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E-raamat: Topological Methods in Data Analysis and Visualization III: Theory, Algorithms, and Applications

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  • Formaat: PDF+DRM
  • Sari: Mathematics and Visualization
  • Ilmumisaeg: 22-Apr-2014
  • Kirjastus: Springer International Publishing AG
  • Keel: eng
  • ISBN-13: 9783319040998
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  • Formaat: PDF+DRM
  • Sari: Mathematics and Visualization
  • Ilmumisaeg: 22-Apr-2014
  • Kirjastus: Springer International Publishing AG
  • Keel: eng
  • ISBN-13: 9783319040998

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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 simplification techniques, and key applications in materials and medical science. The volume also features material on core research challenges such as the representation of large and complex datasets and integrating numerical methods with robust combinatorial algorithms.









Reflecting the focus of the TopoInVis 2013 conference, the contributions evince the progress currently being made on finding experimental solutions to open problems in the sector. They provide an inclusive snapshot of state-of-the-art research that enables researchers to keep abreast of the latest developments and provides a foundation for future progress. With papers by some of the worlds leading experts in topological techniques, this volume is a major contribution to the literature in a field of growing importance with applications in disciplines that range from engineering to medicine.
Part I Robust Topological Analysis
Robust Detection of Singularities in Vector Fields
3(16)
Harsh Bhatia
Attila Gyulassy
Hao Wang
Peer-Timo Bremer
Valerio Pascucci
Interpreting Feature Tracking Through the Lens of Robustness
19(20)
Primoz Skraba
Bei Wang
Simplification of Morse Decompositions Using Morse Set Mergers
39(16)
Levente Sipeki
Andrzej Szymczak
Toward the Extraction of Saddle Periodic Orbits
55(18)
Jens Kasten
Jan Reininghaus
Wieland Reich
Gerik Scheuermann
Part II Efficient Computation of Topology
Computational Topology via Functional Programming: A Baseline Analysis
73(16)
David Duke
Hamish Carr
Distributed Contour Trees
89(14)
Dmitriy Morozov
Gunther H. Weber
Clear and Compress: Computing Persistent Homology in Chunks
103(16)
Ulrich Bauer
Michael Kerber
Jan Reininghaus
Parallel Computation of Nearly Recurrent Components of Piecewise Constant Vector Fields
119(16)
Nicholas Brunhart-Lupo
Andrzej Szymczak
Part III Simplification, Approximation, and Distance Measures
Notes on the Simplification of the Morse-Smale Complex
135(16)
David Gunther
Jan Reininghaus
Hans-Peter Seidel
Tino Weinkauf
Measuring the Distance Between Merge Trees
151(16)
Kenes Beketayev
Damir Yeliussizov
Dmitriy Morozov
Gunther H. Weber
Bernd Hamann
Topological Integrity for Dynamic Spline Models During Visualization of Big Data
167(20)
Hugh P. Cassidy
Thomas J. Peters
Horea Ilies
Kirk E. Jordan
Part IV Time-Dependent Analysis
A Comparison of Finite-Time and Finite-Size Lyapunov Exponents
187(14)
Ronald Peikert
Armin Pobitzer
Filip Sadlo
Benjamin Schindler
Development of an Efficient and Flexible Pipeline for Lagrangian Coherent Structure Computation
201(16)
Siavash Ameli
Yogin Desai
Shawn C. Shadden
Topological Features in Time-Dependent Advection-Diffusion Flow
217(18)
Filip Sadlo
Grzegorz K. Karch
Thomas Ertl
Part V Applications
Definition, Extraction, and Validation of Pore Structures in Porous Materials
235(14)
Ulrike Homberg
Daniel Baum
Alexander Wiebel
Steffen Prohaska
Hans-Christian Hege
Visualization of Two-Dimensional Symmetric Positive Definite Tensor Fields Using the Heat Kernel Signature
249(14)
Valentin Zobel
Jan Reininghaus
Ingrid Hotz
Topological Features in Glyph-Based Corotation Visualization
263(14)
Sohail Shafii
Harald Obermaier
Bernd Hamann
Kenneth I. Joy
Index 277