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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Bremer, Peer-Timo (Editor ), Hotz, Ingrid (Editor ), Pascucci, Valerio (Editor ), Peikert, Ronald (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:Mathematics and Visualization,
Temas:
Information visualization.
Mathematical analysis.
Topology.
Geometry.
Computer vision.
Pattern recognition systems.
Data and Information Visualization.
Analysis.
Computer Vision.
Automated Pattern Recognition.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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