Topological Data Analysis for Scientific Visualization
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Beschreibung
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.
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.
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)
Autor*in
Julien Tierny
Themen in »Topological Data Analysis for Scientific Visualization«
Topological Data Analysis Scientific Visualization Computational Topology Morse Theory Persistent Homology
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“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)
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