Topology-Based Visualization of Time-Dependent 2D Vector Fields

  • Xavier Tricoche
  • Gerik Scheuermann
  • Hans Hagen
Part of the Eurographics book series (EUROGRAPH)


Topology-based methods have been successfully applied to the visualization of instantaneous planar vector fields. In this paper, we present the topology-based visualization of time-dependent 2D flows. Our method tracks critical points over time precisely. The detection and classification of bifurcations delivers the topological structure of time dependent vector fields. This offers a general framework for the qualitative analysis and visualization of parameter dependent 2D vector fields.


Vector Field Hopf Bifurcation Time Plane Global Bifurcation Local Bifurcation 
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Copyright information

© Springer-Verlag Wien 2001

Authors and Affiliations

  • Xavier Tricoche
    • 1
  • Gerik Scheuermann
    • 1
  • Hans Hagen
    • 1
  1. 1.University of KaiserslauternKaiserslauternGermany

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