04200nam 22007455 450 991025545560332120220520171215.03-319-71507-010.1007/978-3-319-71507-0(CKB)4100000001794755(DE-He213)978-3-319-71507-0(MiAaPQ)EBC5228469(PPN)223955809(EXLCZ)99410000000179475520180117d2017 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierTopological Data Analysis for Scientific Visualization /by Julien Tierny1st ed. 2017.Cham :Springer International Publishing :Imprint: Springer,2017.1 online resource (XV, 150 p. 84 illus. in color.)Mathematics and Visualization,1612-37863-319-71506-2 Includes bibliographical references and index.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.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.Mathematics and Visualization,1612-3786MathematicsVisualizationTopologyOptical data processingAlgorithmsComputer scienceMathematicsComputer softwareVisualizationhttps://scigraph.springernature.com/ontologies/product-market-codes/M14034Topologyhttps://scigraph.springernature.com/ontologies/product-market-codes/M28000Computer Imaging, Vision, Pattern Recognition and Graphicshttps://scigraph.springernature.com/ontologies/product-market-codes/I22005Algorithmshttps://scigraph.springernature.com/ontologies/product-market-codes/M14018Discrete Mathematics in Computer Sciencehttps://scigraph.springernature.com/ontologies/product-market-codes/I17028Mathematical Softwarehttps://scigraph.springernature.com/ontologies/product-market-codes/M14042Mathematics.Visualization.Topology.Optical data processing.Algorithms.Computer scienceMathematics.Computer software.Visualization.Topology.Computer Imaging, Vision, Pattern Recognition and Graphics.Algorithms.Discrete Mathematics in Computer Science.Mathematical Software.006.60151Tierny Julienauthttp://id.loc.gov/vocabulary/relators/aut767647MiAaPQMiAaPQMiAaPQBOOK9910255455603321Topological Data Analysis for Scientific Visualization1563096UNINA