Topological Data Analysis for Scientific V...

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Beschreibung

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.

Über den Autor

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.

Zusammenfassung

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)

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2018
Fachbereich:	Allgemeines
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Reihe:	Mathematics and Visualization
Inhalt:	xv 150 S. 84 farbige Illustr. 150 p. 84 illus. in color.
ISBN-13:	9783319715063
ISBN-10:	3319715062
Sprache:	Englisch
Herstellernummer:	978-3-319-71506-3
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Tierny, Julien
Auflage:	1st ed. 2017
Hersteller:	Springer International Publishing Springer International Publishing AG Mathematics and Visualization
Maße:	241 x 160 x 15 mm
Von/Mit:	Julien Tierny
Erscheinungsdatum:	29.01.2018
Gewicht:	0,424 kg

Artikel-ID: 111074397