Topological Methods in Data Analysis and Visualization III Theory, Algorithms, and Applications /

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Bremer, Peer-Timo (Επιμελητής έκδοσης), Hotz, Ingrid (Επιμελητής έκδοσης), Pascucci, Valerio (Επιμελητής έκδοσης), Peikert, Ronald (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Σειρά: Mathematics and Visualization,
• Θέματα: Mathematics.; Image processing.; Pattern recognition.; Mathematical analysis.; Analysis (Mathematics).; Visualization.; Geometry.; Topology.; Analysis.; Image Processing and Computer Vision.; Pattern Recognition.

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...

Πίνακας περιεχομένων:

• 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.