Visualization of discontinuous vector field topology

• Verfasst von: Miftari, Egzon [VerfasserIn]
• Verfasst von: Durstewitz, Daniel [VerfasserIn]
• Verfasst von: Sadlo, Filip [VerfasserIn]
• Titel: Visualization of discontinuous vector field topology
• Verf.angabe: Egzon Miftari, Daniel Durstewitz, Filip Sadlo
• E-Jahr: 2024
• Jahr: January 2024
• Umfang: 10 S.
• Illustrationen: Illustrationen
• Fussnoten: Online veröffentlicht: 25. Oktober 2023 ; Gesehen am 16.08.2024
• Titel Quelle: Enthalten in: Institute of Electrical and Electronics EngineersIEEE transactions on visualization and computer graphics
• Ort Quelle: New York, NY : IEEE, 1995
• Jahr Quelle: 2024
• Band/Heft Quelle: 30(2024), 1 vom: Jan., Seite 45-54
• ISSN Quelle: 1941-0506
• DOI: doi:10.1109/TVCG.2023.3326519
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: Behavioral sciences
• Sach-SW: Discontinuous vector field topology
• Sach-SW: Dynamical systems
• Sach-SW: Eigenvalues and eigenfunctions
• Sach-SW: equivalence in non-unique flow
• Sach-SW: Manifolds
• Sach-SW: non-smooth dynamical systems
• Sach-SW: Orbits
• Sach-SW: Switches
• Sach-SW: Topology
• K10plus-PPN: 1899043454

Abstract

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.