MCFTLE: Monte Carlo Rendering of Finite‐Time Lyapunov Exponent Fields
MCFTLE: Monte Carlo Rendering of Finite‐Time Lyapunov Exponent Fields
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MCFTLE：有限时间 Lyapunov 指数域的蒙特卡罗渲染
DOI：
10.1111/cgf.12914
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发表时间：
2016
影响因子：
2.5
通讯作者：
H. Theisel
中科院分区：
文献类型：
--
作者：
T. Günther;A. Kuhn;H. Theisel
Traditionally, 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.
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有限时间 Lyapunov 指数域的交互式计算和渲染
影响因子：
5.2
作者：
Samer S. Barakat;C. Garth;X. Tricoche
通讯作者：
X. Tricoche
DOI：
10.1109/tvcg.2012.131
发表时间：
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影响因子：
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作者：
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DOI：
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期刊：
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影响因子：
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作者：
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影响因子：
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作者：
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T. Ertl