Editors:
- Covers the full range of cutting-edge research in the sector
- Features work by the most prominent and respected researchers
- Contains papers on the latest developments including fast homology computation
Part of the book series: Mathematics and Visualization (MATHVISUAL)
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Table of contents (18 papers)
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Front Matter
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Part I: Scalar Field Topology – Algorithms and Applications
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Front Matter
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Part II: Topological Methods in Complex Fields – Flow Fields, Tensor Fields, and Multi-fields
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Front Matter
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Part III: Topology for Geometric Data
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Front Matter
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Part IV: Overview Articles, Software and Viewpoints
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Front Matter
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About this book
This book is a result of a workshop, the 8th of the successful TopoInVis workshop series, held in 2019 in Nyköping, Sweden. The workshop regularly gathers some of the world’s leading experts in this field. Thereby, it provides a forum for discussions on the latest advances in the field with a focus on finding practical solutions to open problems in topological data analysis for visualization. The contributions provide introductory and novel research articles including new concepts for the analysis of multivariate and time-dependent data, robust computational approaches for the extraction and approximations of topological structures with theoretical guarantees, and applications of topological scalar and vector field analysis for visualization. The applications span a wide range of scientific areas comprising climate science, material sciences, fluid dynamics, and astronomy. In addition, community efforts with respect to joint software development are reported and discussed.
Keywords
- Scientific Visualization
- Scalar Field Topology
- Vector Field Topology
- Topology of Point Sets and Cell Complexes
- Combinatorial Methods
- Persistent Homology
- Robustness
- Multi-scale Representation Models
- Time-dependent Methods
- Feature Extraction
- Lagrangian Coherent Structures
- Denoising and Simplification
- Similarity and Correlation
Editors and Affiliations
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Department of Science and Technology, Linköping University, Norrköping, Sweden
Ingrid Hotz, Talha Bin Masood
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Heidelberg University, IWR, Heidelberg, Germany
Filip Sadlo
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CNRS, Department of Scientific Computing, Sorbonne Université, Paris, France
Julien Tierny
Bibliographic Information
Book Title: Topological Methods in Data Analysis and Visualization VI
Book Subtitle: Theory, Applications, and Software
Editors: Ingrid Hotz, Talha Bin Masood, Filip Sadlo, Julien Tierny
Series Title: Mathematics and Visualization
DOI: https://doi.org/10.1007/978-3-030-83500-2
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-83499-9Published: 29 September 2021
Softcover ISBN: 978-3-030-83502-6Published: 30 September 2022
eBook ISBN: 978-3-030-83500-2Published: 28 September 2021
Series ISSN: 1612-3786
Series E-ISSN: 2197-666X
Edition Number: 1
Number of Pages: XI, 373
Number of Illustrations: 22 b/w illustrations, 164 illustrations in colour
Topics: Visualization, Topology, Computer Graphics, Theory of Computation, Algorithms, Mathematical Software