Overview
- 84 color images, including 20 high quality illustrations in the background section, nicely introducing in images the key concepts of topological data analysis
- Special chapter on application examples, illustrating concrete use cases of topological data analysis pipelines in combustion and chemistry
- Special chapter on the perspectives of topological data analysis regarding the upcoming generation of super-computers (exascale computing)
Part of the book series: Mathematics and Visualization (MATHVISUAL)
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About this book
Combining theoretical and practical aspects of topology, this book provides a comprehensive and self-contained introduction to topological methods for the analysis and visualization of scientific data.
Theoretical concepts are presented in a painstaking but intuitive manner, with numerous high-quality color illustrations. Key algorithms for the computation and simplification of topological data representations are described in detail, and their application is carefully demonstrated in a chapter dedicated to concrete use cases.
With its fine balance between theory and practice, "Topological Data Analysis for Scientific Visualization" constitutes an appealing introduction to the increasingly important topic of topological data analysis for lecturers, students and researchers.
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Keywords
Table of contents (7 chapters)
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Front Matter
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Back Matter
Reviews
“The book under review is built as a systematic textbook that pinpoints the elements of data visualization and offers the theoretical background for this task. … The book is written in an accessible style, suitable for undergraduates and graduates alike, and only requires a minimal algorithmic background.” (Irina Ioana Mohorianu, zbMATH 1387.00020, 2018)
Authors and Affiliations
About the author
Julien Tierny received the Ph.D. degree in Computer Science from Lille 1 University in 2008 and the Habilitation degree (HDR) from Sorbonne Universités UPMC in 2016. He is currently a CNRS permanent research scientist, affiliated with Sorbonne Universities (LIP6, UPMC Paris 6, France) since September 2014 and with Telecom ParisTech from 2010 to 2014. Prior to his CNRS tenure, he held a Fulbright fellowship (U.S. Department of State) and was a post-doctoral research associate at the Scientific Computing and Imaging Institute at the University of Utah. His research expertise includes topological data analysis for scientific visualization. Dr. Julien Tierny received several awards for his research, including best paper awards (IEEE VIS 2017, IEEE VIS 2016, IEEE SciVis Contest 2016, EGPGV 2013). He is the lead developer of the Topology ToolKit (TTK), an open source library for topological data analysis.
Bibliographic Information
Book Title: Topological Data Analysis for Scientific Visualization
Authors: Julien Tierny
Series Title: Mathematics and Visualization
DOI: https://doi.org/10.1007/978-3-319-71507-0
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-71506-3Published: 29 January 2018
Softcover ISBN: 978-3-319-89079-1Published: 04 June 2019
eBook ISBN: 978-3-319-71507-0Published: 16 January 2018
Series ISSN: 1612-3786
Series E-ISSN: 2197-666X
Edition Number: 1
Number of Pages: XV, 150
Number of Illustrations: 84 illustrations in colour
Topics: Visualization, Topology, Computer Imaging, Vision, Pattern Recognition and Graphics, Algorithms, Discrete Mathematics in Computer Science, Mathematical Software