Topological Data Analysis for Scientific Visualization

✍ Scribed by Julien Tierny (auth.)

• Publisher: Springer International Publishing
• Year: 2017
• Tongue: English
• Leaves: 158
• Series: Mathematics and Visualization
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter ....Pages i-xv
Introduction (Julien Tierny)....Pages 1-2
Background (Julien Tierny)....Pages 3-33
Abstraction (Julien Tierny)....Pages 35-66
Interaction (Julien Tierny)....Pages 67-89
Analysis (Julien Tierny)....Pages 91-118
Perspectives (Julien Tierny)....Pages 119-136
Conclusion (Julien Tierny)....Pages 137-139
Back Matter ....Pages 141-150

✦ Subjects

Visualization