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Topological Data Analysis for Scientific Visualization / by Julien Tierny.
Springer Nature - Springer Mathematics and Statistics eBooks 2017 English International Available online
View online- Format:
- Book
- Author/Creator:
- Tierny, Julien., Author.
- Series:
- Mathematics and Visualization, 1612-3786
- Language:
- English
- Subjects (All):
- Mathematics.
- Visualization.
- Topology.
- Optical data processing.
- Algorithms.
- Computer science--Mathematics.
- Computer science.
- Computer software.
- Computer Imaging, Vision, Pattern Recognition and Graphics.
- Discrete Mathematics in Computer Science.
- Mathematical Software.
- Local Subjects:
- Visualization.
- Topology.
- Computer Imaging, Vision, Pattern Recognition and Graphics.
- Algorithms.
- Discrete Mathematics in Computer Science.
- Mathematical Software.
- Physical Description:
- 1 online resource (XV, 150 p. 84 illus. in color.)
- Edition:
- 1st ed. 2017.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2017.
- Summary:
- Combining theoretical and practical aspects of topology, this book delivers a comprehensive and self-contained introduction to topological methods for the analysis and visualization of scientific data. Theoretical concepts are presented in a thorough but intuitive manner, with many high-quality color illustrations. Key algorithms for the computation and simplification of topological data representations are described in details, and their application is carefully illustrated 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.
- Contents:
- 1. Introduction
- 2. Background: 2.1 Data representation
- 2.2 Topological abstractions
- 2.3 Algorithms and applications
- 3. Abstraction: 3.1 Efficient topological simplification of scalar fields
- 3.2 Efficient Reeb graph computation for volumetric meshes
- 4. Interaction: 4.1 Topological simplification of isosurfaces
- 4.2 Interactive editing of topological abstractions
- 5. Analysis: 5.1 Exploration of turbulent combustion simulations
- 5.2 Quantitative analysis of molecular interactions
- 6. Perspectives: 6.1 Emerging constraints
- 6.2 Emerging data types
- 7. Conclusion.
- Notes:
- Includes bibliographical references and index.
- ISBN:
- 3-319-71507-0
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