Summary
In this paper three types of visualization scenarios are discussed, where topology improves the readability of particular visualization results. The first type combines topology information represented by simple graphical primitives with other forms of visual representations. The second type uses the topology information to define the relevance of objects within the data. The relevance is reflected in the visualization by applying the cut-away concept. The third type of visualizations is based on the change of topology of the underlying data to increase visibility of the most interesting information. Every type handles topology in a different way. This illustrates various roles of topology in scientific visualization.
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References
S. Grimm, S. Bruckner, A. Kanitsar, and E. Gröller. Flexible direct multivolume rendering in interactive scenes. In Proceedings of Vision, Modeling, and Visualization’04, pages 379-386, 2004.
H. Hauser. Scientific Visualization: The Visual Extraction of Knowledge from Data, chapter Generalizing Focus+Context Visualization, pages 305-327. Springer-Verlag, 2005.
J. Hladůvka. Derivatives and Eigensystems for Volume-Data Analysis and Visualization. PhD thesis, Vienna University of Technology, Austria, 2001.
H. Löffelmann. Visualizing Local Properties and Characteristic Structures of Dynamical Systems. PhD thesis, Vienna University of Technology, Austria, 1998.
Y. Sato, C. Westin, A. Bhalerao, S. Nakajima, N. Shiraga, S. Yoshida, and R. Kikinis. Tissue classification based on 3d local intensity structures for volume rendering. IEEE Transactions on Visualization and Computer Graphics, 6 (2):160-180, 2000.
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 Proceedings of IEEE Visualization 2003, pages 225-232, 2003.
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, C. Garth, G. Kindlmann, E. Deines, G. Scheuermann, M. Ruetten, and C. Hansen. Visualization of intricate flow structures for vortex breakdown analysis. In Proceedings of IEEE Visualization 2004, pages 187-194, 2004.
J. J. van Wijk. Spot noise: Texture synthesis for data visualization. Computer Graphics, 25(4):319-318, 1991.
A. Vilanova. Visualization Techniques for Virtual Endoscopy. PhD thesis, Vienna University of Technology, Austria, 2001.
I. Viola. Importance-Driven Expressive Visualization. PhD thesis, Vienna University of Technology, Austria, 2005.
I. Viola, A. Kanitsar, and M. E. Gröller. Importance-driven feature enhancement in volume visualization. IEEE Transactions on Visualization and Computer Graphics, 11(4):408-418, 2005.
T. Weinkauf, H. Theisel, H.-C. Hege, and H.-P. Seidel. Topological construction and visualization of higher order 3D vector fields. In Proceedings of Eurographics 2004, pages 469-478, 2004.
X. Zheng and A. Pang. Topological lines in 3D tensor fields. In Proceedings of IEEE Visualization 2004, pages 313-320, 2004.
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Viola, I., Gröller, E. (2007). On the Role of Topology in Focus+Context Visualization. In: Hauser, H., Hagen, H., Theisel, H. (eds) Topology-based Methods in Visualization. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70823-0_12
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DOI: https://doi.org/10.1007/978-3-540-70823-0_12
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