| Description |
1 online resource |
| Series |
Mathematics and Visualization |
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Mathematics and visualization.
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| Contents |
Intro -- Preface -- Contents -- Part I: Scalar Field Topology -- Algorithms and Applications -- W-Structures in Contour Trees -- 1 Introduction -- 2 Background -- 2.1 Contour Trees -- 2.2 Contour Tree Algorithms -- 2.3 Contour Tree Simplification -- 3 W-Structures in Contour Trees -- 3.1 Spatial Characterization -- 3.2 W-Diameter Algorithms -- 3.3 Algorithm 1-Multi BFS -- 3.4 Algorithm 2-Double BFS -- 3.5 Algorithm 3-Dynamic -- 4 Empirical Study -- 4.1 Results -- 5 W-Structure Simplification -- 5.1 Persistent Homology Overview -- 5.2 Comparison of Critical Point Pairs -- 6 Conclusion |
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3.2 Histogram Distribution -- 4 Analysis and Visualization of Percolation Curve Ensembles -- 4.1 Analysis of a Single Percolation Curve -- 4.2 Analysis of Percolation Curve Ensembles -- 5 Experiments -- 5.1 Randomness and Structure: Gaussian Random Fields -- 5.2 Turbulent Flow: Duct Data Set -- 6 Conclusions and Future Work -- References -- Distributed Task-Parallel Topology-Controlled Volume Rendering -- 1 Introduction -- 2 Related Work -- 3 System Design -- 4 Implementation -- 4.1 Merge -- 4.2 Simplify -- 4.3 Update -- 4.4 Branch Decomposition Assembly -- 4.5 Transfer Function Assignment |
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4.6 Rendering -- 5 Results -- 5.1 Experimental Design -- 5.2 General Observations -- 5.3 Algorithm Validation -- 5.4 Strong Scaling -- 5.5 Weak Scaling -- 6 Conclusion -- References -- Topology-Based Feature Design and Tracking for Multi-center Cyclones -- 1 Introduction -- 2 Background -- 3 Full Tracking Graph Computation -- 4 Feature Definition and Tracking of Cyclonic Systems -- 5 Implementation Details -- 6 Case Study -- 7 Conclusion and Discussion -- References -- Using Contour Trees in the Analysis and Visualization of Radio Astronomy Data Cubes -- 1 Introduction -- 2 Science Case |
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3 Technical Background -- 4 Application Development Process -- 4.1 Designing to Serve the ALMA Community -- 5 Software Design -- 5.1 Visual Elements -- 5.2 Interaction Process -- 6 Case Studies -- 6.1 Ghost of Mirach Galaxy Data Set -- 6.2 CMZ Data Set -- 7 Discussion -- References -- Part II: Topological Methods in Complex Fields -- Flow Fields, Tensor Fields, and Multi-fields -- Objective Finite-Time Flow Topology from Flowmap Expansion and Contraction -- 1 Introduction -- 2 Related Work -- 2.1 Classic Steady Vector Field Topology -- 2.2 Streamlines vs. Pathlines -- 2.3 Reference Frames |
| Summary |
This book is a result of a workshop, the 8th of the successful TopoInVis workshop series, held in 2019 in Nykoping, Sweden. The workshop regularly gathers some of the worlds leading experts in this field. Thereby, it provides a forum for discussions on the latest advances in the field with a focus on finding practical solutions to open problems in topological data analysis for visualization. The contributions provide introductory and novel research articles including new concepts for the analysis of multivariate and time-dependent data, robust computational approaches for the extraction and approximations of topological structures with theoretical guarantees, and applications of topological scalar and vector field analysis for visualization. The applications span a wide range of scientific areas comprising climate science, material sciences, fluid dynamics, and astronomy. In addition, community efforts with respect to joint software development are reported and discussed |
| Bibliography |
References-Mergemaps: Treemaps for Scientific Data-1 Introduction-1.1 Related Work-1.2 Summary of Results-2 Background-2.1 Merge Tree-2.2 Treemap-3 Mergemap-3.1 Motivation-3.2 Algorithm-3.3 Interaction-3.4 Operations-3.5 Area Distortion-4 Case Studies-4.1 Ethane-1,2-diol-4.2 Fuel-4.3 Silicium-4.4 von K225rm225n Street-5 Conclusions-References-Notes on Percolation Analysis of Sampled Scalar Fields-1 Introduction-2 Related Work and Background-3 From Infinite to Finite-3.1 The Extremes of the Value Range |
| Notes |
Online resource; title from PDF title page (SpringerLink, viewed October 8, 2021) |
| Subject |
Topology -- Congresses
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Mathematical analysis -- Congresses
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Information visualization -- Congresses
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Topología -- Congresos
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Análisis matemático -- Congresos
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Sistemas de visualización de la información -- Congresos
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Information visualization
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Mathematical analysis
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Topology
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Topologia.
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Anàlisi matemàtica.
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Visualització de la informació.
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| Genre/Form |
proceedings (reports)
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Conference papers and proceedings
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Conference papers and proceedings.
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Actes de congrès.
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Congressos.
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Llibres electrònics.
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| Form |
Electronic book
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| Author |
Hotz, Ingrid
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Bin Masood, Talha
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Sadlo, Filip
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Tierny, Julien, 1982-
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| ISBN |
9783030835002 |
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3030835006 |
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