Topological Methods in Data Analysis and Visualization III (eBook)

Part I Robust Topological Analysis: 1 Robust Detection of Singularities in Vector Fields: H. Bhatia, A. Gyulassy, H. Wang, P.-T. Bremer and V. Pascucci.- 2 Interpreting Feature Tracking Through the Lens of Robustness: P. Skraba and B. Wang.- 3 Simplification of Morse Decompositions using Morse Set Mergers: L. Sipeki and A. Szymczak.- 4 Toward the Extraction of Saddle Periodic Orbits: J. Kasten, J. Reininghaus, W. Reich and G. Scheuermann.- Part II Efficient Computation of Topology.- 5 Computational Topology via Functional Programming: A Baseline Analysis: D. Duke and H. Carr.- 6 Distributed Contour Trees: D. Morozov and G.H. Weber.- 7 Clear and Compress: Computing Persistent Homology in Chunks: M. Kerber, J. Reininghaus and U. Bauer.- 8 Parallel Computation of Nearly Recurrent Components of Piecewise Constant Vector Fields: N.  Brunhart‐Lupo and A. Szymczak.- Part III Simplification, Approximation and Distance Measures.- 9 Notes on the Simplification of the Morse-Smale Complex: D. Günther, J. Reininghaus, H.-P. Seidel and T. Weinkauf.- 10 Measuring The Distance Between Merge Trees: K. Beketayev, D. Yeliussizov, D. Morozov, G.H. Weber and B. Hamann.- 11 Topological Integrity for Dynamic Spline Models During Visualization of Big Data: H. P. Cassidy, Th. J. Peters, H. Ilies and K.E. Jordan.- Part IV Time-Dependent Analysis: 12 A Comparison of Finite-Time and Finite-Size Lyapunov Exponents: R. Peikert, A. Pobitzer, F. Sadlo and B. Schindler.- 13 Development of an efficient and flexible pipeline for Lagrangian coherent structure computation: S. Ameli, Y. Desai and S. Shadden.- 14 Topological Features in Time-Dependent Advection-Diffusion Flow: F. Sadlo, G. Karch and Th. Ertl.- Part V Applications: 15 Definition, Extraction, and Validation of Pore Structures in Porous Media: U. Homberg, D. Baum, A. Wiebel, S. Prohaska and H.- Ch. Hege.- 16 Visualization of Two-Dimensional Symmetric Positive Definite Tensor Fields Using the Heat Kernel: V. Zobel, J. Reininghaus and I. Hotz.- 17 Topological Features in Glyph-Based Corotation Visualization: S. Shafii, H. Obermaier, B. Hamann and K. Joy.