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Summary: Extraction of Parallel Vector Surfaces in 3D Time-Dependent Fields
and Application to Vortex Core Line Tracking
Holger Theisel
MPI Saarbrücken
Jan Sahner
ZIB Berlin
Tino Weinkauf
ZIB Berlin
Hans-Christian Hege §
ZIB Berlin
Hans-Peter Seidel ¶
MPI Saarbrücken
Figure 1: Flow behind a circular cylinder. Shown are vortex core lines in a certain frame of reference. Their evolution over time is tracked by
our algorithm and depicted using transparent surfaces. Red color encodes the past while gray shows the future.
ABSTRACT
We introduce an approach to tracking vortex core lines in time-
dependent 3D flow fields which are defined by the parallel vectors
approach. They build surface structures in the 4D space-time do-
main. To extract them, we introduce two 4D vector fields which
act as feature flow fields, i.e., their integration gives the vortex core
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