Topological methods in data analysis and visualization III theory, algorithms, and applications /
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 simplif...
| Other Authors: | Bremer, Peer-Timo,, Pascucci, Valerio,, Peikert, Ronald,, SpringerLink (Online service) |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Cham :
Springer,
2014.
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| Physical Description: |
1 online resource (x, 279 pages) : illustrations (some color). |
| Series: |
Mathematics and visualization.
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| Subjects: |
Table of Contents:
- Robust topological analysis: Robust detection of singularities in vector fields / H. Bhatia, A. Gyulassy, H. Wang, P.-T. Bremer and V. Pascucci. Interpreting feature tracking through the lens of robustness / P. Skraba and B. Wang. Simplification of Morse decompositions using Morse set mergers / L. Sipeki and A. Szymczak. Toward the extraction of saddle periodic orbits / J. Kasten, J. Reininghaus, W. Reich and G. Scheuermann
- Efficient computation of topology: Computational topology via functional programming : a baseline analysis / D. Duke and H. Carr. Distributed contour trees / D. Morozov and G.H. Weber. Clear and compress : computing persistent homology in chunks / M. Kerber, J. Reininghaus and U. Bauer. Parallel computation of nearly recurrent components of piecewise constant vector fields / N. Brunhart-Lupo and A. Szymczak
- Simplification, approximation and distance measures: Notes on the simplification of the Morse-Smale complex / D. Günther, J. Reininghaus, H.-P. Seidel and T. Weinkauf. Measuring the distance between merge trees / K. Beketayev, D. Yeliussizov, D. Morozov, G.H. Weber and B. Hamann. Topological integrity for dynamic spline models during visualization of big data / H.P. Cassidy, Th. J. Peters, H. Ilies and K.E. Jordan
- Time-dependent analysis: A comparison of finite-time and finite-size Lyapunov exponents / R. Peikert, A. Pobitzer, F. Sadlo and B. Schindler. Development of an efficient and flexible pipeline for Lagrangian coherent structure computation / S. Ameli, Y. Desai and S. Shadden. Topological features in time-dependent advection-diffusion flow / F. Sadlo, G. Karch and Th. Ertl
- Applications: Definition, extraction, and validation of pore structures in porous media / U. Homberg, D. Baum, A. Wiebel, S. Prohaska and Ch. Hege. Visualization of two-dimensional symmetric positive definite tensor fields using the heat kernel / V. Zobel, J. Reininghaus and I. Hotz. Topological features in glyph-based corotation visualization / S. Shafii, H. Obermaier, B. Hamann and K. Joy.