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

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 parameterdependent 2D vector fields.

[1]  Robert R. Dickinson.  Interactive analysis of the topology of 4D vector fields , 1991, IBM J. Res. Dev..

[2]  Lambertus Hesselink,et al.  Surface representations of two- and three-dimensional fluid flow topology , 1990, Proceedings of the First IEEE Conference on Visualization: Visualization `90.

[3]  Hans Hagen,et al.  Scientific Visualization: Overviews, Methodologies, and Techniques , 1997 .

[4]  David A. Lane.  UFAT-a particle tracer for time-dependent flow fields , 1994, Proceedings Visualization '94.

[5]  Hans Hagen,et al.  A data dependent triangulation for vector fields , 1998, Proceedings. Computer Graphics International (Cat. No.98EX149).

[6]  Lambertus Hesselink,et al.  Representation and display of vector field topology in fluid flow data sets , 1989, Computer.

[7]  Nelson L. Max,et al.  Unsteady flow volumes , 1995, Proceedings Visualization '95.