Topological Methods in Data Analysis and Visualization IV : Theory, Algorithms, and Applications / edited by Hamish Carr, Christoph Garth, Tino Weinkauf.

Format:

Book

Contributor:

Carr, Hamish, Editor.

Garth, Christoph, Editor.

Weinkauf, Tino, Editor.

Series:

Mathematics and Visualization, 2197-666X

Language:

English

Subjects (All):

Information visualization.

Manifolds (Mathematics).

Artificial intelligence.

Computer graphics.

Data and Information Visualization.

Manifolds and Cell Complexes.

Artificial Intelligence.

Computer Graphics.

Local Subjects:

Data and Information Visualization.

Manifolds and Cell Complexes.

Artificial Intelligence.

Computer Graphics.

Physical Description:

1 online resource (XI, 363 p. 153 illus., 129 illus. in color.)

Edition:

1st ed. 2017.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2017.

Summary:

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 way to mathematical topologies not previously applied to data analysis. Topological methods are broadly recognized as valuable tools for analyzing the ever-increasing flood of data generated by simulation or acquisition. This is particularly the case in scientific visualization, where the data sets have long since surpassed the ability of the human mind to absorb every single byte of data. The biannual TopoInVis workshop has supported researchers in this area for a decade, and continues to serve as a vital forum for the presentation and discussion of novel results in applications in the area, creating a platform to disseminate knowledge about such implementations throughout andbeyond the community. The present volume, resulting from the 2015 TopoInVis workshop held in Annweiler, Germany, will appeal to researchers in the fields of scientific visualization and mathematics, domain scientists with an interest in advanced visualization methods, and developers of visualization software systems.

Contents:

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.

Notes:

Includes bibliographical references at the end of each chapters.

ISBN:

3-319-44684-3