Extraction of Distinguished Hyperbolic Trajectories for 2D Time-Dependent Vector Field Topology

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dc.contributor.authorHofmann, Lutzen_US
dc.contributor.authorSadlo, Filipen_US
dc.contributor.editorViola, Ivan and Gleicher, Michael and Landesberger von Antburg, Tatianaen_US
dc.date.accessioned2020-05-24T13:00:49Z
dc.date.available2020-05-24T13:00:49Z
dc.date.issued2020
dc.description.abstractThis paper does two main contributions to 2D time-dependent vector field topology. First, we present a technique for robust, accurate, and efficient extraction of distinguished hyperbolic trajectories (DHT), the generative structures of 2D time-dependent vector field topology. It is based on refinement of initial candidate curves. In contrast to previous approaches, it is robust because the refinement converges for reasonably close initial candidates, it is accurate due to its adaptive scheme, and it is efficient due to its high convergence speed. Second, we provide a detailed evaluation and discussion of previous approaches for the extraction of DHTs and time-dependent vector field topology in general. We demonstrate the utility of our approach using analytical flows, as well as data from computational fluid dynamics.en_US
dc.description.number3
dc.description.sectionheadersTopology
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume39
dc.identifier.doi10.1111/cgf.13982
dc.identifier.issn1467-8659
dc.identifier.pages303-315
dc.identifier.urihttps://doi.org/10.1111/cgf.13982
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf13982
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.rightsAttribution 4.0 International License
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/]
dc.subjectHuman
dc.subjectcentered computing → Visualization techniques
dc.subjectApplied computing → Mathematics and statistics
dc.titleExtraction of Distinguished Hyperbolic Trajectories for 2D Time-Dependent Vector Field Topologyen_US
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