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Modeling, Analysis, and Visualization of Anisotropy / / edited by Thomas Schultz, Evren Özarslan, Ingrid Hotz
| Modeling, Analysis, and Visualization of Anisotropy / / edited by Thomas Schultz, Evren Özarslan, Ingrid Hotz |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (X, 407 p. 150 illus. in color.) |
| Disciplina | 530 |
| Collana | Mathematics and Visualization |
| Soggetto topico |
Matrix theory
Algebra Computer mathematics Mathematics Visualization Optical data processing Linear and Multilinear Algebras, Matrix Theory Computational Science and Engineering Image Processing and Computer Vision |
| ISBN | 3-319-61358-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Part I: Features and Visualization -- Part II: Image Processing and Analysis -- Part III: Diffusion Modeling and Microstructure -- Part IV: Tractography -- Part V: Machine Learning Approaches. |
| Record Nr. | UNINA-9910254286103321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Topological methods in data analysis and visualization . VI Theory, applications, and software / / Ingrid Hotz [and three others] editors
| Topological methods in data analysis and visualization . VI Theory, applications, and software / / Ingrid Hotz [and three others] editors |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (372 pages) |
| Disciplina | 514 |
| Collana | Mathematics and Visualization |
| Soggetto topico |
Topology
Mathematical analysis Information visualization Topologia Anàlisi matemàtica Visualització de la informació |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN | 3-030-83500-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
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 -- 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 -- 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 -- 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 -- 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 -- 2.4 Lagrangian Coherent Structures -- 2.5 Time-Dependent Saddles -- 3 Intuitive Approach -- 4 Theory -- 4.1 Mathematical Definition -- 4.2 Relation to the Lagrangian Definition -- 4.3 Objectivity -- 4.4 Linear Approximation -- 4.5 Strength -- 4.6 Weighting Related to FTLE -- 4.7 Separatrices -- 5 Experiments -- 6 Discussion -- 7 Conclusion -- References -- Coreline Criteria for Inertial Particle Motion -- 1 Introduction -- 2 Related Work -- 2.1 Galilean Invariance -- 2.2 Inertial Particle Motion -- 2.3 Vortex Corelines of Massless Flows -- 2.4 Vortex Corelines of Inertial Particles -- 3 Vortex Coreline Criteria for Inertial Particles -- 3.1 Generalized Inertial Particle Motion -- 3.2 Inertial Motion in Steady Frame -- 3.3 First-Order Corelines. 3.4 Second-Order Corelines -- 4 Implementation -- 5 Results -- 5.1 Comparison of Inertial Particle Parameters -- 5.2 Comparison of Inertial Particle Models -- 5.3 Second-Order Corelines in 3D -- 5.4 Memory Consumption and Performance -- 5.5 Discussion -- 6 Conclusion -- Appendix 1 - Derivation of First-order 3D Criterion -- Appendix 2 - Tracer Particles as Limit Case -- References -- Implicit Visualization of 2D Vector Field Topology for Periodic Orbit Detection -- 1 Introduction -- 2 Related Work -- 3 Motivation -- 4 Method -- 5 Algorithm -- 5.1 Integration -- 5.2 Refinement -- 5.3 Implementation -- 6 Results -- 6.1 Rotated Flow -- 6.2 Buoyant Flow -- 6.3 Buoyant Flow II -- 6.4 Discussion -- 7 Conclusion -- References -- Visually Evaluating the Topological Equivalence of Bounded Bivariate Fields -- 1 Introduction -- 2 Related Work in Visualization -- 3 Set-Up -- 3.1 The mathcalB+-Equivalence and Fiber Topology -- 3.2 Invariants -- 4 Reeb Space Visualization and Computation -- 4.1 Visualization -- 4.2 Computation -- 5 Invariants for Bounded Map Germs -- 6 Outcome -- 6.1 Comparing Forms of Equivalence Through Visual Investigation -- 6.2 Germs of Corank 2 -- 7 Discussion -- 8 Conclusion -- References -- Topological Feature Search in Time-Varying Multifield Data -- 1 Introduction -- 2 Related Work -- 3 Background -- 3.1 Histogram and Isosurface Statistics, Continuous Scatter Plot -- 3.2 Multifield Topology and Jacobi Set -- 3.3 Reeb Space and Joint Contour Net -- 3.4 Histogram Distance Measures -- 4 Our Method -- 4.1 Fiber-Component Distribution over the Range Space -- 4.2 Distance Between Two Fiber-Component Distributions -- 4.3 Weighted Distance for the Singular Values -- 4.4 Metric Space Properties of the Distance Measures -- 5 Implementation -- 6 Applications -- 6.1 Synthetic Data -- 6.2 Plutonium Atom Dataset -- 6.3 Fermium Atom Dataset. 6.4 Chemistry Data: Pt-CO Bond -- 7 Single Scalar Field vs. Multifield -- 8 Conclusions and Future Work -- References -- Tensor Fields for Data Extraction from Chart Images: Bar Charts and Scatter Plots -- 1 Introduction -- 2 Related Work -- 3 Background on Local Geometric Descriptors -- 4 Our Proposed Method -- 5 Experiments and Results -- 6 Conclusions -- References -- Part III: Topology for Geometric Data -- A Fast Approximate Skeleton with Guarantees for Any Cloud of Points in a Euclidean Space -- 1 Introduction: Reconstructions from Unorganized Clouds -- 2 Basic Definitions and a Review of the Related Past Work -- 3 A New Tree core(C) Defined for Any Point Cloud CsubsetmathbbRm -- 4 ASk(C): Approximate Skeleton of a Cloud CsubsetmathbbRm -- 5 Comparisons of Five Algorithms on Real and Synthetic Data -- 6 Conclusions and a Discussion of the Approximate Skeleton -- References -- Topologically Robust B-spline Reconstruction of Fibers from 3D Images -- 1 Introduction -- 2 Related Work -- 3 Pipeline -- 4 B-Spline Approximation -- 4.1 B-Spline Surface Notation -- 4.2 Single B-Spline Surface Approximation -- 4.3 Constructing a Continuous Surface Model -- 5 Results -- 6 Conclusions -- References -- Part IV: Overview Articles, Software and Viewpoints -- Introduction to Vector Field Topology -- 1 Introduction -- 2 Steady Vector Fields -- 2.1 Two-Dimensional Flows -- 2.2 Three-Dimensional Flows -- 2.3 Remarks -- 3 Unsteady Flows -- 3.1 Streamline-Oriented Topology -- 3.2 Pathline-Oriented Topology -- 4 Concepts -- 4.1 Reference Frame Transformation -- 4.2 Reference Frame Invariance -- 4.3 Topology in Steady Reference Frames -- 4.4 High-Dimensional Flows -- 4.5 Uncertainty -- 5 Outlook -- References -- An Overview of the Topology ToolKit -- 1 Introduction -- 2 Scalar Data -- 3 Bivariate Scalar Data -- 4 Uncertain Scalar Data -- 5 Time-Varying Scalar Data. 6 High-Dimensional Point Cloud Data -- 7 In Situ Topological Analysis -- 8 Convenience -- 9 Conclusion and Perspectives -- References -- Implementing Persistence-Based Clustering of Point Clouds in the Topology ToolKit -- 1 Introduction -- 1.1 Contributions -- 2 Related Work -- 3 Software Design Overview -- 4 Computing Scalar Fields from Point Clouds -- 4.1 Parameter Setting -- 5 Persistence-Based Clustering -- 5.1 User Options -- 5.2 Automatic Parameter Setting -- 6 Experimental Results -- 6.1 Automatic Feature Detection -- 6.2 Comparison Against Other Clustering Methods -- 7 Discussion -- References -- Report of the TopoInVis TTK Hackathon: Experiences, Lessons Learned, and Perspectives -- 1 Introduction -- 2 Organization -- 2.1 Preparation -- 2.2 Program -- 3 Results -- 3.1 Packaging -- 3.2 Vector Field Robustness Module -- 3.3 Extending the Integration of TTK in Inviwo -- 3.4 Periodic Grids -- 4 Conclusion -- 4.1 Workgroup Results -- 4.2 Organizational Aspects -- 4.3 TTK Development Directions -- References. |
| Record Nr. | UNINA-9910502997603321 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Topological methods in data analysis and visualization . VI Theory, applications, and software / / Ingrid Hotz [and three others] editors
| Topological methods in data analysis and visualization . VI Theory, applications, and software / / Ingrid Hotz [and three others] editors |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (372 pages) |
| Disciplina | 514 |
| Collana | Mathematics and Visualization |
| Soggetto topico |
Topology
Mathematical analysis Information visualization Topologia Anàlisi matemàtica Visualització de la informació |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN | 3-030-83500-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
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 -- 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 -- 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 -- 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 -- 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 -- 2.4 Lagrangian Coherent Structures -- 2.5 Time-Dependent Saddles -- 3 Intuitive Approach -- 4 Theory -- 4.1 Mathematical Definition -- 4.2 Relation to the Lagrangian Definition -- 4.3 Objectivity -- 4.4 Linear Approximation -- 4.5 Strength -- 4.6 Weighting Related to FTLE -- 4.7 Separatrices -- 5 Experiments -- 6 Discussion -- 7 Conclusion -- References -- Coreline Criteria for Inertial Particle Motion -- 1 Introduction -- 2 Related Work -- 2.1 Galilean Invariance -- 2.2 Inertial Particle Motion -- 2.3 Vortex Corelines of Massless Flows -- 2.4 Vortex Corelines of Inertial Particles -- 3 Vortex Coreline Criteria for Inertial Particles -- 3.1 Generalized Inertial Particle Motion -- 3.2 Inertial Motion in Steady Frame -- 3.3 First-Order Corelines. 3.4 Second-Order Corelines -- 4 Implementation -- 5 Results -- 5.1 Comparison of Inertial Particle Parameters -- 5.2 Comparison of Inertial Particle Models -- 5.3 Second-Order Corelines in 3D -- 5.4 Memory Consumption and Performance -- 5.5 Discussion -- 6 Conclusion -- Appendix 1 - Derivation of First-order 3D Criterion -- Appendix 2 - Tracer Particles as Limit Case -- References -- Implicit Visualization of 2D Vector Field Topology for Periodic Orbit Detection -- 1 Introduction -- 2 Related Work -- 3 Motivation -- 4 Method -- 5 Algorithm -- 5.1 Integration -- 5.2 Refinement -- 5.3 Implementation -- 6 Results -- 6.1 Rotated Flow -- 6.2 Buoyant Flow -- 6.3 Buoyant Flow II -- 6.4 Discussion -- 7 Conclusion -- References -- Visually Evaluating the Topological Equivalence of Bounded Bivariate Fields -- 1 Introduction -- 2 Related Work in Visualization -- 3 Set-Up -- 3.1 The mathcalB+-Equivalence and Fiber Topology -- 3.2 Invariants -- 4 Reeb Space Visualization and Computation -- 4.1 Visualization -- 4.2 Computation -- 5 Invariants for Bounded Map Germs -- 6 Outcome -- 6.1 Comparing Forms of Equivalence Through Visual Investigation -- 6.2 Germs of Corank 2 -- 7 Discussion -- 8 Conclusion -- References -- Topological Feature Search in Time-Varying Multifield Data -- 1 Introduction -- 2 Related Work -- 3 Background -- 3.1 Histogram and Isosurface Statistics, Continuous Scatter Plot -- 3.2 Multifield Topology and Jacobi Set -- 3.3 Reeb Space and Joint Contour Net -- 3.4 Histogram Distance Measures -- 4 Our Method -- 4.1 Fiber-Component Distribution over the Range Space -- 4.2 Distance Between Two Fiber-Component Distributions -- 4.3 Weighted Distance for the Singular Values -- 4.4 Metric Space Properties of the Distance Measures -- 5 Implementation -- 6 Applications -- 6.1 Synthetic Data -- 6.2 Plutonium Atom Dataset -- 6.3 Fermium Atom Dataset. 6.4 Chemistry Data: Pt-CO Bond -- 7 Single Scalar Field vs. Multifield -- 8 Conclusions and Future Work -- References -- Tensor Fields for Data Extraction from Chart Images: Bar Charts and Scatter Plots -- 1 Introduction -- 2 Related Work -- 3 Background on Local Geometric Descriptors -- 4 Our Proposed Method -- 5 Experiments and Results -- 6 Conclusions -- References -- Part III: Topology for Geometric Data -- A Fast Approximate Skeleton with Guarantees for Any Cloud of Points in a Euclidean Space -- 1 Introduction: Reconstructions from Unorganized Clouds -- 2 Basic Definitions and a Review of the Related Past Work -- 3 A New Tree core(C) Defined for Any Point Cloud CsubsetmathbbRm -- 4 ASk(C): Approximate Skeleton of a Cloud CsubsetmathbbRm -- 5 Comparisons of Five Algorithms on Real and Synthetic Data -- 6 Conclusions and a Discussion of the Approximate Skeleton -- References -- Topologically Robust B-spline Reconstruction of Fibers from 3D Images -- 1 Introduction -- 2 Related Work -- 3 Pipeline -- 4 B-Spline Approximation -- 4.1 B-Spline Surface Notation -- 4.2 Single B-Spline Surface Approximation -- 4.3 Constructing a Continuous Surface Model -- 5 Results -- 6 Conclusions -- References -- Part IV: Overview Articles, Software and Viewpoints -- Introduction to Vector Field Topology -- 1 Introduction -- 2 Steady Vector Fields -- 2.1 Two-Dimensional Flows -- 2.2 Three-Dimensional Flows -- 2.3 Remarks -- 3 Unsteady Flows -- 3.1 Streamline-Oriented Topology -- 3.2 Pathline-Oriented Topology -- 4 Concepts -- 4.1 Reference Frame Transformation -- 4.2 Reference Frame Invariance -- 4.3 Topology in Steady Reference Frames -- 4.4 High-Dimensional Flows -- 4.5 Uncertainty -- 5 Outlook -- References -- An Overview of the Topology ToolKit -- 1 Introduction -- 2 Scalar Data -- 3 Bivariate Scalar Data -- 4 Uncertain Scalar Data -- 5 Time-Varying Scalar Data. 6 High-Dimensional Point Cloud Data -- 7 In Situ Topological Analysis -- 8 Convenience -- 9 Conclusion and Perspectives -- References -- Implementing Persistence-Based Clustering of Point Clouds in the Topology ToolKit -- 1 Introduction -- 1.1 Contributions -- 2 Related Work -- 3 Software Design Overview -- 4 Computing Scalar Fields from Point Clouds -- 4.1 Parameter Setting -- 5 Persistence-Based Clustering -- 5.1 User Options -- 5.2 Automatic Parameter Setting -- 6 Experimental Results -- 6.1 Automatic Feature Detection -- 6.2 Comparison Against Other Clustering Methods -- 7 Discussion -- References -- Report of the TopoInVis TTK Hackathon: Experiences, Lessons Learned, and Perspectives -- 1 Introduction -- 2 Organization -- 2.1 Preparation -- 2.2 Program -- 3 Results -- 3.1 Packaging -- 3.2 Vector Field Robustness Module -- 3.3 Extending the Integration of TTK in Inviwo -- 3.4 Periodic Grids -- 4 Conclusion -- 4.1 Workgroup Results -- 4.2 Organizational Aspects -- 4.3 TTK Development Directions -- References. |
| Record Nr. | UNISA-996466401703316 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Topological Methods in Data Analysis and Visualization III : Theory, Algorithms, and Applications / / edited by Peer-Timo Bremer, Ingrid Hotz, Valerio Pascucci, Ronald Peikert
| Topological Methods in Data Analysis and Visualization III : Theory, Algorithms, and Applications / / edited by Peer-Timo Bremer, Ingrid Hotz, Valerio Pascucci, Ronald Peikert |
| Edizione | [1st ed. 2014.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
| Descrizione fisica | 1 online resource (276 p.) |
| Disciplina | 514 |
| Collana | Mathematics and Visualization |
| Soggetto topico |
Mathematics
Visualization Mathematical analysis Calculus Topology Geometry Optical data processing Pattern recognition Analysis Image Processing and Computer Vision Pattern Recognition |
| ISBN | 3-319-04099-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Part I Robust Topological Analysis: 1 Robust Detection of Singularities in Vector Fields: H. Bhatia, A. Gyulassy, H. Wang, P.-T. Bremer and V. Pascucci -- 2 Interpreting Feature Tracking Through the Lens of Robustness: P. Skraba and B. Wang -- 3 Simplification of Morse Decompositions using Morse Set Mergers: L. Sipeki and A. Szymczak -- 4 Toward the Extraction of Saddle Periodic Orbits: J. Kasten, J. Reininghaus, W. Reich and G. Scheuermann -- Part II Efficient Computation of Topology -- 5 Computational Topology via Functional Programming: A Baseline Analysis: D. Duke and H. Carr -- 6 Distributed Contour Trees: D. Morozov and G.H. Weber -- 7 Clear and Compress: Computing Persistent Homology in Chunks: M. Kerber, J. Reininghaus and U. Bauer -- 8 Parallel Computation of Nearly Recurrent Components of Piecewise Constant Vector Fields: N. Brunhart‐Lupo and A. Szymczak -- Part III Simplification, Approximation and Distance Measures -- 9 Notes on the Simplification of the Morse-Smale Complex: D. Günther, J. Reininghaus, H.-P. Seidel and T. Weinkauf -- 10 Measuring The Distance Between Merge Trees: K. Beketayev, D. Yeliussizov, D. Morozov, G.H. Weber and B. Hamann -- 11 Topological Integrity for Dynamic Spline Models During Visualization of Big Data: H. P. Cassidy, Th. J. Peters, H. Ilies and K.E. Jordan -- Part IV Time-Dependent Analysis: 12 A Comparison of Finite-Time and Finite-Size Lyapunov Exponents: R. Peikert, A. Pobitzer, F. Sadlo and B. Schindler -- 13 Development of an efficient and flexible pipeline for Lagrangian coherent structure computation: S. Ameli, Y. Desai and S. Shadden -- 14 Topological Features in Time-Dependent Advection-Diffusion Flow: F. Sadlo, G. Karch and Th. Ertl -- Part V Applications: 15 Definition, Extraction, and Validation of Pore Structures in Porous Media: U. Homberg, D. Baum, A. Wiebel, S. Prohaska and H -- Ch. Hege -- 16 Visualization of Two-Dimensional Symmetric Positive Definite Tensor Fields Using the Heat Kernel: V. Zobel, J. Reininghaus and I. Hotz -- 17 Topological Features in Glyph-Based Corotation Visualization: S. Shafii, H. Obermaier, B. Hamann and K. Joy. |
| Record Nr. | UNINA-9910300148503321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Visualization and Processing of Higher Order Descriptors for Multi-Valued Data / / edited by Ingrid Hotz, Thomas Schultz
| Visualization and Processing of Higher Order Descriptors for Multi-Valued Data / / edited by Ingrid Hotz, Thomas Schultz |
| Edizione | [1st ed. 2015.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
| Descrizione fisica | 1 online resource |
| Disciplina | 515.63 |
| Collana | Mathematics and Visualization |
| Soggetto topico |
Mathematics
Visualization Matrix theory Algebra Computer mathematics Optical data processing Linear and Multilinear Algebras, Matrix Theory Computational Science and Engineering Image Processing and Computer Vision |
| ISBN | 3-319-15090-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Part I: Mathematical Foundations: 1 Cem Yolcu and Evren Özarslan: Diffusion-Weighted Magnetic Resonance Signal for General Gradient Waveforms: Multiple Correlation Function Framework, Path Integrals, and Parallels Between Them -- 2 T.C.J. Dela Haije, A. Fuster and L.M.J. Florack: Finslerian Diffusion and the Bloch-Torrey Equation -- 3 M. Moakher and P. J. Basser: Fiber Orientation Distribution Functions and Orientation Tensors for Different Material Symmetries -- 4 Yue Zhang, Jonathan Palacios and Eugene Zhang: Topology of 3D Linear Symmetric Tensor Fields -- 5 Carmeliza Navasca and Deonnia N. Pompey: Random Projections for Low Multilinear Rank Tensors -- Part II: Processing, Filtering and Interpolation: 6 Jasper J. van de Gronde, Mikola Lysenko and Jos B.T.M. Roerdink: Path-Based Mathematical Morphology on Tensor Fields -- 7 Andreas Kleefeld and Bernhard Burgeth: Processing Multispectral Images via Mathematical Morphology -- 8 Luc Florack, Tom Dela Haije and Andrea Fuster: Direction-Controlled DTI Interpolation -- 9 Daniel Jörgens and Rodrigo Moreno: Tensor Voting: Current State, Challenges and New Trends in the Context of Medical Image Analysis -- Part III: Visualization: 10 Olivier Vaillancourt, Maxime Chamberland, Jean-Christophe Houde and Maxime Descoteaux: Visualization of Diffusion Propagator and Multiple Parameter Diffusion Signal -- 11 Sujal Bista, Jiachen Zhuo, Rao P. Gullapalli and Amitabh Varshney: Visual Knowledge Discovery for Diffusion Kurtosis Datasets of the Human Brain -- 12 Tobias Isenberg: A Survey of Illustrative Visualization Techniques for Diffusion-Weighted MRI Tractography -- 13 Valentin Zobel, Jan Reininghaus and Ingrid Hotz: Visualizing Symmetric Indefinite 2D Tensor Fields sing the Heat Kernel Signature -- Part IV: Statistical Analysis: 14 Maxime Taquet, Benoit Scherrer and Simon K. Warfield: A Framework for the Analysis of Diffusion Compartment Imaging (DCT) -- 15 Lauren J. O’Donnell and Thomas Schultz: Statistical and Machine Learning Methods for Neuroimaging: Examples, Challenges, and Extensions to Diffusion Imaging Data -- Part V: Applications: 16 A. aries, T. Luciani, P.H. Pisciuneri, M.B. Nik, S.L. Yilmaz, P. Givi and G.E. Marai A Clustering Method for Identifying Regions of Interest in Turbulent Combustion Tensor Fields -- 17 Mark Schöneich, Andrea Kratz, Valentin Zobel, Gerik Scheuermann, Markus Stommel, and Ingrid Hotz: Tensor Lines in Engineering – Success, Failure, and Open Questions -- 18 Vesna Prchkovska, Magí Andorrà , Pablo Villoslada, Eloy Martinez-Heras, Remco Duits, David Fortin, Paulo Rodrigues and Maxime Descoteaux: Contextual Diffusion Image Post-Processing Aids Clinical Applications. |
| Record Nr. | UNINA-9910299785503321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||