Publications

Objective Finite-Time Flow Topology from Flowmap Expansion and Contraction

Roxana Bujack, Soumya Dutta, Duan Zhang and Tobias Günther

TopoInVis, 2019

🏆 Best Paper Award

Abstract

We extend the definition of the classic instantaneous vector field saddles, sinks, and sources to the finite-time setting by categorizing the domain based on the behavior of the flow map w.r.t. contraction or expansion. Since the intuitive Lagrangian approach turns out to be unusable in practice because it requires advection in unstable regions, we provide an alternative, sufficient criterion that can be computed in a robust way. We show that both definitions are objective, relate them to existing approaches, and show how the generalized critical points and their separatrices can be visualized.

Download



BibTeX

@inproceedings{Bujack19TopoInVis,
  author = {Bujack, Roxana and Dutta, Soumya and Zhang, Duan and G{\"u}nther, Tobias},
  title = {Objective Finite-Time Flow Topology from Flowmap Expansion and Contraction},
  booktitle = {TopoInVis},
  pages = {111-131},
  year = {2019},
  publisher = {Springer},
  address = {Nyk{\"o}ping, Sweden},
  doi = {10.1007/978-3-030-83500-2_7},
}