Out-of-Core Particle Tracing for Monte Carlo Rendering of Finite-Time Lyapunov Exponents

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dc.contributor.authorGrätz, Nicholasen_US
dc.contributor.authorGünther, Tobiasen_US
dc.contributor.editorGuthe, Michaelen_US
dc.contributor.editorGrosch, Thorstenen_US
dc.date.accessioned2023-09-25T11:39:48Z
dc.date.available2023-09-25T11:39:48Z
dc.date.issued2023
dc.description.abstractThe motion in time-dependent fluid flows is governed by Lagrangian coherent structures (LCS). One common approach to visualize hyperbolic LCS is to extract and visualize the finite-time Lyapunov exponent. Its visualization on large time-dependent fluid flow is challenging for two reasons. First, the time steps needed for particle tracing do not necessarily fit at once into memory. And second, conventional ray marching exhibits artifacts when the FTLE ridges are sharp, which instead requires Monte Carlo volume rendering techniques to produce unbiased results. So far, these two problems have only been looked at in isolation. In this paper, we implement the first out-of-core Monte Carlo FTLE tracer, which is able to visualize the finitetime Lyapunov exponent field of time-dependent fluid flows that do not fit into main memory at once. To achieve this, we designed a data processing pipeline that alternates between two phases: a photon tracing phase and a particle tracing phase. We demonstrate and evaluate the approach on several large time-dependent vector fields.en_US
dc.description.sectionheadersFluid Simulation and Visualization
dc.description.seriesinformationVision, Modeling, and Visualization
dc.identifier.doi10.2312/vmv.20231241
dc.identifier.isbn978-3-03868-232-5
dc.identifier.pages181-188
dc.identifier.pages8 pages
dc.identifier.urihttps://doi.org/10.2312/vmv.20231241
dc.identifier.urihttps://diglib.eg.org:443/handle/10.2312/vmv20231241
dc.publisherThe Eurographics Associationen_US
dc.rightsAttribution 4.0 International License
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectCCS Concepts: Human-centered computing → Scientific visualization; Computing methodologies → Ray tracing
dc.subjectHuman
dc.subjectcentered computing → Scientific visualization
dc.subjectComputing methodologies → Ray tracing
dc.titleOut-of-Core Particle Tracing for Monte Carlo Rendering of Finite-Time Lyapunov Exponentsen_US
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