Visualization of discontinuous vector field topology
This paper extends the concept and the visualization of vector field topology to vector fields with discontinuities. We address the non-uniqueness of flow in such fields by introduction of a time-reversible concept of equivalence. This concept generalizes streamlines to streamsets and thus vector fi...
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| Hauptverfasser: | , , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
January 2024
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| In: |
IEEE transactions on visualization and computer graphics
Year: 2024, Jahrgang: 30, Heft: 1, Pages: 45-54 |
| ISSN: | 1941-0506 |
| DOI: | 10.1109/TVCG.2023.3326519 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1109/TVCG.2023.3326519 Verlag, lizenzpflichtig, Volltext: https://ieeexplore.ieee.org/document/10296524 
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| Verfasserangaben: | Egzon Miftari, Daniel Durstewitz, Filip Sadlo |
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| 520 | |a This paper extends the concept and the visualization of vector field topology to vector fields with discontinuities. We address the non-uniqueness of flow in such fields by introduction of a time-reversible concept of equivalence. This concept generalizes streamlines to streamsets and thus vector field topology to discontinuous vector fields in terms of invariant streamsets. We identify respective novel critical structures as well as their manifolds, investigate their interplay with traditional vector field topology, and detail the application and interpretation of our approach using specifically designed synthetic cases and a simulated case from physics. | ||
| 650 | 4 | |a Behavioral sciences | |
| 650 | 4 | |a Discontinuous vector field topology | |
| 650 | 4 | |a Dynamical systems | |
| 650 | 4 | |a Eigenvalues and eigenfunctions | |
| 650 | 4 | |a equivalence in non-unique flow | |
| 650 | 4 | |a Manifolds | |
| 650 | 4 | |a non-smooth dynamical systems | |
| 650 | 4 | |a Orbits | |
| 650 | 4 | |a Switches | |
| 650 | 4 | |a Topology | |
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