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Conference Paper

A Benchmark for Evaluating FTLE Computations

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http://pubman.mpdl.mpg.de/cone/persons/resource/persons123492

Weinkauf,  Tino
Computer Graphics, MPI for Informatics, Max Planck Society;

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Citation

Kuhn, A., Rössl, C., Weinkauf, T., & Theisel, H. (2012). A Benchmark for Evaluating FTLE Computations. In H. Hauser, S. Kobourov, & H. Qu (Eds.), IEEE Pacific Visualization Symposium 2012 (pp. 121-128). Piscataway, NJ: IEEE. doi:10.1109/PacificVis.2012.6183582.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0015-1478-2
Abstract
The Finite Time Lyapunov Exponent (FTLE) has become a widespread tool for analyzing unsteady flow behavior. For its computation, several numerical methods have been introduced, which provide trade-offs between performance and accuracy. In order to decide which methods and parameter settings are suitable for a particular application, an evaluation of the different FTLE methods is necessary. We propose a general benchmark for FTLE computation, which consists of a number of 2D time-dependent flow fields and error measures. Evaluating the accuracy of a numerically computed FTLE field requires a ground truth, which is not available for realistic flow data sets, since such fields can generally not be described in a closed form. To overcome this, we introduce approaches to create non-trivial vector fields with a closed-form formulation of the FTLE field. Using this, we introduce a set of benchmark flow data sets that resemble relevant geometric aspects of Lagrangian structures, but have an analytic solution for FTLE. Based on this ground truth, we perform a comparative evaluation of three standard FTLE concepts. We suggest error measures based on the variance of both, the fields and the extracted ridge structures.