A Particle‐Based Approach to Extract Dynamic 3D FTLE Ridge Geometry

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dc.contributor.authorStelter, Danielen_US
dc.contributor.authorWilde, Thomasen_US
dc.contributor.authorRössl, Christianen_US
dc.contributor.authorTheisel, Holgeren_US
dc.date.accessioned2025-03-07T16:49:26Z
dc.date.available2025-03-07T16:49:26Z
dc.date.issued2024
dc.description.abstractLagrangian coherent structures (LCS) is an important concept for the visualization of unsteady flows. They describe the boundaries of regions for which material transport stays mostly coherent over time which can help for a better understanding of dynamical systems. One of the most common techniques for their computation is the extraction of ridges from the finite‐time Lyapunov exponent (FTLE) field. FTLE ridges are challenging to extract, both in terms of accuracy and performance, because they expose strong gradients of the underlying field, tend to come close to each other and are dynamic with respect to different time parameters. We present a new method for extracting FTLE ridges for series of integration times which is able to show how coherent regions and their borders evolve over time. Our techniques mainly build on a particle system which is used for sampling the ridges uniformly. This system is highly optimized for the challenges of FTLE ridge extraction. Further, it is able to take advantage of the continuous evolvement of the ridges which makes their sampling for multiple integration times much faster. We test our method on multiple 3D datasets and compare it to the standard Marching Ridges technique. For the extraction examples our method is 13 to over 300 times faster, suggesting a significant advantage.en_US
dc.description.number1
dc.description.sectionheadersMajor Revision from Eurographics Conference
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume44
dc.identifier.doi10.1111/cgf.15203
dc.identifier.issn1467-8659
dc.identifier.pages13
dc.identifier.urihttps://doi.org/10.1111/cgf.15203
dc.identifier.urihttps://diglib.eg.org/handle/10.1111/cgf15203
dc.publisherEurographics ‐ The European Association for Computer Graphics and John Wiley & Sons Ltd.en_US
dc.rightsAttribution 4.0 International License
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectvisualization
dc.subjectflow visualization
dc.subjectscientific visualization
dc.subject• Human‐centred computing → Scientific visualization; • Computing methodologies → Computer graphics
dc.titleA Particle‐Based Approach to Extract Dynamic 3D FTLE Ridge Geometryen_US
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