Topological Methods in Data Analysis and Visualization

Theory, Algorithms, and Applications

Editors:

ISBN: 978-3-642-15013-5 (Print) 978-3-642-15014-2 (Online)

Table of contents (20 chapters)

  1. Front Matter

    Pages i-viii

  2. No Access

    Book Chapter

    Pages 1-12

    Geometric Topology & Visualizing 1-Manifolds

  3. No Access

    Book Chapter

    Pages 13-26

    Stripe Parameterization of Tubular Surfaces

  4. No Access

    Book Chapter

    Pages 27-41

    The Stability of the Apparent Contour of an Orientable 2-Manifold

  5. No Access

    Book Chapter

    Pages 43-54

    Reconstructing Cell Complexes From Cross-sections

  6. No Access

    Book Chapter

    Pages 55-66

    Substructure Topology Preserving Simplification of Tetrahedral Meshes

  7. No Access

    Book Chapter

    Pages 67-78

    Practical Considerations in Morse-Smale Complex Computation

  8. No Access

    Book Chapter

    Pages 79-90

    Modeling and Simplifying Morse Complexes in Arbitrary Dimensions

  9. No Access

    Book Chapter

    Pages 91-102

    Simplification of Jacobi Sets

  10. No Access

    Book Chapter

    Pages 103-114

    Combinatorial 2D Vector Field Topology Extraction and Simplification

  11. No Access

    Book Chapter

    Pages 115-126

    On the Extraction of Long-living Features in Unsteady Fluid Flows

  12. No Access

    Book Chapter

    Pages 127-138

    Stream Volume Segmentation of Grid-Less Flow Simulation

  13. No Access

    Book Chapter

    Pages 139-150

    Eigenvector-based Interpolation and Segmentation of 2D Tensor Fields

  14. No Access

    Book Chapter

    Pages 151-165

    Time-Dependent Visualization of Lagrangian Coherent Structures by Grid Advection

  15. No Access

    Book Chapter

    Pages 167-178

    Topological Extraction and Tracking of Defects in Crystal Structures

  16. No Access

    Book Chapter

    Pages 179-192

    Extracting and Visualizing Structural Features in Environmental Point Cloud LiDaR Data Sets

  17. No Access

    Book Chapter

    Pages 193-204

    Topological Flow Structures in a Mathematical Model for Rotation-Mediated Cell Aggregation

  18. No Access

    Book Chapter

    Pages 205-216

    A Categorical Approach to Contour, Split and Join Trees with Application to Airway Segmentation

  19. No Access

    Book Chapter

    Pages 217-228

    Complementary Space for Enhanced Uncertainty and Dynamics Visualization

  20. No Access

    Book Chapter

    Pages 229-240

    Topological Feature Extraction for Comparison of Terascale Combustion Simulation Data

  21. No Access

    Book Chapter

    Pages 241-253

    Feature Tracking Using Reeb Graphs

  22. Back Matter

    Pages 255-260