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  • Conference proceedings
  • © 2017

Topological Methods in Data Analysis and Visualization IV

Theory, Algorithms, and Applications

  • Covers the full range of cutting-edge research in the sector
  • Many applications to science and engineering
  • Topic with close interaction of mathematics and computer science
  • Includes supplementary material: sn.pub/extras

Part of the book series: Mathematics and Visualization (MATHVISUAL)

Conference series link(s): TopoInVis: Topological Methods in Data Analysis and Visualization

Conference proceedings info: TopoInVis 2015.

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Table of contents (21 papers)

  1. Front Matter

    Pages i-xi
  2. Topology-Based Analysis of Multi-Variate Data Sets

    1. Front Matter

      Pages 1-1
    2. Topology-Based Analysis for Multimodal Atmospheric Data of Volcano Eruptions

      • Alexander Kuhn, Wito Engelke, Markus Flatken, Hans-Christian Hege, Ingrid Hotz
      Pages 35-50
    3. A Comparison of Joint Contour Nets and Pareto Sets

      • Lars Huettenberger, Christian Heine, Christoph Garth
      Pages 51-65
  3. Topological Techniques for High-Dimensional Data

    1. Front Matter

      Pages 67-67
    2. Visualizing Topological Properties of the Search Landscape of Combinatorial Optimization Problems

      • Sebastian Volke, Dirk Zeckzer, Martin Middendorf, Gerik Scheuermann
      Pages 69-85
    3. Computing and Visualizing Time-Varying Merge Trees for High-Dimensional Data

      • Patrick Oesterling, Christian Heine, Gunther H. Weber, Dmitriy Morozov, Gerik Scheuermann
      Pages 87-101
  4. Scalar Field Topology

    1. Front Matter

      Pages 119-119
    2. Fast Similarity Search in Scalar Fields using Merging Histograms

      • Himangshu Saikia, Hans-Peter Seidel, Tino Weinkauf
      Pages 121-134
    3. Morse-Smale Analysis of Ion Diffusion in Ab Initio Battery Materials Simulations

      • Attila Gyulassy, Aaron Knoll, Kah Chun Lau, Bei Wang, Peer-Timo Bremer, Michael E. Papka et al.
      Pages 135-149
    4. Piecewise Polynomial Reconstruction of Scalar Fields from Simplified Morse-Smale Complexes

      • Léo Allemand-Giorgis, Georges-Pierre Bonneau, Stefanie Hahmann
      Pages 151-168
  5. Vector and Tensor Field Topology

    1. Front Matter

      Pages 169-169
    2. Topological Extraction of Escape Maps in Divergence-Free Vector Fields

      • Ronald Peikert, Gustavo Machado, Filip Sadlo
      Pages 171-186
    3. Compute and Visualize Discontinuity Among Neighboring Integral Curves of 2D Vector Fields

      • Lei Zhang, Robert S. Laramee, David Thompson, Adrian Sescu, Guoning Chen
      Pages 187-203
    4. Decomposition of Vector Fields Beyond Problems of First Order and Their Applications

      • Wieland Reich, Mario Hlawitschka, Gerik Scheuermann
      Pages 205-219
    5. Maximum Number of Degenerate Curves in 3D Linear Tensor Fields

      • Yue Zhang, Yu-Jong Tzeng, Eugene Zhang
      Pages 221-234
  6. Coherent Structures

    1. Front Matter

      Pages 235-235
    2. Hierarchical Watershed Ridges for Visualizing Lagrangian Coherent Structures

      • Mingcheng Chen, John C. Hart, Shawn C. Shadden
      Pages 237-251

Other Volumes

  1. Topological Methods in Data Analysis and Visualization IV

About this book

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 throughoutand beyond 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.

Editors and Affiliations

  • University of Leeds, Leeds, United Kingdom

    Hamish Carr

  • Department of Computer Science, Technical University of Kaiserslautern, Kaiserslautern, Germany

    Christoph Garth

  • School of Computer Science and Communication, KTH Royal Institute of Technology, Stockholm, Sweden

    Tino Weinkauf

Bibliographic Information

Buy it now

Buying options

eBook USD 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access