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Vector and Tensor Field Topology Simplification on Irregular Grids

  • Conference paper
Data Visualization 2001

Part of the book series: Eurographics ((EUROGRAPH))

Abstract

Topology-based visualization of planar turbulent flows results in visual clutter due to the presence of numerous features of very small scale. In this paper, we attack this problem with a topology simplification method for vector and tensor fields defined on irregular grids. This is the generalization of previous work dealing with structured grids. The method works for all interpolation schemes.

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References

  1. Helman J.L., Hesselink L., Visualizing Vector Field Topology in Fluid Flows. IEEE Computer Graphics and Applications, 1991, pp.36–46.

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  2. Delmarcelle T., The Visualization of Second-Order Tensor Fields. PhD Thesis, Stanford University, 1994.

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  3. X. Tricoche, G. Scheuermann, H. Hagen, A Topology Simplification Method for 2D Vector Fields. In Proceedings IEEE Visualization’OO, IEEE Computer Society, Los Alamitos CA, 2000, pp.359–366.

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  4. de Leeuw W., van Liere R., Collapsing Flow Topology Using Area Metrics. In Proceedings of IEEE Visualization’ 99, IEEE Computer Society, Los Alamitos CA, 1999, pp.349-354

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  5. Heckel B., Weber G., Hamann B., Joy K.I., Construction of Vector Field Hierarchies. In Proceedings of IEEE Visualization’ 99, IEEE Computer Society, Los Alamitos CA, 1999, pp. 19–25.

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  6. Tricoche X., Scheuermann G., Hagen H., Clauss S., Scaling the Topology of Symmetric Second-Order Tensor Fields In NSF/DoE Lake Tahoe Workshop on Hierarchical Methods for Scientific Visualization, October 2000.

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Author information

Authors and Affiliations

  1. University of Kaiserslautern, P.O. Box 3049, D-67653, Kaiserslautern, Germany

    Xavier Tricoche, Gerik Scheuermann, Hans Hagen & Stefan Clauss

Authors
  1. Xavier Tricoche
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  2. Gerik Scheuermann
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  3. Hans Hagen
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  4. Stefan Clauss
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Editor information

Editors and Affiliations

  1. School of Electrical and Computer Engineering, Purdue University, West Lafayette, USA

    David S. Ebert

  2. Data Mining & Visualization, CSCS, Manno, Switzerland

    Jean M. Favre

  3. Institut für wissenschaftliches Rechnen, ETH-Zentrum, IFW, Zürich, Switzerland

    Ronald Peikert

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© 2001 Springer-Verlag Wien

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Cite this paper

Tricoche, X., Scheuermann, G., Hagen, H., Clauss, S. (2001). Vector and Tensor Field Topology Simplification on Irregular Grids. In: Ebert, D.S., Favre, J.M., Peikert, R. (eds) Data Visualization 2001. Eurographics. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6215-6_12

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  • DOI: https://doi.org/10.1007/978-3-7091-6215-6_12

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-83674-3

  • Online ISBN: 978-3-7091-6215-6

  • eBook Packages: Springer Book Archive

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