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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Bibliographic Details
Main Authors: Miftari, Egzon (Author) , Durstewitz, Daniel (Author) , Sadlo, Filip (Author)
Format: Article (Journal)
Language:English
Published: January 2024
In: IEEE transactions on visualization and computer graphics
Year: 2024, Volume: 30, Issue: 1, Pages: 45-54
ISSN:1941-0506
DOI:10.1109/TVCG.2023.3326519
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1109/TVCG.2023.3326519
Verlag, lizenzpflichtig, Volltext: https://ieeexplore.ieee.org/document/10296524
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Author Notes:Egzon Miftari, Daniel Durstewitz, Filip Sadlo
Description
Summary: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.
Item Description:Online veröffentlicht: 25. Oktober 2023
Gesehen am 16.08.2024
Physical Description:Online Resource
ISSN:1941-0506
DOI:10.1109/TVCG.2023.3326519