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

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Carr, Hamish (Επιμελητής έκδοσης), Garth, Christoph (Επιμελητής έκδοσης), Weinkauf, Tino (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Σειρά: Mathematics and Visualization,
• Θέματα: Mathematics.; Computers.; Computer graphics.; Visualization.; Manifolds (Mathematics).; Complex manifolds.; Manifolds and Cell Complexes (incl. Diff.Topology).; Computing Methodologies.; Computer Graphics.

This book presents contributions on topics ranging from novel applications of topological analysis for particular problems, through studies of the effectiveness of modern topological methods, algorithmic improvements on existing methods, and parallel computation of topological structures, all the wa...

Πίνακας περιεχομένων:

• Part 1: Topology-Based Analysis of Multi-Variate Data Sets: Theory of Singular Fibers and Reeb Spaces for Visualization: O. Saeki
• Topology-Based Analysis for Multimodal Atmospheric Data of Volcano Eruptions: A. Kuhn, W. Engelke, M. Flatken, F. Chen, H.-C. Hege, I. Hotz
• A Comparison of Joint Contour Nets and Pareto Sets: L. Huettenberger, C. Heine, C. Garth
• Part 2: Topological Techniques for High-Dimensional Data: Visualizing Topological Properties of the Search Landscape of Combinatorial Optimization Problems: S. Volke, D. Zeckzer, M. Middendorf, G. Scheuermann
• Computing and Visualizing Time-Varying Merge Trees for High-Dimensional Data: P. Oesterling, C. Heine, G. H. Weber, D. Morozov, G. Scheuermann
• Agreement analysis of quality measures for dimensionality reduction: B. Rieck, H. Leitte
• Part 3: Scalar Field Topology: Fast Similarity Search in Scalar Fields Using Merging Histograms: H. Saikia, H.-P. Seidel, T. Weinkauf
• Morse-Smale Analysis of Ion Diffusion in Ab Initio Battery Materials Simulations: A. Gyulassy, A. Knoll, P.-T. Bremer, B. Wang, K. Chun Lau, M. E. Papka, V. Pascucci, L. Curtiss
• Piecewise Polynomial Reconstruction of Scalar Fields from Simplified Morse-Smale Complexes: L. Allemand-Giorgis, G.-P. Bonneau, S. Hahmann
• Part 4: Vector & Tensor Field Topology: Topological Extraction of Escape Maps in Divergence-Free Vector Fields: R. Peikert, G. Machado, F. Sadlo
• Compute and Visualize Discontinuity Among Neighboring Integral Curves of 2D Vector Fields: L. Zhang, R. Laramee, D. Thompson, A. Sescu, G. Chen
• Decomposition of Vector Fields Beyond Problems of First Order and Their Applications: W. Reich, M. Hlawitschka, G. Scheuermann
• Maximum Number of Degenerate Curves in 3D Linear Tensor Fields: Y. Zhang, Y.-J. Tzeng, E. Zhang
• Part 5: Coherent Structures: Hierarchical Watershed Ridges for Visualizing Lagrangian Coherent Structures: M. Chen, J. C. Hart, S. C. Shadden
• Finite Time Steady 2D Vector Field Topology: A. Friederici, C. Rössl, H. Theisel
• Comparing Finite-Time Lyapunov Exponents in Approximated Vector Fields: S. Koch, S. Volke, G. Scheuermann, H. Hagen, M. Hlawitschka
• Transfer Operator-Based Extraction of Coherent Features on Surfaces: K. Padberg-Gehle, S. Reuther, S. Praetorius, A. Voigt
• Part 6: Software and Algorithms: ADAPT – Adaptive Thresholds for Feature Extraction: P.-T. Bremer
• Efficient Software for Programmable Visual Analysis Using Morse-Smale Complexes: N. Shivashankar, V. Natarajan
• Notes on the Distributed Computation of Merge Trees on CW-Complexes: A. Landge, P.-T. Bremer, A. Gyulassy, V. Pascucci
• Computing Invariants of Knotted Graphs Given by Sequences of Points in 3-Dimensional Space: V. Kurlin.