Topological Methods in Data Analysis and Visualization II

Theory, Algorithms, and Applications

Editors:

ISBN: 978-3-642-23174-2 (Print) 978-3-642-23175-9 (Online)

Table of contents (19 chapters)

  1. Front Matter

    Pages i-xi

  2. Computational discrete morse theory

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-14

      Computational Discrete Morse Theory for Divergence-Free 2D Vector Fields

    3. No Access

      Book Chapter

      Pages 15-29

      Efficient Computation of a Hierarchy of Discrete 3D Gradient Vector Fields

    4. No Access

      Book Chapter

      Pages 31-45

      Computing Simply-Connected Cells in Three-Dimensional Morse-Smale Complexes

    5. No Access

      Book Chapter

      Pages 47-59

      Combinatorial Vector Field Topology in Three Dimensions

  3. Hierarchical methods

    1. Front Matter

      Pages 61-61

    2. No Access

      Book Chapter

      Pages 63-76

      Topological Cacti: Visualizing Contour-Based Statistics

    3. No Access

      Book Chapter

      Pages 77-90

      Enhanced Topology-Sensitive Clustering by Reeb Graph Shattering

    4. No Access

      Book Chapter

      Pages 91-106

      Efficient Computation of Persistent Homology for Cubical Data

  4. Hierarchical methods

    1. Front Matter

      Pages 107-107

    2. No Access

      Book Chapter

      Pages 109-124

      Visualizing Invariant Manifolds in Area-Preserving Maps

    3. No Access

      Book Chapter

      Pages 125-140

      Understanding Quasi-Periodic Fieldlines and Their Topology in Toroidal Magnetic Fields

    4. No Access

      Book Chapter

      Pages 141-159

      Consistent Approximation of Local Flow Behavior for 2D Vector Fields Using Edge Maps

    5. No Access

      Book Chapter

      Pages 161-175

      Cusps of Characteristic Curves and Intersection-Aware Visualization of Path and Streak Lines

    6. No Access

      Book Chapter

      Pages 177-190

      Glyphs for Non-Linear Vector Field Singularities

    7. No Access

      Book Chapter

      Pages 191-204

      2D Asymmetric Tensor Field Topology

  5. Hierarchical methods

    1. Front Matter

      Pages 205-205

    2. No Access

      Book Chapter

      Pages 207-220

      On the Elusive Concept of Lagrangian Coherent Structures

    3. No Access

      Book Chapter

      Pages 221-235

      Ridge Concepts for the Visualization of Lagrangian Coherent Structures

    4. No Access

      Book Chapter

      Pages 237-253

      Filtering of FTLE for Visualizing Spatial Separation in Unsteady 3D Flow

    5. No Access

      Book Chapter

      Pages 255-268

      A Variance Based FTLE-Like Method for Unsteady Uncertain Vector Fields

    6. No Access

      Book Chapter

      Pages 269-281

      On the Finite-Time Scope for Computing Lagrangian Coherent Structures from Lyapunov Exponents

    7. No Access

      Book Chapter

      Pages 283-296

      Scale-Space Approaches to FTLE Ridges

  6. Back Matter

    Pages 297-299