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  A Benchmark for Evaluating FTLE Computations

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.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0015-1478-2 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0024-2FE8-3
Genre: Conference Paper
Latex : A Benchmark for Evaluating {FTLE} Computations

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 Creators:
Kuhn, Alexander1, Author
Rössl, Christian1, Author
Weinkauf, Tino2, Author           
Theisel, Holger1, Author           
Affiliations:
1External Organizations, ou_persistent22              
2Computer Graphics, MPI for Informatics, Max Planck Society, ou_40047              

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 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.

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Language(s): eng - English
 Dates: 20122012
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: Other: Local-ID: 99192240990ED2E8C125796D0017323F-kuhn12a
DOI: 10.1109/PacificVis.2012.6183582
BibTex Citekey: kuhn12a
URI: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6183582&isnumber=6183555
 Degree: -

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Title: IEEE Pacific Visualization Symposium 2012
Place of Event: Songdo, Korea
Start-/End Date: 2012-02-28 - 2012-03-02

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Title: IEEE Pacific Visualization Symposium 2012
  Abbreviation : PacificVis 2012
Source Genre: Proceedings
 Creator(s):
Hauser, Helwig1, Editor
Kobourov, Stephen1, Editor
Qu, Huamin1, Editor
Affiliations:
1 External Organizations, ou_persistent22            
Publ. Info: Piscataway, NJ : IEEE
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 121 - 128 Identifier: ISBN: 978-1-4673-0864-9