of Knotted Graphs Given by Sequences of Points in 3-Dimensional Space
Vitaliy Kurlin

Avainsanat: Mathematics, Visualization, Manifolds and Cell Complexes (incl. Diff.Topology), Computing Methodologies, Computer Graphics