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Efficient Computation of Combinatorial Feature Flow Fields
Sept. 2012 (vol. 18 no. 9)
pp. 1563-1573
ASCII Text
x 
 
J. Kasten, J. Reininghaus, T. Weinkauf, I. Hotz, "Efficient Computation of Combinatorial Feature Flow Fields," IEEE Transactions on Visualization and Computer Graphics, vol. 18, no. 9, pp. 1563-1573, Sept., 2012.
 
 
BibTex
x
 
@article{ 10.1109/TVCG.2011.269,
author = {J. Kasten and J. Reininghaus and T. Weinkauf and I. Hotz},
title = {Efficient Computation of Combinatorial Feature Flow Fields},
journal ={IEEE Transactions on Visualization and Computer Graphics},
volume = {18},
number = {9},
issn = {1077-2626},
year = {2012},
pages = {1563-1573},
doi = {http://doi.ieeecomputersociety.org/10.1109/TVCG.2011.269},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - JOUR
JO - IEEE Transactions on Visualization and Computer Graphics
TI - Efficient Computation of Combinatorial Feature Flow Fields
IS - 9
SN - 1077-2626
SP1563
EP1573
EPD - 1563-1573
A1 - J. Kasten,
A1 - J. Reininghaus,
A1 - T. Weinkauf,
A1 - I. Hotz,
PY - 2012
KW - numerical analysis
KW - combinatorial mathematics
KW - computational fluid dynamics
KW - flow visualisation
KW - flow visualization
KW - combinatorial feature flow field computation
KW - combinatorial algorithm
KW - critical points tracking
KW - 2D time-dependent scalar fields
KW - tracking algorithms
KW - numerical schemes
KW - computational parameters
KW - noise robustness
KW - importance measure
KW - spatial persistence
KW - temporal evolution
KW - time-aware feature hierarchy
KW - computational fluid dynamics
KW - Feature extraction
KW - Algorithm design and analysis
KW - Joining processes
KW - Manifolds
KW - Noise measurement
KW - Jacobian matrices
KW - Noise
KW - graph algorithms.
KW - Flow visualization
VL - 18
JA - IEEE Transactions on Visualization and Computer Graphics
ER -
 
J. Kasten, Konrad-Zuse-Zentrum fuer Informationstechnik, Zuse Inst., Berlin, Germany
J. Reininghaus, Konrad-Zuse-Zentrum fuer Informationstechnik, Zuse Inst., Berlin, Germany
T. Weinkauf, Dept. 4: Comput. Graphics, Max Planck Inst. for Inf., Saarbrucken, Germany
I. Hotz, Konrad-Zuse-Zentrum fuer Informationstechnik, Zuse Inst., Berlin, Germany
We propose a combinatorial algorithm to track critical points of 2D time-dependent scalar fields. Existing tracking algorithms such as Feature Flow Fields apply numerical schemes utilizing derivatives of the data, which makes them prone to noise and involve a large number of computational parameters. In contrast, our method is robust against noise since it does not require derivatives, interpolation, and numerical integration. Furthermore, we propose an importance measure that combines the spatial persistence of a critical point with its temporal evolution. This leads to a time-aware feature hierarchy, which allows us to discriminate important from spurious features. Our method requires only a single, easy-to-tune computational parameter and is naturally formulated in an out-of-core fashion, which enables the analysis of large data sets. We apply our method to synthetic data and data sets from computational fluid dynamics and compare it to the stabilized continuous Feature Flow Field tracking algorithm.

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Index Terms:
numerical analysis,combinatorial mathematics,computational fluid dynamics,flow visualisation,flow visualization,combinatorial feature flow field computation,combinatorial algorithm,critical points tracking,2D time-dependent scalar fields,tracking algorithms,numerical schemes,computational parameters,noise robustness,importance measure,spatial persistence,temporal evolution,time-aware feature hierarchy,computational fluid dynamics,Feature extraction,Algorithm design and analysis,Joining processes,Manifolds,Noise measurement,Jacobian matrices,Noise,graph algorithms.,Flow visualization
Citation:
J. Kasten, J. Reininghaus, T. Weinkauf, I. Hotz, "Efficient Computation of Combinatorial Feature Flow Fields," IEEE Transactions on Visualization and Computer Graphics, vol. 18, no. 9, pp. 1563-1573, Sept. 2012, doi:10.1109/TVCG.2011.269
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