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  • Book
  • © 2017

Topological Data Analysis for Scientific Visualization

Authors:

  • 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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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xv
  2. Introduction

    • Julien Tierny
    Pages 1-2
  3. Background

    • Julien Tierny
    Pages 3-33
  4. Abstraction

    • Julien Tierny
    Pages 35-66
  5. Interaction

    • Julien Tierny
    Pages 67-89
  6. Analysis

    • Julien Tierny
    Pages 91-118
  7. Perspectives

    • Julien Tierny
    Pages 119-136
  8. Conclusion

    • Julien Tierny
    Pages 137-139
  9. Back Matter

    Pages 141-150

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.

 

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

  • Department of Scientific Computing, CNRS, Sorbonne Université, LIP6, Paris, France

    Julien Tierny

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

Buy it now

Buying options

eBook USD 119.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 159.99
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