Abstract
We present a unified feature extraction architecture consisting of only three core algorithms that allows to extract and track a rich variety of geometrically defined, local and global features evolving in scalar and vector fields. The architecture builds upon the concepts of Feature Flow Fields and Connectors, which can be implemented using the three core algorithms finding zeros, integrating and intersecting stream objects. We apply our methods to extract and track the topology and vortex core lines both in steady and unsteady flow fields.
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References
D.C. Banks and B.A. Singer. A predictor-corrector technique for visualizing unsteady flow. IEEE Transactions on Visualization and Computer Graphics, 1(2):151–163, 1995.
E. Caraballo, M. Samimy, and DeBonis J. Low dimensional modeling of flow for closedloop flow control. AIAA Paper 2003-0059.
W. de Leeuw and R. van Liere. Collapsing flow topology using area metrics. In Proc. IEEE Visualization’ 99, pages 149–354, 1999.
C. Garth, X. Tricoche, and G. Scheuermann. Tracking of vector field singularities in unstructured 3D time-dependent datasets. In Proc. IEEE Visualization 2004, pages 329–336, 2004.
A. Globus, C. Levit, and T. Lasinski. A tool for visualizing the topology of three-dimensional vector fields. In Proc. IEEE Visualization’ 91, pages 33–40, 1991.
J. Helman and L. Hesselink. Representation and display of vector field topology in fluid flow data sets. IEEE Computer, 22(8):27–36, August 1989.
J. Hultquist. Constructing stream surfaces in steady 3D vector fields. In Proc. IEEE Visualization’ 92, pages 171–177, 1992.
J. Jeong and F. Hussain. On the identification of a vortex. J. Fluid Mechanics, 285:69–94, 1995.
S.K. Lodha, J.C. Renteria, and K.M. Roskin. Topology preserving compression of 2D vector fields. In Proc. IEEE Visualization 2000, pages 343–350, 2000.
N. Max, B. Becker, and R. Crawfis. Flow volumes for interactive vector field visualization. In Proc. Visualization 93, pages 19–24, 1993.
B.R. Noack and H. Eckelmann. A low-dimensional galerkin method for the three-dimensional flow around a circular cylinder. Phys. Fluids, 6:124–143, 1994.
R. Peikert and M. Roth. The parallel vectors operator-a vector field visualization primitive. In Proc. IEEE Visualization 99, pages 263–270, 1999.
F.H. Post, B. Vrolijk, H. Hauser, R.S. Laramee, and H. Doleisch. Feature extraction and visualisation of flow fields. In Proc. Eurographics 2002, State of the Art Reports, pages 69–100, 2002.
M. Roth and R. Peikert. Flow visualization for turbomachinery design. In Proc. Visualization 96, pages 381–384, 1996.
M. Roth and R. Peikert. A higher-order method for finding vortex core lines. In D. Ebert, H. Hagen, and H. Rushmeier, editors, Proc. IEEE Visualization’ 98, pages 143–150, Los Alamitos, 1998. IEEE Computer Society Press.
G. Scheuermann, H. Krüger, M. Menzel, and A. Rockwood. Visualizing non-linear vector field topology. IEEE Transactions on Visualization and Computer Graphics, 4(2):109–116, 1998.
D. Stalling, M. Westerhoff, and H.-C. Hege. Amira: A highly interactive system for visual data analysis. The Visualization Handbook, pages 749–767, 2005.
D. Sujudi and R. Haimes. Identification of swirling flow in 3D vector fields. Technical report, Department of Aeronautics and Astronautics, MIT, 1995. AIAA Paper 95-1715.
H. Theisel. Designing 2D vector fields of arbitrary topology. Computer Graphics Forum (Eurographics 2002), 21(3):595–604, 2002.
H. Theisel, J. Sahner, T. Weinkauf, H.-C. Hege, and H.-P. Seidel. Extraction of parallel vector surfaces in 3d time-dependent fields and application to vortex core line tracking. In Proc. IEEE Visualization 2005, pages 631–638, 2005.
H. Theisel and H.-P. Seidel. Feature flow fields. In Data Visualization 2003. Proc. VisSym 03, pages 141–148, 2003.
H. Theisel, T. Weinkauf, H.-C. Hege, and H.-P. Seidel. Saddle connectors-an approach to visualizing the topological skeleton of complex 3D vector fields. In Proc. IEEE Visualization 2003, pages 225–232, 2003.
H. Theisel, T. Weinkauf, H.-C. Hege, and H.-P. Seidel. Grid-independent detection of closed stream lines in 2D vector fields. In Proc. Vision, Modeling and Visualization 2004, 2004.
H. Theisel, T. Weinkauf, H.-C. Hege, and H.-P. Seidel. Topological methods for 2D time-dependent vector fields based on stream lines and path lines. IEEE Transactions on Visualization and Computer Graphics, 11(4):383–394, 2005.
X. Tricoche, G. Scheuermann, and H. Hagen. Continuous topology simplification of planar vector fields. In Proc. Visualization 01, pages 159–166, 2001.
Xavier Tricoche, Christoph Garth, Gordon Kindlmann, Eduard Deines, Gerik Scheuermann, Markus Ruetten, and Charles Hansen. Visualization of intricate flow structures for vortex breakdown analysis. In Proc. IEEE Visualization 2004, pages 187–194, 2004.
T. Weinkauf, H. Theisel, H.-C. Hege, and H.-P. Seidel. Boundary switch connectors for topological visualization of complex 3D vector fields. In Data Visualization 2004. Proc. VisSym 04, pages 183–192, 2004.
T. Weinkauf, H. Theisel, H.-C. Hege, and H.-P. Seidel. Topological construction and visualization of higher order 3D vector fields. Computer Graphics Forum (Eurographics 2004), 23(3):469–478, 2004.
T. Weinkauf, H. Theisel, H.-C. Hege, and H.-P. Seidel. Feature flow fields in out-of-core settings. In Proc. Topo-In-Vis 2005, Budmerice, Slovakia, 2005.
T. Weinkauf, H. Theisel, K. Shi, H.-C. Hege, and H.-P. Seidel. Topological simplification of 3d vector fields by extracting higher order critical points. In Proc. IEEE Visualization 2005, pages 559–566, 2005.
R. Westermann, C. Johnson, and T. Ertl. Topology-preserving smoothing of vector fields. IEEE Transactions on Visualization and Computer Graphics, 7(3):222–229, 2001.
T. Wischgoll and G. Scheuermann. Detection and visualization of closed streamlines in planar flows. IEEE Transactions on Visualization and Computer Graphics, 7(2):165–172, 2001.
H.-Q. Zhang, U. Fey, B.R. Noack, M. König, and H. Eckelmann. On the transition of the cylinder wake. Phys. Fluids, 7(4):779–795, 1995.
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Weinkauf, T., Sahner, J., Theisel, H., Hege, HC., Seidel, HP. (2007). A Unified Feature Extraction Architecture. In: King, R. (eds) Active Flow Control. Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM), vol 95. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71439-2_8
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DOI: https://doi.org/10.1007/978-3-540-71439-2_8
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