MCFTLE: Monte Carlo Rendering of Finite-Time Lyapunov Exponent Fields

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dc.contributor.authorGünther, Tobiasen_US
dc.contributor.authorKuhn, Alexanderen_US
dc.contributor.authorTheisel, Holgeren_US
dc.contributor.editorKwan-Liu Ma and Giuseppe Santucci and Jarke van Wijken_US
dc.date.accessioned2016-06-09T09:32:59Z
dc.date.available2016-06-09T09:32:59Z
dc.date.issued2016en_US
dc.description.abstractTraditionally, Lagrangian fields such as finite-time Lyapunov exponents (FTLE) are precomputed on a discrete grid and are ray casted afterwards. This, however, introduces both grid discretization errors and sampling errors during ray marching. In this work, we apply a progressive, view-dependent Monte Carlo-based approach for the visualization of such Lagrangian fields in time-dependent flows. Our approach avoids grid discretization and ray marching errors completely, is consistent, and has a low memory consumption. The system provides noisy previews that converge over time to an accurate high-quality visualization. Compared to traditional approaches, the proposed system avoids explicitly predefined fieldline seeding structures, and uses a Monte Carlo sampling strategy named Woodcock tracking to distribute samples along the view ray. An acceleration of this sampling strategy requires local upper bounds for the FTLE values, which we progressively acquire during the rendering. Our approach is tailored for high-quality visualizations of complex FTLE fields and is guaranteed to faithfully represent detailed ridge surface structures as indicators for Lagrangian coherent structures (LCS). We demonstrate the effectiveness of our approach by using a set of analytic test cases and real-world numerical simulations.en_US
dc.description.number3en_US
dc.description.sectionheadersFlow Visualizationen_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume35en_US
dc.identifier.doi10.1111/cgf.12914en_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages381-390en_US
dc.identifier.urihttps://doi.org/10.1111/cgf.12914en_US
dc.identifier.urihttps://diglib.eg.org:443/handle/10
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectI.3.3 [Computer Graphics]en_US
dc.subjectPicture/Image Generationen_US
dc.subjectDisplay algorithmsen_US
dc.subjecten_US
dc.subjectI.3.7 [Computer Graphics]en_US
dc.subjectThree Dimensional Graphics and Realismen_US
dc.subjectRaytracingen_US
dc.titleMCFTLE: Monte Carlo Rendering of Finite-Time Lyapunov Exponent Fieldsen_US
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35-Issue 3
EuroVis16: Eurographics Conference on Visualization